Prove that if a player in an extensive form game

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1. Prove that if a player in an extensive-form game has only one information set, then his set of mixed strategies equals his set of behavior strategies.

2. Does there exist a two-player zero-sum extensive-form game that has a value in mixed strategies and a value in behavior strategies, but these two values are not equal to each other? Either prove that such a game exists or provide a counterexample.

Reference no: EM131332208

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