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Price of stability : ウィキペディア英語版
Price of stability

In game theory, the price of stability (PoS) of a game is the ratio between the best objective function value of one of its equilibria and that of an optimal outcome. The PoS is relevant for games in which there is some objective authority that can influence the players a bit, and maybe help them converge to a good Nash equilibrium. When measuring how efficient a Nash equilibrium is in a specific game we often time also talk about the price of anarchy (PoA).
==Examples==
Another way of expressing PoS is:
: \text = \frac },\ \text \geq 0.
In the following prisoner’s dilemma game, since there is a single equilibrium (B, R) we have PoS = PoA = 1/2.
On this example which is a version of the battle of sexes game, there are two equilibrium points, (T, L) and (B, R), with values 3 and 15, respectively. The optimal value is 15. Thus, PoS = 1 while PoA = 1/5.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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