Cooperation in costly-access environments

Understanding cooperative behavior in biological and social systems constitutes a scientific challenge, being the object of intense research over the past decades. Many mechanisms have been proposed to explain the presence and persistence of cooperation in those systems, showing that there is no uni...

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Main Authors: Hugo Pérez-Martínez, Carlos Gracia-Lázaro, Fabio Dercole, Yamir Moreno
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac7b9d
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author Hugo Pérez-Martínez
Carlos Gracia-Lázaro
Fabio Dercole
Yamir Moreno
author_facet Hugo Pérez-Martínez
Carlos Gracia-Lázaro
Fabio Dercole
Yamir Moreno
author_sort Hugo Pérez-Martínez
collection DOAJ
description Understanding cooperative behavior in biological and social systems constitutes a scientific challenge, being the object of intense research over the past decades. Many mechanisms have been proposed to explain the presence and persistence of cooperation in those systems, showing that there is no unique explanation, as different scenarios have different possible driving forces. In this paper, we propose a model to study situations in which voluntary participation involves an access cost to the cooperative interaction, besides the cost associated with cooperation. The proposed costly-access prisoner’s dilemma (PD), a symmetric donation game with voluntary and costly participation, breaks the symmetry between abstainers and participants of the voluntary PD. A mean-field approach shows that, in well-mixed populations, the dynamic always leads the system to abstention. However, depending on the return parameter, numerical simulations in structured populations display an alternating behavior between mono-strategic, multi-stable, and coexistence phases. This behavior is fully explained through a theoretical analysis of the strategic motifs, the transitions being determined by the change in stability of those motifs.
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spelling doaj.art-599280446a9341e2804929c668a84a0f2023-08-09T14:25:59ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124808300510.1088/1367-2630/ac7b9dCooperation in costly-access environmentsHugo Pérez-Martínez0https://orcid.org/0000-0001-5959-6724Carlos Gracia-Lázaro1https://orcid.org/0000-0002-9769-8796Fabio Dercole2https://orcid.org/0000-0001-9256-0651Yamir Moreno3https://orcid.org/0000-0002-0895-1893Department of Condensed Matter Physics, University of Zaragoza , 50009, Zaragoza, Spain; Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza , 50018, Zaragoza, SpainInstitute for Biocomputation and Physics of Complex Systems, University of Zaragoza , 50018, Zaragoza, SpainDepartment of Electronics, Information, and Bioengineering, Politecnico di Milano , 20133, Milano, ItalyInstitute for Biocomputation and Physics of Complex Systems, University of Zaragoza , 50018, Zaragoza, Spain; Department of Theoretical Physics, University of Zaragoza , 50005, Zaragoza, Spain; ISI Foundation , Turin, ItalyUnderstanding cooperative behavior in biological and social systems constitutes a scientific challenge, being the object of intense research over the past decades. Many mechanisms have been proposed to explain the presence and persistence of cooperation in those systems, showing that there is no unique explanation, as different scenarios have different possible driving forces. In this paper, we propose a model to study situations in which voluntary participation involves an access cost to the cooperative interaction, besides the cost associated with cooperation. The proposed costly-access prisoner’s dilemma (PD), a symmetric donation game with voluntary and costly participation, breaks the symmetry between abstainers and participants of the voluntary PD. A mean-field approach shows that, in well-mixed populations, the dynamic always leads the system to abstention. However, depending on the return parameter, numerical simulations in structured populations display an alternating behavior between mono-strategic, multi-stable, and coexistence phases. This behavior is fully explained through a theoretical analysis of the strategic motifs, the transitions being determined by the change in stability of those motifs.https://doi.org/10.1088/1367-2630/ac7b9dcooperationevolutionary game theorycomplex systemssocial dilemmas
spellingShingle Hugo Pérez-Martínez
Carlos Gracia-Lázaro
Fabio Dercole
Yamir Moreno
Cooperation in costly-access environments
New Journal of Physics
cooperation
evolutionary game theory
complex systems
social dilemmas
title Cooperation in costly-access environments
title_full Cooperation in costly-access environments
title_fullStr Cooperation in costly-access environments
title_full_unstemmed Cooperation in costly-access environments
title_short Cooperation in costly-access environments
title_sort cooperation in costly access environments
topic cooperation
evolutionary game theory
complex systems
social dilemmas
url https://doi.org/10.1088/1367-2630/ac7b9d
work_keys_str_mv AT hugoperezmartinez cooperationincostlyaccessenvironments
AT carlosgracialazaro cooperationincostlyaccessenvironments
AT fabiodercole cooperationincostlyaccessenvironments
AT yamirmoreno cooperationincostlyaccessenvironments