Marginalism is the use of marginal concepts within economics. (Marginal concepts are associated with with a specific change in the quantity used of a good or service, as opposed to some notion of the over-all significance of that class of good or service, or of some total quantity thereof.) The central concept of marginalism proper is that of marginal utility, but marginalists following the lead of Alfred Marshall were further heavily dependent upon the concept of marginal physical productivity in their explanation of cost; and the neoclassical tradition that emerged from British marginalism generally abandoned the concept of utility and gave marginal rates of substitution a more fundamental rôle in analysis. In economics, marginal concepts refer to the effect of producing or consuming one more of a good, i. ... Face-to-face trading interactions on the New York Stock Exchange trading floor. ... “Marginal revolution” redirects here. ... Alfred Marshall Alfred Marshall (July 26, 1842–July 13, 1924), born in Bermondsey, London, England, became one of the most influential economists of his time. ... In economics, the marginal product or marginal physical product of an input to production during a specific time period is as follows, assuming that no other inputs to production change: marginal product of X used in producing Y = ΔY/ΔX = (the change of Y)/(the change of X). ... In economics, business, and accounting, a cost is the value of inputs that have been used up to produce something, and hence are not available for use anymore. ... Neoclassical economics refers to a general approach (a metatheory) to economics based on supply and demand which depends on individuals (or any economic agent) operating rationally, each seeking to maximize their individual utility or profit by making choices based on available information. ... For other uses, see Utility (disambiguation). ... In economics, the marginal rate of substitution (MRS for short) is the rate at which consumers are willing to give up units of one good in exchange for more units of another good. ...

Important marginal concepts

Marginality

Constraints are conceptualized as a border or margin. The location of the margin for any individual corresponds to his or her endowment, broadly conceived to include opportunities. This endowment is determined by many things including physical laws (which constrain how forms of energy and matter may be transformed), accidents of nature (which determine the presence of natural resources), and the outcomes of past decisions made both by others and by the individual himself or herself.

A value that holds true given particular constraints is a marginal value. A change that would be effected as or by a specific loosening or tightening of those constraints is a marginal change.

Neoclassical economics usually assumes that marginal changes are infinitesimals or limits. (Though this assumption makes the analysis less robust, it increases tractability.) One is therefore often told that “marginal” is synonymous with “very small”, though in more general analysis this may not be operationally true (and would not in any case be literally true). Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. ... Wikibooks Calculus has a page on the topic of Limits In mathematics, the concept of a limit is used to describe the behavior of a function as its argument either gets close to some point, or as it becomes arbitrarily large; or the behavior of a sequences elements as...

Marginal use

Main article: Marginal use

The marginal use of a good or service is the specific use to which an agent would put a given increase, or the specific use of the good or service that would be abandoned in response to a given decrease.^[1] A good in economics is any physical object (natural or man-made) or service that, upon consumption, increases utility, and therefore can be sold at a price in a market. ...

Marginalism assumes, for any given agent, economically rationality and an ordering of possible states-of-the-world, such that, for any given set of constraints, there is an attainable state which is best in the eyes of that agent. Descriptive marginalism asserts that choice amongst the specific means by which various anticipated specific states-of-the-world (outcomes) might be effected is governed only by the distinctions amongst those specific outcomes; prescriptive marginalism asserts that such choice ought to be so governed. Rational choice theory assumes human behavior is guided by instrumental reason. ... Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering. ... In the humanities and social sciences, the term positive is used in a number of ways. ... Normative economics is the branch of economics that incorporates value judgments about what the economy should be like or what particular policy actions should be recommended to achieve a desirable goal. ...

On such assumptions, each increase would be put to the specific, feasible, previously unrealized use of greatest priority, and each decrease would result in abandonment of the use of lowest priority amongst the uses to which the good or service had been put.^[1]

Marginal utility

Main article: Marginal utility

The marginal utility of a good or service is the utility of its marginal use. Under the assumption of economic rationality, it is the utility of its least urgent possible use from the best feasible combination of actions in which its use is included. “Marginal revolution” redirects here. ...

In 20th century mainstream economics, the term “utility” has come to be formally defined as a quantification capturing preferences by assigning greater quantities to states, goods, services, or applications that are of higher priority. But marginalism and the concept of marginal utility predate the establishment of this convention within economics. The more general conception of utility is that of use or usefulness, and this conception is at the heart of marginalism; the term “marginal utility” arose from translation of the German “Grenznutzen”,^[1][2] which literally means border use, referring directly to the marginal use, and the more general formulations of marginal utility do not treat quantification as an essential feature.^[3] On the other hand, none of the early marginalists insisted that utility were not quantified,^[4][5] some indeed treated quantification as an essential feature, and those who did not still used an assumption of quantification for expository purposes. In this context, it is not surprising to find many presentations that fail to recognize a more general approach. For other uses, see Utility (disambiguation). ... In mathematics the concept of a measure generalizes notions such as length, area, and volume (but not all of its applications have to do with physical sizes). ...

Quantified marginal utility

Under the special case in which usefulness can be quantified, the change in utility of moving from state S₁ to state S₂ is A special case is generally an unexpected circumstance which may occur but should usually not. ...

Moreover, if S₁ and S₂ are distinguishable by values of just one variable which is itself quantified, then it becomes possible to speak of the ratio of the marginal utility of the change in to the size of that change:

(where “c.p.” indicates that the only independent variable to change is ). Ceteris paribus is a Latin phrase, literally translated as with other things [being] the same, and usually rendered in English as all other things being equal. ... Dependent variables and independent variables refer to values that change in relationship to each other. ...

