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Is it true that in every finite zero-sum game G, a strategy is rationalizable if and only if it is played with positive probability by some mixed strategy that is optimal in the mixed extension of G?

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What do you mean by "optimal in the mixed extension of G"? –  Michael Greinecker Mar 17 '12 at 19:38
the mixed strategy is optimal in the sense that the players maxminimize. namely, a maxminimizer for player 1 solves the problem max_x min_y u1(x,y) and a maxminimizer for player 2 solves max_y min_x u2(x,y), where x is a strategy of player 1 and y is a strategy of player 2. –  Rigel Mar 17 '12 at 22:27

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