An all-powerful hu: The eighteen perfects plus the four great blessings.

Scoring in Mahjong, a gambling game for four players that originated in China, involves points, with a monetary value for points agreed upon by players. Although in many variations scoreless hands (皮胡 pi hu, sometimes 雞胡 ji hu) are possible, many require that hands be of some point value in order to win the round. Image File history File links Download high resolution version (960x536, 281 KB) This is a screenshot of a copyrighted movie or television program. ... Image File history File links Download high resolution version (960x536, 281 KB) This is a screenshot of a copyrighted movie or television program. ... Mahjong (Chinese: 麻将 (Mandarin májiàng; Cantonese màhjeung) or 麻雀 Mandarin máquè, Cantonese màhjeuk); other common English spellings include mahjongg, majiang, and hyphenated forms such as mah-jong or mah-jongg) is a game for four players that originated in China. ... Gambling has had many different meanings depending on the cultural and historical context in which it is used. ... A game is an (often, but not always recreational) activity involving one or more players. ...

While the basic gameplay is more or less the same throughout mahjong, the greatest divergence between variations lies in the scoring systems. Like the gameplay, there is a generalized system of scoring, based on the method of winning and the winning hand, from which Chinese and Japanese (among notable systems) base their roots. American mahjong generally has greatly divergent scoring rules (as well as greatly divergent gameplay rules).

Because of the large differences between the various systems of scoring (especially for Chinese variants), groups of players will often agree on particular scoring rules before a game. Like with gameplay, many attempts have been made to create an international standard of scoring, but most are not widely accepted. In this article, the general mechanics of scoring and the specific mechanics of the Hong Kong and the Singapore styles will be covered in detail.

Criteria

When gambling with mahjong, scores are typically directly translated into sums of money. Poker chips are used in transaction throughout the playout.

In Singapore scoring, scores may be paid out immediately when performed. That is, a player may earn points during the game that are kept regardless of whether the hand is won or lost.

Points are obtained by matching the winning hand and the winning condition with a specific set of criteria, with different criteria scoring different values. Some of these criteria may be subsets of other criteria (for example, having a meld of one dragon versus having a meld of all of them), and in these cases, only the criteria with the tighter requirements is scored. The points obtained may be translated into scores for each player using some (typically exponential) function. When gambling with mahjong, these scores are typically directly translated into sums of money. Some criteria may also be in terms of both points and score. Image File history File links Download high resolution version (960x536, 258 KB)Playing Mahjong. ... Image File history File links Download high resolution version (960x536, 258 KB)Playing Mahjong. ... Casino poker chips are special tokens representing money. ... Image File history File links Download high resolution version (960x536, 185 KB)Playing Mahjong. ... Image File history File links Download high resolution version (960x536, 185 KB)Playing Mahjong. ... Chinese dragon, colour engraving on wood, Japanese Chinese school, 19th Century A dragon is a mythological creature, typically depicted as a large and powerful serpent or other reptile, with magical or spiritual qualities. ... The term exponential may refer to any of several topics in mathematics: Exponential distribution Exponential function Exponential growth, exponential decay Exponential time Matrix exponential Exponential map (in differential geometry) All relate in some fashion to exponents. ...

The terminology of point differs from variation to variation. A common English term is double, as the point-to-score translation is typically exponential with a base of 2. Chinese variants will use the term 番 (pinyin: fān) while Taiwanese variants will use 台 (pinyin: tāi).

Because points and score relate to two distinct concepts, this article will adopt the use of the term score unit to refer to a point in a player's score.

At the beginning of each game, each player is given a fixed score, usually in the form of scoring chips. In many cases, only the winner scores, with the winner's gain being deducted from the three losers' scores (that is, the losers pay the winner). In many cases, there exist other modifiers to the score. A common set of modifiers (for which this article will call the standard payment variations) include:

• In the case where a player wins by a discard (a player picks off an opponent), the player who performs the discard pays double
• In the case where a player wins by a draw (a player wins by self-pick), every losing player pays double.
• In the case where a player wins from a high-risk scenario (see below), the player who performs the discard pays for the other two losing players (in addition to the normal double share).

It is generally unknown what happens should a player runs out of score units. In some circles, the match is immediately aborted, with the player furthest ahead in score declared the winner, while in others, a player out of scoring chips continues to play without risk of further losses.

Mahjong is sometimes played in a gambling setting. Chips are used for keeping score only. Since Mahjong is a zero-sum game, when one player loses all his chips, his chips are distributed among the other winners. The loser pays cash to buy back the chips from the winners and the game continues. Before the game starts, all players must agree upon how much one set of chips (100 unit) is worth. Some gamblers do away with chips and pay cash after each round depending on local laws regarding legality of gambling.

The criteria mentioned below are by no means exhaustive or common to every variation, but are common to many 13-tile and 16-tile variations.

Scoring rules

Chinese classical scoring

Scoring in the Chinese Classical system, from which the Babcock system is derived, is a "point-and-double" system, where actual score is collected, and doubled based on the number of points (or doubles) a hand earns (thus, the point translation function is an exponential one). At the end of each round, points are tallied up for all individuals (not only the player with the winning hand) and doubled if necessary. Afterwards, each losing player pays the winner the difference in scores. Traditionally, the dealer must pay or receive double such a difference, but many players play with the payment variations listed above.