Mainstream neoclassical economics will typically assume that

is well defined, and use “marginal utility” to refer to a partial derivative In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). ...

The “law” of diminishing marginal utility

The “law” of diminishing marginal utility (also known as a “Gossen's First Law”) is that, ceteris paribus, as additional amounts of a good or service are added to available resources, their marginal utilities are decreasing. This “law” is sometimes treated as a tautology, sometimes as something proven by introspection, or sometimes as a mere instrumental assumption, adopted only for its perceived predictive efficacy. Actually, it is not quite any of these things, though it may have aspects of each. The “law” does not hold under all circumstances, so it is neither a tautology nor otherwise proveable; but it has a basis in prior observation. Hermann Heinrich Gossen (7 September 1810 in Düren – 13 February 1858 in Cologne) was a Prussian economist. ... Ceteris paribus is a Latin phrase, literally translated as with other things [being] the same, and usually rendered in English as all other things being equal. ... In the philosophy of science, instrumentalism is the view that concepts and theories are merely useful instruments whose worth is measured not by whether the concepts and theories are true or false (or correctly depict reality), but by how effective they are in explaining and predicting phenomena. ...

An individual will typically be able to partially order the potential uses of a good or service. If there is scarcity, then a rational agent will satisfy wants of highest possible priority, so that no want is avoidably sacrificed to satisfy a want of lower priority. In the absence of complementarity across the uses, this will imply that the priority of use of any additional amount will be lower than the priority of the established uses, as in this famous example: In mathematics, especially order theory, a partially ordered set (or poset) is a set equipped with a partial order relation. ... In economics, scarcity is defined as a condition of limited resources, where society does not have sufficient resources to produce enough to fulfill subjective wants. ...

A pioneer farmer had five sacks of grain, with no way of selling them or buying more. He had five possible uses: as basic feed for himself, food to build strength, food for his chickens for dietary variation, an ingredient for making whisky and feed for his parrots to amuse him. Then the farmer lost one sack of grain. Instead of reducing every activity by a fifth, the farmer simply starved the parrots as they were of less utility than the other four uses; in other words they were on the margin. And it is on the margin, and not with a view to the big picture, that we make economic decisions.^[6]

Diminishing marginal utility, given quantification

However, if there is a complementarity across uses, then an amount added can bring things past a desired tipping point, or an amount subtracted cause them to fall short. In such cases, the marginal utility of a good or service might actually be increasing. Image File history File links Marginal-utility. ... Image File history File links Marginal-utility. ... The phrase tipping point or angle of repose is a sociology term that refers to that dramatic moment when something unique becomes common. ...

Without the presumption that utility is quantified, the diminishing of utility should not be taken to be itself an arithmetic subtraction. It is the movement from use of higher to lower priority, and may be no more than a purely ordinal change.^[7][3] Elementary arithmetic is the most basic kind of mathematics: it concerns the operations of addition, subtraction, multiplication, and division. ... 5 - 2 = 3 (verbally, five minus two equals three) An example problem Subtraction is one of the four basic arithmetic operations; it is the inverse of addition. ... In set theory, ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them. ...

When quantification of utility is assumed, diminishing marginal utility corresponds to a utility function whose slope is continually or continuously decreasing. In the latter case, if the function is also smooth, then the “law” may be expressed This article is about the mathematical term. ...

Neoclassical economics usually supplements or supplants discussion of marginal utility with indifference curves, which were originally derived as the level curves of utility functions,^[8] or can be produced without presumption of quantification,^[3] but are often simply treated as axiomatic. Diminishing marginal utility implies convexity of indifference curves^[8][3] (though such convexity would also follow from quasiconcavity of the utility function). An indifference curve is a graph showing different bundles of goods, each measured as to quantity, to which a consumer is That is, at each point on the curve, the consumer has no preference for one bundle over another, as they render the same level of satisfaction (utility) for the... In mathematics, a level set of a real-valued function f of n variables is a set of the form { (x1,...,xn) | f(x1,...,xn) = c } where c is a constant. ... Look up convex in Wiktionary, the free dictionary. ...

Marginal rate of substitution

Main article: Marginal rate of substitution

The rate of substitution is the least favorable rate at which an agent is willing to exchange units of one good or service for units of another. The marginal rate of substitution (“MRS”) is the rate of substitution at the margin — in other words, given some constraint(s). In economics, the marginal rate of substitution (MRS for short) is the rate at which consumers are willing to give up units of one good in exchange for more units of another good. ...

When goods and services are discrete, the least favorable rate at which an agent would trade A for B will usually be different from that at which she would trade B for A: Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. ...

But, when the goods and services are continuously divisible, in the limiting case

and the marginal rate of substitution is the slope of the indifference curve (multiplied by -1). An indifference curve is a graph showing different bundles of goods, each measured as to quantity, to which a consumer is That is, at each point on the curve, the consumer has no preference for one bundle over another, as they render the same level of satisfaction (utility) for the...

