Competition of tolerant strategies in the spatial public goods game

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where in addition to cooperators, defectors, and loners, tolerant...

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Main Authors: Attila Szolnoki, Matjaž Perc
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/8/083021
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author Attila Szolnoki
Matjaž Perc
author_facet Attila Szolnoki
Matjaž Perc
author_sort Attila Szolnoki
collection DOAJ
description Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where in addition to cooperators, defectors, and loners, tolerant players are also present. Depending on the number of defectors within a group, a tolerant player can either cooperate in or abstain from a particular instance of the game. We show that the diversity of tolerance can give rise to synergistic effects, wherein players with a different threshold in terms of the tolerated number of defectors in a group compete most effectively against defection and default abstinence. Such synergistic associations can stabilise states of full cooperation where otherwise defection would dominate. We observe complex pattern formation that gives rise to an intricate phase diagram, where invisible yet stable strategy alliances require outmost care lest they are overlooked. Our results highlight the delicate importance of diversity and tolerance for the provisioning of public goods, and they reveal fascinating subtleties of the spatiotemporal dynamics that is due to the competition of subsystem solutions in structured populations.
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spelling doaj.art-c641bb668ffb48d7ad7a927f1960bb412023-08-08T14:29:39ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118808302110.1088/1367-2630/18/8/083021Competition of tolerant strategies in the spatial public goods gameAttila Szolnoki0https://orcid.org/0000-0002-0907-0406Matjaž Perc1https://orcid.org/0000-0002-3087-541XInstitute of Technical Physics and Materials Science, Centre for Energy Research, Hungarian Academy of Sciences, P O Box 49, H-1525 Budapest, HungaryFaculty of Natural Sciences and Mathematics, University of Maribor , Koroška cesta 160, SI-2000 Maribor, Slovenia; CAMTP—Center for Applied Mathematics and Theoretical Physics, University of Maribor , Krekova 2, SI-2000 Maribor, SloveniaTolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where in addition to cooperators, defectors, and loners, tolerant players are also present. Depending on the number of defectors within a group, a tolerant player can either cooperate in or abstain from a particular instance of the game. We show that the diversity of tolerance can give rise to synergistic effects, wherein players with a different threshold in terms of the tolerated number of defectors in a group compete most effectively against defection and default abstinence. Such synergistic associations can stabilise states of full cooperation where otherwise defection would dominate. We observe complex pattern formation that gives rise to an intricate phase diagram, where invisible yet stable strategy alliances require outmost care lest they are overlooked. Our results highlight the delicate importance of diversity and tolerance for the provisioning of public goods, and they reveal fascinating subtleties of the spatiotemporal dynamics that is due to the competition of subsystem solutions in structured populations.https://doi.org/10.1088/1367-2630/18/8/083021evolutionary game theorypublic goods gamehuman cooperation89.75.Fb87.23.Ge89.65.-s
spellingShingle Attila Szolnoki
Matjaž Perc
Competition of tolerant strategies in the spatial public goods game
New Journal of Physics
evolutionary game theory
public goods game
human cooperation
89.75.Fb
87.23.Ge
89.65.-s
title Competition of tolerant strategies in the spatial public goods game
title_full Competition of tolerant strategies in the spatial public goods game
title_fullStr Competition of tolerant strategies in the spatial public goods game
title_full_unstemmed Competition of tolerant strategies in the spatial public goods game
title_short Competition of tolerant strategies in the spatial public goods game
title_sort competition of tolerant strategies in the spatial public goods game
topic evolutionary game theory
public goods game
human cooperation
89.75.Fb
87.23.Ge
89.65.-s
url https://doi.org/10.1088/1367-2630/18/8/083021
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AT matjazperc competitionoftolerantstrategiesinthespatialpublicgoodsgame