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An Evolutionary Analysis of the Volunteer`s Dilemma

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  • David P. Myatt
  • Chris Wallace

Abstract

The volunteer`s dilemma is an asymmetric n-player binary-action game in which a public good is provided if and only if at least one player volunteers, and consequently bears some private cost. So long as the value generated for every player exceeds this private cost there are n pure-strategy Nash equilibria in each of which a single player volunteers. Quantal-response strategy revisions allow play to move between the different equilibria. A complete characterisation of long-run play as strategy revisions approximate best replies provides an equilibrium selection device. The volunteer need not be the lowest-cost player: relatively high-cost, but nonetheless stable players may instead provide the public good. The cost of provision is (weakly) reduced when higher values are associated with lower costs.

Suggested Citation

  • David P. Myatt & Chris Wallace, 2006. "An Evolutionary Analysis of the Volunteer`s Dilemma," Economics Series Working Papers 270, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:270
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Shakun D. Mago & Jennifer Pate, 2023. "Greed and fear: Competitive and charitable priming in a threshold volunteer's dilemma," Economic Inquiry, Western Economic Association International, vol. 61(1), pages 138-161, January.
    2. Nax, Heinrich H. & Rigos, Alexandros, 2015. "Assortativity evolving from social dilemmas," LSE Research Online Documents on Economics 65447, London School of Economics and Political Science, LSE Library.
    3. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    4. DavidP. Myatt & Chris Wallace, 2009. "Evolution, Teamwork and Collective Action: Production Targets in the Private Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(534), pages 61-90, January.
    5. Breitmoser, Yves, 2010. "Structural modeling of altruistic giving," MPRA Paper 24262, University Library of Munich, Germany.
    6. Nöldeke, Georg & Peña, Jorge, 2020. "Group size and collective action in a binary contribution game," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 42-51.
    7. Verena Kurz & Andreas Orland & Kinga Posadzy, 2018. "Fairness versus efficiency: how procedural fairness concerns affect coordination," Experimental Economics, Springer;Economic Science Association, vol. 21(3), pages 601-626, September.
    8. Kloosterman, Andrew & Mago, Shakun, 2023. "The infinitely repeated volunteer's dilemma: An experimental study," Games and Economic Behavior, Elsevier, vol. 142(C), pages 812-832.
    9. Pradelski, Bary S.R., 2023. "Social influence: The Usage History heuristic," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 105-113.
    10. Andrew J. Healy & Jennifer G. Pate, 2018. "Cost asymmetry and incomplete information in a volunteer’s dilemma experiment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 465-491, October.
    11. Wallace, Chris & Young, H. Peyton, 2015. "Stochastic Evolutionary Game Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    12. Kevin Hasker, 2014. "The Emergent Seed: A Representation Theorem for Models of Stochastic Evolution and two formulas for Waiting Time," Levine's Working Paper Archive 786969000000000954, David K. Levine.
    13. Christoph Feldhaus & Julia Stauf, 2016. "More than words: the effects of cheap talk in a volunteer’s dilemma," Experimental Economics, Springer;Economic Science Association, vol. 19(2), pages 342-359, June.
    14. Sacks, Michael, 2021. "Incentives for the over-provision of public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 197-213.

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    More about this item

    Keywords

    Volunteer`s Dilemma; Public Goods; Evolution; Equilibrium Selection; Concordance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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