“Game Expectation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Game Expectation

释义

Game Expectation

Let the elements in a Payoff Matrix be denoted , where the s are player A's Strategiesand the s are player B's Strategies. Player A can get at least

(1)

for Strategy

. Player B can force player A to get no more than

for a Strategy

. Thebest Strategy for player A is therefore

(2)

and the best Strategy for player B is

(3)

In general,

(4)

Equality holds only if a Saddle Point is present, in which case the quantity is called the Value of the game.

See also Game, Payoff Matrix, Saddle Point (Game), Strategy, Value

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