If, for example, Lisa will not trade a goat for anything less than two sheep, then her

And if she will not trade a sheep for anything less than two goats, then her

But if she would trade one gram of banana for one ounce of ice cream and vice versa, then

When indifference curves (which are essentially graphs of instantaneous rates of substitution) and the convexity of those curves are not taken as given, the “law” of diminishing marginal utility is invoked to explain diminishing marginal rates of substitution — a willingness to accept fewer units of good or service A in substitution for B as one's holdings of A grow relative to those of B. If an individual has a stock or flow of a good or service whose marginal utility is less than would be that of some other good or service for which he or she could trade, then it is in his or her interest to effect that trade. Of course, as one thing is traded-away and another is acquired, the respective marginal gains or losses from further trades are now changed. On the assumption that the marginal utility of one is diminishing, and the other is not increasing, all else being equal, an individual will demand an increasing ratio of that which is acquired to that which is sacrificed. If any trader can better his or her own marginal position by offering a trade more favorable to complementary traders, then he or she will do so.

Marginal cost

Main article: Marginal cost

At the highest level of generality, a marginal cost is a marginal opportunity cost. In most contexts, however, “marginal cost” will refer to marginal pecuniary cost — that is to say marginal cost measured by forgone money. In economics and finance, marginal cost is the change in total cost that arises when the quantity produced changes by one unit. ... Opportunity cost is a central concept of microeconomics. ... For other uses, see Money (disambiguation). ...

A thorough-going marginalism sees marginal cost as increasing under the “law” of diminishing marginal utility, because applying resources to one application reduces their availability to other applications. Neoclassical economics tends to disregard this argument, but to see marginal costs as increasing in consequence of diminishing returns. In economics, diminishing returns is the short form of diminishing marginal returns. ...

Application to price theory

Marginalism and neoclassical economics generally explain price formation broadly through the interaction of curves or schedules of supply and demand. The supply and demand model describes how prices vary as a result of a balance between product availability at each price (supply) and the desires of those with purchasing power at each price (demand). ...

Demand

Demand curves are explained by marginalism in terms of marginal rates of substitution.

At any given price, a prospective buyer has some marginal rate of substitution of money for the good or service in question. Given the “law” of diminishing marginal utility, or otherwise given convex indifference curves, the rates are such that the willingness to forgo money for the good or service decreases as the buyer would have ever more of the good or service and ever less money. Hence, any given buyer has a demand schedule that generally decreases in response to price (at least until quantity demanded reaches zero). The aggregate quantity demanded by all buyers is, at any given price, just the sum of the quantities demanded by individual buyers, so it too decreases as price increases.

Supply

Both neoclassical economics and thorough-going marginalism could be said to explain supply curves in terms of marginal cost; however, there are marked differences in conceptions of that cost.

Marginalists in the tradition of Marshall and neoclassical economists tend to represent the supply curve for any producer as a curve of marginal pecuniary costs objectively determined by physical processes, with an upward slope determined by diminishing returns. Alfred Marshall Alfred Marshall (July 26, 1842–July 13, 1924), born in Bermondsey, London, England, became one of the most influential economists of his time. ... In economics, diminishing returns is the short form of diminishing marginal returns. ...

A more thorough-going marginalism represents the supply curve as a complementary demand curve — where the demand is for money and the purchase is made with a good or service. The shape of that curve is then determined by marginal rates of substitution of money for that good or service.

Markets

By confining itself to limiting cases in which sellers or buyers are both “price takers” — so that demand functions ignore supply functions or vice versa — Marshallian marginalists and neoclassical economists produced tractable models of “pure” or “perfect” competition and of various forms of “imperfect” competition, which models are usually captured by relatively simple graphs. Other marginalists have sought to present more realistic explanations,^[9][10] but this work has been relatively uninfluential on the mainstream of economic thought. Perfect competition is an economic model that describes a hypothetical market form in which no producer or consumer has the market power to influence prices. ... In economic theory, imperfect competition, is the competitive situation in any market where the conditions necessary for perfect competition are not satisfied. ...

In any case buyers are modelled as pursuing generally lower quantities, and sellers offering generally higher quantities, as price is increased, with each being willing to trade until the marginal value of what they would trade-away exceeds that of the thing for which they would trade.

The paradox of water and diamonds

Main article: Paradox of value

The “law” of diminishing marginal utility is said to explain the “paradox of water and diamonds”, most commonly associated with Adam Smith^[11] (though recognized by earlier thinkers).^[12] Human beings cannot even survive without water, whereas diamonds were in Smith's day mere ornamentation or engraving bits. Yet water had a very small price, and diamonds a very large price, by any normal measure. Marginalists explained that it is the marginal usefulness of any given quantity that matters, rather than the usefulness of a class or of a totality. For most people, water was sufficiently abundant that the loss or gain of a gallon would withdraw or add only some very minor use if any; whereas diamonds were in much more restricted supply, so that the lost or gained use were much greater. The paradox of value (also known as the diamond-water paradox) is the apparent contradiction, or paradox, that although water is on the whole more useful, in terms of survival, than diamonds, diamonds command a higher price in the market. ... For other persons named Adam Smith, see Adam Smith (disambiguation). ...

That is not to say that the price of any good or service is simply a function of the marginal utility that it has for any one individual nor for some ostensibly typical individual. Rather, individuals are willing to trade based upon the respective marginal utilities of the goods that they have or desire (with these marginal utilities being distinct for each potential trader), and prices thus develop constrained by these marginal utilities.

The “law” is not about geology or cosmology, so does not tell us such things as why diamonds are naturally less abundant on the earth than is water, but helps us to understand how relative abundance affects the value imputed to a given diamond and the price of diamonds in a market. This article includes a list of works cited but its sources remain unclear because it lacks in-text citations. ... Cosmology, from the Greek: κοσμολογία (cosmologia, κόσμος (cosmos) order + λογος (logos) word, reason, plan) is the quantitative (usually mathematical) study of the Universe in its totality, and by extension, humanitys place in it. ...

