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Encyclopedia > Edgeworth box

In economics, an Edgeworth box, named after Francis Ysidro Edgeworth, is a way of representing various distributions of resources. Buyers bargain for good prices while sellers put forth their best front in Chichicastenango Market, Guatemala. ... Edgeworth // Brief biography Francis Ysidro 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. ... Classical economics distinguishes between three factors of production which are used in the production of goods: Land or natural resources - naturally-occurring goods such as soil and minerals. ...


Imagine two people (Octavio and Abby) with a fixed amount of resources between the two of them — say, 10 liters of water and 20 hamburgers. If Octavio takes 5 hamburgers and 4 liters of water, then Abby is left with 15 hamburgers and 6 liters of water. The Edgeworth box is a rectangular diagram with Octavio's origin on one corner (represented by the O) and Abby's origin on the opposite corner(represented by the A). The width of the box is the total amount of one good, and the height is the total amount of the other good. Thus, every possible division of the goods between the two people can be represented as a point in the box.


In theory, it is possible to draw among these points, indifference curves for both Abby and Octavio representing combinations of the goods that are of equal value, respectively, to Octavio and Abby. For example, Abby might value 1 liter of water and 13 hamburgers the same as 5 liters of water and 4 hamburgers, or 3 liters and 10 hamburgers. There is, of course, an infinity of such curves (assuming water and hamburgers to be infinitely divisible) that could be drawn among the combinations of goods for either consumer (Octavio or Abby). In microeconomics, an indifference curve is a graph showing combinations of two goods to which an economic agent (such as a consumer or firm) is indifferent, that is, it has no preference for one combination over the other. ...


Wherever one of these curves for Abby happens to just touch (but not cross) a curve of Octavio's, a unique combination of the two goods is identified that yields both consumers a maximum value (which consumer realizes the greater value cannot be known, even to the consumers). Such tangential contacts between the infinity of indifference-curve pairs, if plotted, will form a trace connecting Octavio's origin (O) to Abby's (A).

The curve connecting points O and A is often called the contract curve. Edgeworth's original two axis depiction was developed into the now familiar box diagram by Pareto in 1906 and was popularised in a later exposition by Bowley. The modern version of the diagram is commonly referred to as the Edgeworth-Bowley box. Efficiency between production and consumption File links The following pages link to this file: Welfare economics Edgeworth box Categories: GFDL images ... A contract curve is the set of all points in an Edgeworth box that are Pareto efficient. ... Please wikify (format) this article as suggested in the Guide to layout and the Manual of Style. ... 1906 (MCMVI) was a common year starting on Monday (see link for calendar). ... Arthur Lyon Bowley (November 6, 1869 - January 21, 1957) English statistician and economist worked on economic statistics and pioneered the use of sampling techniques in social surveys. ...


See also

Welfare economics is a branch of economics that uses microeconomic techniques to simultaneously determine the allocational efficiency of a macroeconomy and the income distribution consequences associated with it. ... This article may be too technical for most readers to understand. ...

External links


  Results from FactBites:
 
Edgeworth box - Wikipedia, the free encyclopedia (387 words)
In economics, an Edgeworth box, named after Francis Ysidro Edgeworth, is a way of representing various distributions of resources.
The Edgeworth box is a rectangular diagram with Octavio's origin on one corner (represented by the O) and Abby's origin on the opposite corner(represented by the A).
Edgeworth's original two axis depiction was developed into the now familiar box diagram by Pareto in 1906 and was popularised in a later exposition by Bowley.
Francis Ysidro Edgeworth - Wikipedia, the free encyclopedia (887 words)
Edgeworth was a highly influential figure in the development of neo-classical economics.
He is also known for the Edgeworth conjecture which states that the core of an economy shrinks to the set of competitive equilibria as the number of agents in the economy gets large.
Edgeworth's "range of final settlements" was later resurrected by Martin Shubik (1959) as the game-theoretic concept of "the core".
  More results at FactBites »


 

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