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To solve a game using iterated elimination of strictly dominated strategies (IESDS), we first need to carefully identify any strategies that are strictly worse than another strategy for a player, regardless of what the other player does. The process involves repeatedly removing strictly dominated strategies until no further eliminations are possible, thereby narrowing down to potential equilibrium strategies. Consider a two-player normal form game where Player 1 chooses among strategies $A, B, C$ and Player 2 chooses among strategies $X, Y, Z$. The payoff matrix is as follows (Player 1’s payoff listed first): | | X | Y | Z | | __________ _____ ___ _____ __________ _______ _______.
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