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To solve a game using iterated elimination of strictly dominated strategies (IESDS), we first identify strategies that are strictly dominated for each player and then eliminate them step by step until no further elimination is possible. Consider a generic two-player game where Player 1 has strategies $A, B, C$ and Player 2 has strategies $X, Y, Z$, and their payoffs are given in a matrix form. The process involves comparing each strategy against the others for the same player and checking if there exists a strategy that always provides a strictly higher payoff regardless of the opponent’s choice. For Player 1, compare strategy $A$ with $B$ and $C$. If $A$ yields lower payoffs than another strategy in every possible scenario of Player 2’s strategies, it is strictly dominated and can be eliminated. Similarly, compare $B$ and $C$. After the first round, one or more strictly dominated strategies may be removed. Once a strategy for Player 1 is eliminated, we reassess Player 2’s strategies, as the reduction in ____ __________ _____ ________ __________.
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