Repeated games with bonuses

Repeated games with bonuses

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Article ID: iaor20091321
Country: Netherlands
Volume: 136
Issue: 3
Start Page Number: 459
End Page Number: 473
Publication Date: Mar 2008
Journal: Journal of Optimization Theory and Applications
Authors: , , ,
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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