Asymmetric Delay in Evolutionary Games

Hamidou  Tembine; Eitan  Altma; Rachid  El-Azouzi

2nd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Asymmetric Delay in Evolutionary Games

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Cite: BibTeX Plain Text

@INPROCEEDINGS{10.4108/valuetools.2007.1981,
    author={Hamidou  Tembine and Eitan  Altma and Rachid  El-Azouzi},
    title={Asymmetric Delay in Evolutionary Games},
    proceedings={2nd International ICST Conference on Performance Evaluation Methodologies and Tools},
    proceedings_a={VALUETOOLS},
    year={2010},
    month={5},
    keywords={hawk and dove game multiple access game evolutionary stable strategy delay differential equation replicator dynamics.},
    doi={10.4108/valuetools.2007.1981}
}

Hamidou Tembine
Eitan Altma
Rachid El-Azouzi
Year: 2010
Asymmetric Delay in Evolutionary Games
VALUETOOLS
ICST
DOI: 10.4108/valuetools.2007.1981

Hamidou Tembine¹^,*, Eitan Altma²^,*, Rachid El-Azouzi¹^,*

1: LIA-CERI, University of Avignon, 339, chemin des Meinajaries Agroparc B.P. 1228, 84911 Avignon Cedex 9, France
2: INRIA, 2004 Route des Lucioles,B.P.93, 06902 Sophia-Antipolis Cedex, France

*Contact email: hamidou.tembineelazouzi@univ-avignon.fr, eitan.altman@sophia.inria.fr, rachid.elazouzi@univ-avignon.fr

Abstract

We study the effect of the time delays on the convergence of replicator dynamics to the evolutionary stable strategies in a symmetric evolutionary game in which each pure strategy is associated with its own delay. We compare the stability region to that obtained when all strategies have the same delay. Multiple Access Game and Hawk and Dove Game are studied.

Keywords: hawk and dove game multiple access game evolutionary stable strategy delay differential equation replicator dynamics.

Published: 2010-05-16
Modified: 2011-09-14

: http://dx.doi.org/10.4108/valuetools.2007.1981