Criticism

Many critics of marginalism would reply that the reason that diamonds are more expensive than water is not because of their relative natural abundance but because of their cost of production. The reason water is available abundantly and diamonds in relatively smaller quantities is because one is inexpensive to produce and one very expensive. Critics claim that thus the reason water is cheaper than diamonds is simply because it costs less to produce. If diamonds could be produced cheaply from carbon, as modern technology may make possible in the short term, then the price of diamonds will fall, even though the demand for their use has not altered. Therefore, as these critics would claim, it is the cost of production which determines price, not the marginal utility.

Marginalists simply respond that if this were true then, rather than our seeing some goods and services not produced because their costs exceeded their prices, consumers would make a practice of seeking expensive wares without regard to their use. (As proto-marginalist Richard Whately put it, “It is not that pearls fetch a high price because men have dived for them; but on the contrary, men dive for them because they fetch a high price.”^[13]) Marginalists explain that costs of production may be what limit supply, but that these costs of production are themselves sacrificed marginal uses, and will not be borne when they are expected to exceed the marginal use of what is produced. In other words, the marginalist certainly does not explain price as a simple function of the marginal utility of a single good for one person or for some “average” person, but nonetheless insists that it results from the trade-offs that each participant would be willing to make for the various goods and services at stake, with those trade-offs being determined by marginal uses. The critics who believe that costs of production determine price, by assuming a demand that will bear the cost, have begged the essential question that the marginalists purport to answer. Richard Whately Richard Whately (1 February 1787 – 8 October 1863), English logician and theological writer, archbishop of Dublin, was born in London. ...

History

Please help improve this section by expanding it. Further information might be found on the talk page or at requests for expansion.

Image File history File links This is a lossless scalable vector image. ...

Proto-marginalist approaches

A great variety of economists concluded that there was some sort of inter-relationship between utility and rarity that effected economic decisions, and in turn informed the determination of prices.^[14]

Marginalists before the Revolution

The first published statement of any sort of theory of marginal utility was by Daniel Bernoulli, in “Specimen theoriae novae de mensura sortis”.^[15] This paper appeared in 1738, but a draft had been written in 1731 or in 1732.^[16][17] In 1728, Gabriel Cramer produced fundamentally the same theory in a private letter.^[18] Each had sought to resolve the St. Petersburg paradox, and had concluded that the marginal desirability of money decreased as it was accumulated, more specifically such that the desirability of a sum were the natural logarithm (Bernoulli) or square root (Cramer) thereof. However, the more general implications of this hypothesis were not explicated, and the work fell into obscurity. Daniel Bernoulli Daniel Bernoulli (February 8, 1700 – March 17, 1782) was a Dutch-born mathematician who spent much of his life in Basel, Switzerland where he died. ... Gabriel Cramer Gabriel Cramer (July 31, 1704 - January 4, 1752) was a Swiss mathematician, born in Geneva. ... In probability theory and decision theory the St. ... The natural logarithm, formerly known as the hyperbolic logarithm, is the logarithm to the base e, where e is an irrational constant approximately equal to 2. ... In mathematics, a square root (√) of a number x is a number r such that , or in words, a number r whose square (the result of multiplying the number by itself) is x. ...

In “A Lecture on the Notion of Value”, delivered in 1833 and included in Lectures on Population, Value, Poor Laws and Rent (1837), William Forster Lloyd explicitly offered a general marginal utility theory, but did not offer its derivation nor elaborate its implications. The importance of his statement seems to have been lost on everyone (including Lloyd) until the early 20th century, by which time others had independently developed and popularized the same insight.^[19] William Forster Lloyd was Drummond Professor at Oxford and a Fellow of the Royal Society. ...

In An Outline of the Science of Political Economy (1836), Nassau William Senior asserted that marginal utilities were the ultimate determinant of demand, yet apparently did not pursue implications, though some interpret his work as indeed doing just that.^[20] Nassau William Senior (September 26, 1790 - June 4, 1864), English economist, was born at Compton, Berkshire, the eldest son of the Rev. ...

In 1854, Hermann Heinrich Gossen published Die Entwicklung der Gesetze des menschlichen Verkehrs und der daraus fließenden Regeln für menschliches Handeln, which presented a marginal utility theory and to a very large extent worked-out its implications for the behavior of a market economy. However, Gossen's work was not well received in the Germany of his time, most copies were destroyed unsold, and he was virtually forgotten until rediscovered after the so-called Marginal Revolution. Hermann Heinrich Gossen (7 September 1810 in Düren – 13 February 1858 in Cologne) was a Prussian economist. ...

The Marginal Revolution

Marginalism eventually found a foot-hold by way of the work of three economists, Jevons in England, Menger in Austria, and Walras in Switzerland. [William Stanley Jevons] William Stanley Jevons (September 1, 1835 - August 13, 1882), English economist and logician, was born in Liverpool. ... Austrian School economist Carl Menger Carl Menger Carl Menger (February 28, 1840 – February 26, 1921) was the founder of the Austrian School of economics. ... Marie-Ésprit-Léon Walras (December 16, 1834 in Évreux, France - January 5, 1910 in Clarens, near Montreux, Switzerland) was a French economist, considered by Joseph Schumpeter as the greatest of all economists. He was a mathematical economist associated with the creation of the general equilibrium theory. ...

