Repeated Games with Bonuses |
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Authors: | G. Schoenmakers J. Flesch F. Thuijsman O. J. Vrieze |
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Affiliation: | (1) Department of Mathematics, Maastricht University, Maastricht, The Netherlands |
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Abstract: | This paper deals with 2-player zero-sum repeated games in which player 1 receives a bonus at stage t if he repeats the action he played at stage t−1. We investigate the optimality of simple strategies for player 1. A simple strategy for player 1 consists of playing the same mixed action at every stage, irrespective of past play. Furthermore, for games in which player 1 has a simple optimal strategy, we characterize the set of stationary optimal strategies for player 2. |
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Keywords: | Noncooperative games Repeated games Stochastic games Optimal strategies |
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