Coexistence of cooperation and defection in public goods games.

The production of public goods by the contribution of individual volunteers is a social dilemma because an individual that does not volunteer can benefit from the public good produced by the contributions of others. Therefore it is generally believed that public goods can be produced only in the pre...

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Main Authors: Archetti, M, Scheuring, I
Format: Journal article
Language:English
Published: 2011
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author Archetti, M
Scheuring, I
author_facet Archetti, M
Scheuring, I
author_sort Archetti, M
collection OXFORD
description The production of public goods by the contribution of individual volunteers is a social dilemma because an individual that does not volunteer can benefit from the public good produced by the contributions of others. Therefore it is generally believed that public goods can be produced only in the presence of repeated interactions (which allow reciprocation, reputation effects and punishment) or relatedness (kin selection). Cooperation, however, often occurs in the absence of iterations and relatedness. We show that when the production of a public good is a Volunteer's Dilemma, in which a fixed number of cooperators is necessary to produce the public good, cooperators and defectors persist in a mixed equilibrium, without iterations and without relatedness. This mixed equilibrium is absent in the N-person Prisoner's Dilemma, in which the public good is a linear function of the individual contributions. We also show that the Prisoner's Dilemma and the Volunteer's Dilemma are the two opposite extremes of a general public goods game, and that all intermediate cases can have a mixed equilibrium like the Volunteer's Dilemma. The coexistence of cooperators and defectors, therefore, is a typical outcome of most social dilemmas, which requires neither relatedness nor iterations.
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spelling oxford-uuid:934e1884-3ccf-4dfb-8b86-b8f3e73190812022-03-26T23:31:20ZCoexistence of cooperation and defection in public goods games.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:934e1884-3ccf-4dfb-8b86-b8f3e7319081EnglishSymplectic Elements at Oxford2011Archetti, MScheuring, IThe production of public goods by the contribution of individual volunteers is a social dilemma because an individual that does not volunteer can benefit from the public good produced by the contributions of others. Therefore it is generally believed that public goods can be produced only in the presence of repeated interactions (which allow reciprocation, reputation effects and punishment) or relatedness (kin selection). Cooperation, however, often occurs in the absence of iterations and relatedness. We show that when the production of a public good is a Volunteer's Dilemma, in which a fixed number of cooperators is necessary to produce the public good, cooperators and defectors persist in a mixed equilibrium, without iterations and without relatedness. This mixed equilibrium is absent in the N-person Prisoner's Dilemma, in which the public good is a linear function of the individual contributions. We also show that the Prisoner's Dilemma and the Volunteer's Dilemma are the two opposite extremes of a general public goods game, and that all intermediate cases can have a mixed equilibrium like the Volunteer's Dilemma. The coexistence of cooperators and defectors, therefore, is a typical outcome of most social dilemmas, which requires neither relatedness nor iterations.
spellingShingle Archetti, M
Scheuring, I
Coexistence of cooperation and defection in public goods games.
title Coexistence of cooperation and defection in public goods games.
title_full Coexistence of cooperation and defection in public goods games.
title_fullStr Coexistence of cooperation and defection in public goods games.
title_full_unstemmed Coexistence of cooperation and defection in public goods games.
title_short Coexistence of cooperation and defection in public goods games.
title_sort coexistence of cooperation and defection in public goods games
work_keys_str_mv AT archettim coexistenceofcooperationanddefectioninpublicgoodsgames
AT scheuringi coexistenceofcooperationanddefectioninpublicgoodsgames