William Stanley Jevons first proposed the theory in “A General Mathematical Theory of Political Economy” (PDF), a little-noticed paper delivered in 1862 and published in 1863. He later presented the theory in The Theory of Political Economy (1871), which was fairly widely read but not much appreciated. Jevons' conception of utility was that in the hedonic tradition of Jeremy Bentham and of John Stuart Mill, and Jevons explained demand but not supply by reference to marginal utility. [William Stanley Jevons] William Stanley Jevons (September 1, 1835 - August 13, 1882), English economist and logician, was born in Liverpool. ... This article discusses utilitarian ethical theory. ... Jeremy Bentham (IPA: ) (26 February [O.S. 15 February 15] 1748) – June 6, 1832) was an English jurist, philosopher, and legal and social reformer. ... John Stuart Mill (20 May 1806 – 8 May 1873), British philosopher, political economist, civil servant and Member of Parliament, was an influential liberal thinker of the 19th century. ...

Carl Menger presented the theory in Grundsätze der Volkswirtschaftslehre (translated as Principles of Economics) in 1871. Menger's presentation is peculiarly notable on two points. First, he took special pains to explain why individuals should be expected to rank possible uses and then to use marginal utility to decide amongst trade-offs. (For this reason, Menger and his followers are sometimes called “the Psychological School”, though they are more frequently known as “the Austrian School” or as “the Vienna School”.) Second, while his illustrative examples present utility as quantified, his essential assumptions do not.^[7] Menger's work found a significant and appreciative audience. Austrian School economist Carl Menger Carl Menger Carl Menger (February 28, 1840 – February 26, 1921) was the founder of the Austrian School of economics. ... The Austrian School, also known as the “Vienna School” or the “Psychological School”, is a heterodox school of economic thought that advocates adherence to strict methodological individualism. ...

Marie-Esprit-Léon Walras introduced the theory in Éléments d'économie politique pure, the first part of which was published in 1874. Walras's work found relatively few readers. Marie-Ésprit-Léon Walras (December 16, 1834 in Évreux, France - January 5, 1910 in Clarens, near Montreux, Switzerland) was a French economist, considered by Joseph Schumpeter as the greatest of all economists. He was a mathematical economist associated with the creation of the general equilibrium theory. ...

(An American, John Bates Clark, is sometimes also mentioned in this context. But, while Clark independently arrived at a marginal utility theory, he did little to advance it until it was clear that the followers of Jevons, Menger, and Walras were revolutionizing economics. Nonetheless, his contributions thereafter were profound.) John Bates Clark John Bates Clark (26 January 1847 – 21 March 1938) was an American neo-classical economist. ...

The second generation

Although the Marginal Revolution flowed from the work of Jevons, Menger, and Walras, their work might have failed to enter the mainstream were it not for a second generation of economists. In England, the second generation were exemplified by Philip Henry Wicksteed, by William Smart, and by Alfred Marshall; in Austria by Eugen von Böhm-Bawerk and by Friedrich von Wieser; in Switzerland by Vilfredo Pareto; and in America by Herbert Joseph Davenport and by Frank A. Fetter. Philip Wicksteed (October 25, 1844 - March 18, 1927) was an English economist closely associated with the Austrian School. ... William Smart (10 April 1853 – 19 March 1915) was a British economist. ... Alfred Marshall Alfred Marshall (July 26, 1842–July 13, 1924), born in Bermondsey, London, England, became one of the most influential economists of his time. ... Eugen von Böhm-Bawerk Eugen von Böhm-Bawerk (February 12, 1851 – August 27, 1914) made important contributions to the development of Austrian economics. ... Friedrich von Wieser Friedrich von Wieser (July 10, 1851 - July 22, 1926) was an early member of the Austrian School of economics. ... Vilfredo Pareto Vilfredo Federico Damaso Pareto [vilfre:do pare:to] (July 15, 1848, Paris – August 19, 1923, Geneva) was a French-Italian sociologist, economist and philosopher. ... Herbert Joseph Davenport (1861-1931) was an American economist. ... Frank A. Fetter Frank Albert Fetter (8 March 1863–1949) was an American economist of the Austrian School. ...

There were significant, distinguishing features amongst the approaches of Jevons, Menger, and Walras, but the second generation did not maintain distinctions along national or linguistic lines. The work of von Wieser was heavily influenced by that of Walras. Wicksteed was heavily influenced by Menger. Fetter referred to himself and Davenport as part of “the American Psychological School”, named in imitation of the Austrian “Psychological School”. (And Clark's work from this period onward similarly shows heavy influence by Menger.) William Smart began as a conveyor of Austrian School theory to English-language readers, though he fell increasingly under the influence of Marshall.^[21]

Böhm-Bawerk was perhaps the most able expositor of Menger's conception.^[22][21] He was further noted for producing a theory of interest and of profit in equilibrium based upon the interaction of diminishing marginal utility with diminishing marginal productivity of time and with time preference.^[6] (This theory was adopted in full and then further developed by Knut Wicksell^[23] and, with modifications including formal disregard for time-preference, by Wicksell's American rival Irving Fisher.^[24]) In economics, the marginal product or marginal physical product of an input to production during a specific time period is as follows, assuming that no other inputs to production change: marginal product of X used in producing Y = ΔY/ΔX = (the change of Y)/(the change of X). ... Time preference is the economists assumption that a consumer will place a premium on enjoyment nearer in time over more remote enjoyment. ... Knut Wicksell, Swedish economist Johan Gustaf Knut Wicksell, (December 20, 1851 Stockholm -May 3, 1926 Stocksund ) was a Swedish economist. ... Irving Fisher, 1927. ...

