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3 Jun Strict Dominance in Pure Strategies. In some games, a player's strategy is superior to all other strategies regardless of what the other players do. This strategy then strictly dominates the other strategies. Consider the. Prisoner's Dilemma game in Fig. 1 (p. 2). Choosing D strictly dominates choosing C. Here is a more difficult example, Figure (c). player 2. L. R. U. 4,1. 0,2 player 1 M 0,0. 4,0. D 1,3. 1,2. For player 1, clearly U and M cannot be dominated, and. D cannot be dominated by any pure strategy. However, the mixed strategy, σ1. = . 1. 2.,. 1. 2.,0) dominates D. To see this, if player 2 selects L, player 1's payoff is. 1. If every player in a game plays his dominant pure strategy (assuming every player has a dominant pure strategy), then the outcome will be a Nash equilibrium. The Prisoners' Dilemma is an excellent example of this. It was reviewed in the introduction, but is worth reviewing again. Here's the game ( remember that in the.
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