A Markov Decision Evolutionary Game for the study of a Dynamic Hawk and Dove Problem

Abstract : In this paper we study one of the most well known examples of evolutionary games, the Hawk and Dove problem, in the dynamic framework of Markov Decision Evolutionary Games. We associate with each player an extra individual state depending on the age and on the strength of the individual. This state may change as a function of the actions taken by those it encounters. The goal of a player is to maximize the expected sum of its immediate tness during its life time. We identify a unique stationary equilibrium in the game and compute its value. We further extend the Hawk and Dove game by introducing Group Markov Decision Evolutionary Game Theory (GMDEG), in which a player does not necessarily represent a single interacting individual but a whole class of such individuals. The tness to be maximized is the one of the group: this approach shows novel results on the structure of the equilibria and the non uniqueness of the equilibria.
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[Research Report] 2013
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Soumis le : mercredi 12 juin 2013 - 12:53:10
Dernière modification le : samedi 27 janvier 2018 - 01:31:44
Document(s) archivé(s) le : vendredi 13 septembre 2013 - 05:20:10


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  • HAL Id : hal-00833271, version 1



Eitan Altman, Ilaria Brunetti. A Markov Decision Evolutionary Game for the study of a Dynamic Hawk and Dove Problem. [Research Report] 2013. 〈hal-00833271〉



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