Marshall was the second-generation marginalist whose work on marginal utility came most to inform the mainstream of neoclassical economics, especially by way of his Principles of Economics, the first volume of which was published in 1890. Marshall constructed the demand curve with the aid of assumptions that utility was quantified, and that the marginal utility of money was constant (or nearly so). Like Jevons, Marshall did not see an explanation for supply in the theory of marginal utility, so he synthesized an explanation of demand thus explained with supply explained in a more classical manner, determined by costs which were taken to be objectively determined. (Marshall later actively mischaracterized the criticism that these costs were themselves ultimately determined by marginal utilities.^[25]) Classical economics is widely regarded as the first modern school of economic thought. ...

The Marginal Revolution and Marxism

The doctrines of marginalism and the Marginal Revolution are often interpreted as somehow a response to Marxist economics.^[26] In fact, the first volume of Das Kapital was not published until 1867, after the works of Jevons, Menger, and Walras were written or well under way; and Marx was still a relatively obscure figure when these works were completed. (On the other hand, Hayek or Bartley has suggested that Marx may have come across the works of one or more of these figures, and that his inability to formulate a viable critique may account for his failure to complete any further volumes of Kapital.^[27]) Marxism is both the theory and the political practice (that is, the praxis) derived from the work of Karl Marx and Friedrich Engels. ... Das Kapital (Capital, in the English translation) is an extensive treatise on political economy written by Karl Marx in German. ... Karl Heinrich Marx (May 5, 1818 – March 14, 1883) was a 19th century philosopher, political economist, and revolutionary. ... Friedrich August von Hayek, CH (May 8, 1899 in Vienna – March 23, 1992 in Freiburg) was an Austrian-born British economist and political philosopher known for his defense of liberal democracy and free-market capitalism against socialist and collectivist thought in the mid-20th century. ... William Warren Bartley, III (1934-1990) was an American philosopher. ...

Nonetheless, it is not unreasonable to suggest that part of what contributed to the success of the generation who followed the preceptors of the Revolution was their ability to formulate straight-forward responses to Marxist economic theory.^[26] The most famous of these was that of Böhm-Bawerk, “Zum Abschluss des Marxschen Systems” (1896),^[28] but the first was Wicksteed's “The Marxian Theory of Value. Das Kapital: a criticism” (1884,^[29] followed by “The Jevonian criticism of Marx: a rejoinder” in 1885^[30]). The most famous early Marxist responses were Rudolf Hilferding's Böhm-Bawerks Marx-Kritik (1904)^[31] and Политической экономии рантье (The Economic Theory of the Leisure Class)(1914) by Никола́й Ива́нович Буха́рин (Nikolai Bukharin).^[32] Rudolf Hilferding (1877 - 1941) was an Austrian Marxist economist and a popularizer of the economic reading of Karl Marx. ... Nikolai Bukharin Nikolai Ivanovich Bukharin (Russian: ), (October 9 [O.S. September 27] 1888 â€“ March 15, 1938) was a Bolshevik revolutionary and intellectual, and later a Soviet politician. ...

(It might also be noted that some followers of Henry George similarly consider marginalism and neoclassical economics a reaction to Progress and Poverty, which was published in 1879.^[33]) Henry George Henry George (September 2, 1839 – October 29, 1897) was an American political economist and the most influential proponent of the Single Tax on land. ... Progress and Poverty was written by Henry George in 1879. ...

Eclipse

In his 1881 work Mathematical Psychics, Francis Ysidro Edgeworth presented the indifference curve, deriving its properties from marginalist theory which assumed utility to be a differentiable function of quantified goods and services. But it came to be seen that indifference curves could be considered as somehow given, without bothering with notions of utility. Edgeworth Francis Ysidro Edgeworth (né Ysidro Francis Edgeworth, February 8, 1845 - February 13, 1926) was an Irish polymath who studied at Trinity College, Dublin before obtaining a scholarship to Balliol College, Oxford where he subsequently became a professor. ... An indifference curve is a graph showing different bundles of goods, each measured as to quantity, to which a consumer is That is, at each point on the curve, the consumer has no preference for one bundle over another, as they render the same level of satisfaction (utility) for the...

In 1915, Евгений Евгениевич Слуцкий (Eugen Slutsky) derived a theory of consumer choice solely from properties of indifference curves.^[34] Because of the World War, the Bolshevik Revolution, and his own subsequent loss of interest, Slutsky's work drew almost no notice, but similar work in 1934 by John Richard Hicks and R. G. D. Allen^[35] derived much the same results and found a significant audience. (Allen subsequently drew attention to Slutksy's earlier accomplishment.) Eugen E. Slutsky (Ukr: Євген Євгенович Слуцький) (April 7, 1880, Ukraine - March 10, 1948) was an early-twentieth-century Ukrainian-Russian/Soviet mathematical statistician, economist and political economist. ... “The Great War ” redirects here. ... For other uses, see October Revolution (disambiguation). ... For other persons named John Hicks, see John Hicks (disambiguation). ... Sir Roy George Douglas Allen, CBE, FBA (1906 - 1983) was a British economist and mathematician. ...

