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Date: 5-11-2021
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Date: 2-10-2021
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Date: 3-10-2021
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Let the elements in a payoff matrix be denoted , where the s are player A's strategies and 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 . The best strategy for player A is therefore
(2) |
and the best strategy for player B is
(3) |
In general,
(4) |
Equality holds only if a game saddle point is present, in which case the quantity is called the value of the game.
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