Cooperation in Public Goods Games: Stay, But Not for Too Long

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because cooperators would collect greater payoffs. In the context of evolutio...

Ամբողջական նկարագրություն

Մատենագիտական մանրամասներ
Հիմնական հեղինակներ: Lucas Wardil, Marco Antonio Amaral
Ձևաչափ: Հոդված
Լեզու:English
Հրապարակվել է: MDPI AG 2017-08-01
Շարք:Games
Խորագրեր:
Առցանց հասանելիություն:https://www.mdpi.com/2073-4336/8/3/35
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author Lucas Wardil
Marco Antonio Amaral
author_facet Lucas Wardil
Marco Antonio Amaral
author_sort Lucas Wardil
collection DOAJ
description Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because cooperators would collect greater payoffs. In the context of evolutionary game theory, individuals that always cooperate cannot win the competition against defectors in well-mixed populations. Here, we study the evolution of a population where fitness is obtained in repeated public goods games and players have a fixed probability of playing the next round. As a result, the group size decreases during the game. The population is well-mixed and there are only two available strategies: always cooperate (ALLC) or always defect (ALLD). Through numerical calculation and analytical approximations we show that cooperation can emerge if the players stay playing the game, but not for too long. The essential mechanism is the interaction between the transition from strong to weak altruism, as the group size decreases, and the existence of an upper limit to the number of rounds representing limited time availability.
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spelling doaj.art-b51aa20654b84a6eabb16bf4ffbb18c02022-12-21T18:58:28ZengMDPI AGGames2073-43362017-08-01833510.3390/g8030035g8030035Cooperation in Public Goods Games: Stay, But Not for Too LongLucas Wardil0Marco Antonio Amaral1Departamento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte CEP 30161-970, MG, BrazilInstituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, Porto Alegre CEP 91501-970, RS, BrazilCooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because cooperators would collect greater payoffs. In the context of evolutionary game theory, individuals that always cooperate cannot win the competition against defectors in well-mixed populations. Here, we study the evolution of a population where fitness is obtained in repeated public goods games and players have a fixed probability of playing the next round. As a result, the group size decreases during the game. The population is well-mixed and there are only two available strategies: always cooperate (ALLC) or always defect (ALLD). Through numerical calculation and analytical approximations we show that cooperation can emerge if the players stay playing the game, but not for too long. The essential mechanism is the interaction between the transition from strong to weak altruism, as the group size decreases, and the existence of an upper limit to the number of rounds representing limited time availability.https://www.mdpi.com/2073-4336/8/3/35evolutionary game theorypublic goods gamerepeated gamesfixation probability
spellingShingle Lucas Wardil
Marco Antonio Amaral
Cooperation in Public Goods Games: Stay, But Not for Too Long
Games
evolutionary game theory
public goods game
repeated games
fixation probability
title Cooperation in Public Goods Games: Stay, But Not for Too Long
title_full Cooperation in Public Goods Games: Stay, But Not for Too Long
title_fullStr Cooperation in Public Goods Games: Stay, But Not for Too Long
title_full_unstemmed Cooperation in Public Goods Games: Stay, But Not for Too Long
title_short Cooperation in Public Goods Games: Stay, But Not for Too Long
title_sort cooperation in public goods games stay but not for too long
topic evolutionary game theory
public goods game
repeated games
fixation probability
url https://www.mdpi.com/2073-4336/8/3/35
work_keys_str_mv AT lucaswardil cooperationinpublicgoodsgamesstaybutnotfortoolong
AT marcoantonioamaral cooperationinpublicgoodsgamesstaybutnotfortoolong