Although some of the third generation of Austrian School economists had by 1911 rejected the quantification of utility while continuing to think in terms of marginal utility,^[36] most economists presumed that utility must be a sort of quantity. Indifference curve analysis seemed to represent a way of dispensing with presumptions of quantification, albeït that a seemingly arbitrary assumption (admitted by Hicks to be a “rabbit out of a hat”^[37]) about decreasing marginal rates of substitution^[38] would then have to be introduced to have convexity of indifference curves.

For those who accepted that superseded marginal utility analysis had been superseded by indifference curve analysis, the former became at best somewhat analogous to the Bohr model of the atom — perhaps pedagogically useful, but “old fashioned” and ultimately incorrect.^[38][39] The Bohr model of the hydrogen atom () or a hydrogen-like ion (), where the negatively charged electron confined to an atomic shell encircles a small positively charged atomic nucleus, and an electron jump between orbits is accompanied by an emitted or absorbed amount of electromagnetic energy . ...

Revival

When Cramer and Bernoulli introduced the notion of diminishing marginal utility, it had been to address a paradox of gambling, rather than the paradox of value. The marginalists of the revolution, however, had been formally concerned with problems in which there was neither risk nor uncertainty. So too with the indifference curve analysis of Slutsky, Hicks, and Allen. In probability theory and decision theory the St. ... The paradox of value (also known as the diamond-water paradox) is the apparent contradiction, or paradox, that although water is on the whole more useful, in terms of survival, than diamonds, diamonds command a higher price in the market. ... For the Parker Brothers board game, see Risk (game) For other uses, see Risk (disambiguation). ... “Uncertain” redirects here. ...

The expected utility hypothesis of Bernoulli et alii was revived by various 20th century thinkers, perhaps most notably Ramsey (1926),^[40] v. Neumann and Morgenstern (1944),^[41] and Savage (1954).^[42] Although this hypothesis remains controversial, it brings not merely utility but a quantified conception thereof back into the mainstream of economic thought, and would dispatch the Ockhamistic argument.^[39] (It should perhaps be noted that, in expected utility analysis, the “law” of diminishing marginal utility corresponds to what is called “risk aversion”.) It has been suggested that Neumann-Morgenstern utility be merged into this article or section. ... Frank Plumpton Ramsey (February 22, 1903 – January 19, 1930) was a British mathematician who, in addition to mathematics, made significant contributions in philosophy and economics. ... For other persons named John Neumann, see John Neumann (disambiguation). ... Oskar Morgenstern (January 24, 1902 - July 26, 1977) was an German- American economist who, working with John von Neumann, helped found the mathematical field of game theory. ... Leonard Jimmie Savage (20 November 1917 - 1 November 1971) was a US mathematician and statistician. ... For the House television show episode, see Occams Razor (House episode). ... Risk aversion is a concept in economics and finance theory explaining the behaviour of consumers and investors under uncertainty. ...

Meanwhile, the Austrian School continues to develop its ordinalist notions of marginal utility analysis, formally demonstrating that from them proceed the decreasing marginal rates of substitution of indifference curves.^[3]

Criticisms of marginalism

Marginalism has been criticised for being extremely abstract, as “unobservable, unmeasurable and untestable”.^[43] Marginal utility is subjective, as the value of an additional unit of consumption is based on the individual's circumstances. However, margins (constraints) are often observable, as are patterns of choice; hence the general form of marginalism is in theory observable and testable. The special case of quantification of utility is more problematic, but the expected utility hypothesis represents a testable version of the theory with quantification. (Nonetheless, though confirmation of the expected utility hypothesis might have confirm quantification, the specific measure would not thus be found, as data that were fit by any proposed measure would be equally well fit by any affine transformation of that proposed measure.) It has been suggested that Neumann-Morgenstern utility be merged into this article or section. ... It has been suggested that Neumann-Morgenstern utility be merged into this article or section. ... In geometry, an affine transformation or affine map (from the Latin, affinis, connected with) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation: In the finite-dimensional case each affine transformation is given by a matrix A and a vector b...

However, observed patterns of choice in test situations often seem not to correspond to an ordering, and the expected utility hypothesis has been falsified as description. (See the article on behavior economics, and perhaps especially that on the Ellsberg paradox or that on the Allais problem.) Many behavioral economists argue that people often follow simple rules of thumb instead of engaging in a mental process of maximizing some function. The reply from some marginalist and neoclassical economists is that these rules of thumb have been shaped by experience so that they give very nearly the same result as maximizing and that, moreover, use of rules of thumb is itself an act of optimization insofar as the decision-making process itself entails direct costs. Nobel Prize in Economics winner Daniel Kahneman, was an important figure in the development of behavioral finance and economics and continues to write extensively in the field. ... The Ellsberg paradox is a paradox in decision theory and experimental economics in which peoples choices violate the expected utility hypothesis. ... The Allais paradox, more neutrally described as the Allais problem, is a choice problem designed by Maurice Allais to show an inconsistency of actual observed choices with the predictions of expected utility theory. ... A rule of thumb is an easily learned and easily applied procedure for approximately calculating or recalling some value, or for making some determination. ...

