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?
in Zero Sum Games does rationalizability imply positive probability attached in optimal strategy?
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game-theory
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0the 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. – 2012-03-17