Evolutionary dynamics of N-person Hawk-Dove games

Abstract In the animal world, the competition between individuals belonging to different species for a resource often requires the cooperation of several individuals in groups. This paper proposes a generalization of the Hawk-Dove Game for an arbitrary number of agents: the N-person Hawk-Dove Game....

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Autores principales:	Wei Chen, Carlos Gracia-Lázaro, Zhiwu Li, Long Wang, Yamir Moreno
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/8ff5337920084e65938bf9bafa938ab0
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spelling	oai:doaj.org-article:8ff5337920084e65938bf9bafa938ab02021-12-02T15:05:32ZEvolutionary dynamics of N-person Hawk-Dove games10.1038/s41598-017-04284-62045-2322https://doaj.org/article/8ff5337920084e65938bf9bafa938ab02017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04284-6https://doaj.org/toc/2045-2322Abstract In the animal world, the competition between individuals belonging to different species for a resource often requires the cooperation of several individuals in groups. This paper proposes a generalization of the Hawk-Dove Game for an arbitrary number of agents: the N-person Hawk-Dove Game. In this model, doves exemplify the cooperative behavior without intraspecies conflict, while hawks represent the aggressive behavior. In the absence of hawks, doves share the resource equally and avoid conflict, but having hawks around lead to doves escaping without fighting. Conversely, hawks fight for the resource at the cost of getting injured. Nevertheless, if doves are present in sufficient number to expel the hawks, they can aggregate to protect the resource, and thus avoid being plundered by hawks. We derive and numerically solve an exact equation for the evolution of the system in both finite and infinite well-mixed populations, finding the conditions for stable coexistence between both species. Furthermore, by varying the different parameters, we found a scenario of bifurcations that leads the system from dominating hawks and coexistence to bi-stability, multiple interior equilibria and dominating doves.Wei ChenCarlos Gracia-LázaroZhiwu LiLong WangYamir MorenoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-10 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Wei Chen Carlos Gracia-Lázaro Zhiwu Li Long Wang Yamir Moreno Evolutionary dynamics of N-person Hawk-Dove games
description	Abstract In the animal world, the competition between individuals belonging to different species for a resource often requires the cooperation of several individuals in groups. This paper proposes a generalization of the Hawk-Dove Game for an arbitrary number of agents: the N-person Hawk-Dove Game. In this model, doves exemplify the cooperative behavior without intraspecies conflict, while hawks represent the aggressive behavior. In the absence of hawks, doves share the resource equally and avoid conflict, but having hawks around lead to doves escaping without fighting. Conversely, hawks fight for the resource at the cost of getting injured. Nevertheless, if doves are present in sufficient number to expel the hawks, they can aggregate to protect the resource, and thus avoid being plundered by hawks. We derive and numerically solve an exact equation for the evolution of the system in both finite and infinite well-mixed populations, finding the conditions for stable coexistence between both species. Furthermore, by varying the different parameters, we found a scenario of bifurcations that leads the system from dominating hawks and coexistence to bi-stability, multiple interior equilibria and dominating doves.
format	article
author	Wei Chen Carlos Gracia-Lázaro Zhiwu Li Long Wang Yamir Moreno
author_facet	Wei Chen Carlos Gracia-Lázaro Zhiwu Li Long Wang Yamir Moreno
author_sort	Wei Chen
title	Evolutionary dynamics of N-person Hawk-Dove games
title_short	Evolutionary dynamics of N-person Hawk-Dove games
title_full	Evolutionary dynamics of N-person Hawk-Dove games
title_fullStr	Evolutionary dynamics of N-person Hawk-Dove games
title_full_unstemmed	Evolutionary dynamics of N-person Hawk-Dove games
title_sort	evolutionary dynamics of n-person hawk-dove games
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/8ff5337920084e65938bf9bafa938ab0
work_keys_str_mv	AT weichen evolutionarydynamicsofnpersonhawkdovegames AT carlosgracialazaro evolutionarydynamicsofnpersonhawkdovegames AT zhiwuli evolutionarydynamicsofnpersonhawkdovegames AT longwang evolutionarydynamicsofnpersonhawkdovegames AT yamirmoreno evolutionarydynamicsofnpersonhawkdovegames
_version_	1718388780318064640

Evolutionary dynamics of N-person Hawk-Dove games

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