The theory is attacked for downplaying the rôle of cost of production in price determination in favor of a focus on individual's tastes and preferences. In its most extreme Austrian School version, marginalism denies that a purely objective, cost-based component exists at all. Rather, the Austrian School argues that costs of production pervasively involve individual preferences for labor vs. leisure and saving vs. consumption. Economics (from the Greek οίκος [oikos], house, and νομος [nomos], rule, hence household management) is a social science that studies the production, distribution, trade and consumption of goods and services. ... The Austrian School, also known as the “Vienna School” or the “Psychological School”, is a heterodox school of economic thought that advocates adherence to strict methodological individualism. ...

Marxist attacks on marginalism

Main article: Marxism

Karl Marx died before marginalism became the accepted interpretation of economic value. His theory was based on the labor theory of value, which distinguishes between exchange value and use value. In his Capital he rejected the explanation of long-term market values by supply and demand: Marxism is both the theory and the political practice (that is, the praxis) derived from the work of Karl Marx and Friedrich Engels. ... Karl Heinrich Marx (May 5, 1818 – March 14, 1883) was a 19th century philosopher, political economist, and revolutionary. ... The labor theories of value (LTV) are theories in economics according to which the true values of commodities are related to the labor needed to produce them. ... In Marxian political economy, exchange value refers to one of three major aspects of a commodity, i. ... In Marxian political economy, any commodity, i. ...

Nothing is easier than to realize the inconsistencies of demand and supply, and the resulting deviation of market-prices from market-values. The real difficulty consists in determining what is meant by the equation of supply and demand.

[...]

If supply equals demand, they cease to act, and for this very reason commodities are sold at their market-values. Whenever two forces operate equally in opposite directions, they balance one another, exert no outside influence, and any phenomena taking place in these circumstances must be explained by causes other than the effect of these two forces. If supply and demand balance one another, they cease to explain anything, do not affect market-values, and therefore leave us so much more in the dark about the reasons why the market-value is expressed in just this sum of money and no other.^[44]

In his early response to marginalism, Nikolai Bukharin argued that "the subjective evaluation from which price is to be derived really starts from this price",^[45] concluding: Nikolai Bukharin Nikolai Ivanovich Bukharin (Russian: ), (October 9 [O.S. September 27] 1888 â€“ March 15, 1938) was a Bolshevik revolutionary and intellectual, and later a Soviet politician. ...

Whenever the Böhm-Bawerk theory, it appears, resorts to individual motives as a basis for the derivation of social phenomena, he is actually smuggling in the social content in a more or less disguised form in advance, so that the entire construction becomes a vicious circle, a continuous logical fallacy, a fallacy that can serve only specious ends, and demonstrating in reality nothing more than the complete barrenness of modern bourgeois theory.^[46]

Similarly a later Marxist critic, Ernest Mandel, argued that marginalism was "divorced from reality", ignored the rôle of production, and that: Ernest Mandel Ernest Ezra Mandel, also known by various pseudonyms such as Ernest Germain, Pierre Gousset, Henri Vallin, Walter etc. ...

It is, moreover, unable to explain how, from the clash of millions of different individual "needs" there emerge not only uniform prices, but prices which remain stable over long periods, even under perfect conditions of free competition. Rather than an explanation of constants, and of the basic evolution of economic life, the "marginal" technique provides at best an explanation of ephemeral, short-term variations.^[47]

Maurice Dobb argued that prices derived through marginalism depend on the distribution of income. The ability of consumers to express their preferences is dependent on their spending power. As the theory asserts that prices arise in the act of exchange, Dobb argues that it cannot explain how the distribution of income affects prices and consequently cannot explain prices.^[48] Maurice Herbert Dobb (September 3, 1900 - 1976), economist, Lecturer 1924-1959 and Reader 1959-1976 at Cambridge University; Fellow of Trinity College, Cambridge 1948-76. ...

Dobb also criticized the motives behind marginal utility theory. Jevons wrote, for example, "so far as is consistent with the inequality of wealth in every community, all commodities are distributed by exchange so as to produce the maximum social benefit." (See Fundamental theorems of welfare economics.) Dobb contended that this statement indicated that marginalism is intended to insulate market economics from criticism by making prices the natural result of the given income distribution.^[48] There exists two fundamental theorems of welfare economics. ...

Marxist adaptations to marginalism

Some economists strongly influenced by the Marxian tradition such as Oskar Lange, Włodzimierz Brus, and Michal Kalecki have attempted to integrate the insights of classical political economy, marginalism, and neoclassical economics. They believed that Marx lacked a sophisticated theory of prices, and neoclassical economics lacked a theory of the social frameworks of economic activity. Some other Marxists have also argued that on one level there is no conflict between marginalism and Marxism: one could employ a marginalist theory of supply and demand within the context of a “big picture” understanding of the Marxist notion that capitalists exploit labor.^{[citation needed]} Marxian economics refers to a body of economic thought stemming from the work of Karl Marx. ... MichaÅ‚ Kalecki (22nd June 1899-18 April 1970) was one of the greatest Polish economist. ... The Politics series Politics Portal This box:      Political economy was the original term for the study of production, the acts of buying and selling, and their relationships to laws, customs and government. ... Neoclassical economics refers to a general approach (a metatheory) to economics based on supply and demand which depends on individuals (or any economic agent) operating rationally, each seeking to maximize their individual utility or profit by making choices based on available information. ...

External links

• Rhoads, Steven E.; “Marginalism”, Concise Encyclopedia of Economics. Liberty Fund, Inc. Ed. David R. Henderson. Library of Economics and Liberty, 17 July 2007.
• various; Excerpts from Austrian Economists on the Subjective theory of value
• McAfee, R. Preston; Introduction to Economic Analysis.

References