Repeated games with bonuses

G. Schoenmakers; J. Flesch; F. Thuijsman; K. Vrieze

doi:10.1007/s10957-007-9318-6

Repeated games with bonuses

G. Schoenmakers^*, J. Flesch, F. Thuijsman, K. Vrieze

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	459-473
Number of pages	15
Journal	Journal of Optimization Theory and Applications
Volume	136
DOIs	https://doi.org/10.1007/s10957-007-9318-6
Publication status	Published - 1 Jan 2008

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title = "Repeated games with bonuses",

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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AU - Thuijsman, F.

AU - Vrieze, K.

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AB - 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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DO - 10.1007/s10957-007-9318-6

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VL - 136

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EP - 473

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

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Repeated games with bonuses

Abstract

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