Many variations of such a scoring system exist: for example, variations exist where losing players may "gain back" lost score from other losing players with smaller point totals. In some variations, only the winner receives doubles, to prevent negative differences (such as when a losing player is aiming for a high scoring hand and the winning hand has a low score).

Hong Kong scoring

Main article: Hong Kong Mahjong scoring rules

The traditional Hong Kong scoring system, or the Cantonese scoring system, is widely considered to be the most popular scoring systems, as scoring tends to be low due to the low amount of criteria used. Hong Kong Mahjong scoring rules are used for scoring in Mahjong, the gambling game of for four players, common in Hong Kong and some areas in Guangdong. ...

The general scoring modifiers apply (see above), with the point translation function being a piecewise function: a constant amount is given for scoreless hands and the score is doubled for each point (i.e., an exponential function). Because zero-point hands are common, players often play with the additional restriction that a winning hand must be of some point value, often anywhere between one and five points, with three being the most common. The term exponential may refer to any of several topics in mathematics: Exponential distribution Exponential function Exponential growth, exponential decay Exponential time Matrix exponential Exponential map (in differential geometry) All relate in some fashion to exponents. ...

Taiwanese scoring

In Taiwanese scoring system, you start off with score of 0. When someone wins, you count up the number of points from then winning hand, and that's how much the player recieves from either the player who tosses out the winning tile, or all three opponents in case of self-drawning winning tile.

Main article: Taiwanese Mahjong scoring rules

Shanghai scoring

Main article: Shanghai Mahjong scoring rules

In contrast, the scoring system used in the Shanghai variant is high, due to the diverse number of scoring criteria and inflated values for rarer hands such as the thirteen terminals. Because of the inflated point values, there is generally a minimum point value in the Shanghai variant.

Singaporean scoring

Main article: Singaporean Mahjong scoring rules

Singaporean scoring is similar to that of the Chinese Classical system, but accounts for the different set of tiles used therein. Again, standard payment variations apply, although variants exist where the dealer must also pay and receive double. Singaporean Mahjong scoring rules are similar to that of the Chinese Classical system, but accounts for the different set of tiles used therein. ...

Japanese scoring

Main article: Japanese Mahjong scoring rules

The Japanese scoring system is the system that is found in many Mahjong video games, many of which cater to male audiences and feature pictures of women in various states of undress after a round is won. In this variation, each player starts with anywhere between 20000 to 30000 score units, which are typically represented by a series of bars resembling elongated Chinese dominoes, in four denominations: 10000, 5000, 10000, and 100. Should a player lose all their score units, the game immediately ends, with the player furthest ahead in points declared the winner. Japanese Mahjong scoring rules are used for scoring in Mahjong, the gambling game of for four players, common in Japan. ... Computer and video games A screenshot of Tetris for the Nintendo Game Boy A console game (better known as a video game) is a form of interactive multimedia used for entertainment, which consists of a moveable image displayed on a screen that is usually controlled and manipulated using a handheld... A set of Chinese dominoes Chinese dominoes are used in several tile-based games, namely, Tien Gow, Pai Gow, Gwat Pai, Che Deng, Tiu U, Kap Tai Shap. ...

American scoring

Main article: American Mahjong scoring rules

When the Babcock version of mahjong was becoming popular in the 1920s with American players, a side effect of the Babcock scoring system was that many players frequently sought after limit hands rather than hands of smaller value. Because of this, the common hands were eventually abandoned, and the only way one could win was to match a hand from a list of hands. Sometimes referred to as the Jazz Age or primarily in North America and in Australia as the Roaring Twenties . In Europe it is sometimes refered to as the Golden Twenties. ...

Today, in the American variations, players use a card that define a small set of hands that are the only valid winning hands, with a point value given for each hand. This system is used by the two major governing bodies of Mahjong in the United States, the National Mah Jongg League and the American Mah-Jongg Association, with new cards that define the valid winning hands released annually.

Typically, each card contains scoring criteria that makes references to the year the scoring cards are released. For example, the 1985 scoring hand will have hands containing "melds" of a one, nine, eight, and five of a certain suit. This article is about the year. ...

Scoring limits

Some variations may impose a scoring limit - a maximum to the number of points for a given hand. In many cases where limits exist, there may be either multiple limits, or ways to obtain multiples of a limit. In many cases where limits exist, the typical point translation function is exponential, where a constant score is assigned to points up to the first limit, and afterwards increases (often doubles) as further limits are reached. The term exponential may refer to any of several topics in mathematics: Exponential distribution Exponential function Exponential growth, exponential decay Exponential time Matrix exponential Exponential map (in differential geometry) All relate in some fashion to exponents. ...

A scoring limit may be more of a gambling incentive: for example, if six and nine points were scoring limits, a seven- or eight-point hand would be worth the same as a six-point hand, which may be an incentive for players to go for nine-point hands.

High-risk discards

Many variations may also impose penalties for discards that are considered to be "high risk" when the size of the wall is winding down. If a player wins from a high-risk discard, the player who discards the winning tile often must suffer an additional scoring penalty. It is interesting to note that the winner is not usually affected by a high-risk discard, and frequently the other two losing players are "off the hook". Typical high-risk scenarios include scenarios where a player is threatening to win with a (necessarily highly exposed) high-point hand.