Bio-inspired delayed evolutionary game dynamics with networking applications

Hamidou Tembine; Eitan Altman; Rachid El-Azouzi; Yezekael Hayel

doi:10.1007/s11235-010-9307-1

Bio-inspired delayed evolutionary game dynamics with networking applications

Hamidou Tembine, Eitan Altman, Rachid El-Azouzi, Yezekael Hayel

Electrical Engineering

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

Abstract

We study in this paper some evolutionary games where competition between individuals from a large population occurs through many local interactions between randomly selected individuals. We focus on games that have the property of possessing a single interior evolutionarily stable strategy (ESS). We study in particular the effect of the time delays on the convergence of evolutionary dynamics to the ESS in an evolutionary game in which each pure strategy is associated with its own delay. In particular, we study a multiple access game as well as a Hawk and Dove game. We study the properties of the ESS in these games and also the effect of time delays on the convergence of various bio-inspired evolutionary game dynamics to the ESS.

Original language	English (US)
Pages (from-to)	137-152
Number of pages	16
Journal	Telecommunication Systems
Volume	47
Issue number	1-2
DOIs	https://doi.org/10.1007/s11235-010-9307-1
State	Published - Jun 2011

Keywords

Delay differential equation
Evolutionary games
Hawk and Dove game
Slotted Aloha

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1007/s11235-010-9307-1

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title = "Bio-inspired delayed evolutionary game dynamics with networking applications",

abstract = "We study in this paper some evolutionary games where competition between individuals from a large population occurs through many local interactions between randomly selected individuals. We focus on games that have the property of possessing a single interior evolutionarily stable strategy (ESS). We study in particular the effect of the time delays on the convergence of evolutionary dynamics to the ESS in an evolutionary game in which each pure strategy is associated with its own delay. In particular, we study a multiple access game as well as a Hawk and Dove game. We study the properties of the ESS in these games and also the effect of time delays on the convergence of various bio-inspired evolutionary game dynamics to the ESS.",

keywords = "Delay differential equation, Evolutionary games, Hawk and Dove game, Slotted Aloha",

author = "Hamidou Tembine and Eitan Altman and Rachid El-Azouzi and Yezekael Hayel",

note = "Funding Information: This paper combines and further develops models and results that appeared in preliminary versions in the proceedings of the First International Workshop on Game theory for Communication Networks (GameComm{\textquoteright}2007) [23], the Second International Conference on Performance Evaluation Methodologies and Tools (Valuetools{\textquoteright}2007) [21], and Bionetworks 2007 [22]. This work was partially supported by the INRIA ARC Program POPEYE and the European Project BIONETS.",

year = "2011",

month = jun,

doi = "10.1007/s11235-010-9307-1",

language = "English (US)",

volume = "47",

pages = "137--152",

journal = "Telecommunication Systems",

issn = "1018-4864",

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AU - Altman, Eitan

AU - El-Azouzi, Rachid

AU - Hayel, Yezekael

N1 - Funding Information: This paper combines and further develops models and results that appeared in preliminary versions in the proceedings of the First International Workshop on Game theory for Communication Networks (GameComm’2007) [23], the Second International Conference on Performance Evaluation Methodologies and Tools (Valuetools’2007) [21], and Bionetworks 2007 [22]. This work was partially supported by the INRIA ARC Program POPEYE and the European Project BIONETS.

PY - 2011/6

Y1 - 2011/6

N2 - We study in this paper some evolutionary games where competition between individuals from a large population occurs through many local interactions between randomly selected individuals. We focus on games that have the property of possessing a single interior evolutionarily stable strategy (ESS). We study in particular the effect of the time delays on the convergence of evolutionary dynamics to the ESS in an evolutionary game in which each pure strategy is associated with its own delay. In particular, we study a multiple access game as well as a Hawk and Dove game. We study the properties of the ESS in these games and also the effect of time delays on the convergence of various bio-inspired evolutionary game dynamics to the ESS.

AB - We study in this paper some evolutionary games where competition between individuals from a large population occurs through many local interactions between randomly selected individuals. We focus on games that have the property of possessing a single interior evolutionarily stable strategy (ESS). We study in particular the effect of the time delays on the convergence of evolutionary dynamics to the ESS in an evolutionary game in which each pure strategy is associated with its own delay. In particular, we study a multiple access game as well as a Hawk and Dove game. We study the properties of the ESS in these games and also the effect of time delays on the convergence of various bio-inspired evolutionary game dynamics to the ESS.

KW - Delay differential equation

KW - Evolutionary games

KW - Hawk and Dove game

KW - Slotted Aloha

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Bio-inspired delayed evolutionary game dynamics with networking applications

Abstract

Keywords

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