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Near-efficient equilibria in contribution-based competitive grouping

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  • Gunnthorsdottir, Anna
  • Vragov, Roumen
  • Seifert, Stefan
  • McCabe, Kevin

Abstract

We examine theoretically and experimentally how competitive contribution-based group formation affects incentives to free-ride. We introduce a new formal model of social production, called a "Group-based Meritocracy Mechanism" (GBM), which extends the single-group-level analysis of a Voluntary Contribution Mechanism (VCM) to multiple groups. In a GBM individuals are ranked according to their group contributions. Based on this ranking, participants are then partitioned into equal-sized groups. Members of each group share their collective output equally amongst themselves according to a VCM payoff function. The GBM has two pure-strategy Nash equilibria. One is non-contribution by all; this equilibrium thus coincides with the VCM's equilibrium. The second equilibrium is close to Pareto optimal. It is asymmetric and quite complex from the viewpoint of experimental subjects, yet subjects tacitly coordinate this equilibrium reliably and precisely. Extensions of the basic GBM model to incorporate various features of naturally occurring group formation are suggested in the conclusion.

Suggested Citation

  • Gunnthorsdottir, Anna & Vragov, Roumen & Seifert, Stefan & McCabe, Kevin, 2010. "Near-efficient equilibria in contribution-based competitive grouping," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 987-994, December.
    • Handle: RePEc:eee:pubeco:v:94:y:2010:i:11-12:p:987-994
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    5. Andrej Angelovski & Tibor Neugebauer & Maroš Servatka, 2019. "Can Rank-Order Competition Resolve the Free-Rider Problem in the Voluntary Provision of Impure Public Goods? Experimental Evidence," Working Papers CESARE 1705, Dipartimento di Economia e Finanza, LUISS Guido Carli.
    6. 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.
    7. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wu, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Center for Economic Research (RECent) 121, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
    8. Casoria, Fortuna & Ciccone, Alice, 2021. "Do upfront investments increase cooperation? A laboratory experiment," European Economic Review, Elsevier, vol. 140(C).
    9. Andrea Robbett, 2016. "Community dynamics in the lab," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 543-568, March.
    10. Stefano Duca & Dirk Helbing & Heinrich H. Nax, 2018. "Assortative Matching with Inequality in Voluntary Contribution Games," Computational Economics, Springer;Society for Computational Economics, vol. 52(3), pages 1029-1043, October.
    11. Susana Cabrera & Enrique Fatás & Juan Lacomba & Tibor Neugebauer, 2013. "Splitting leagues: promotion and demotion in contribution-based regrouping experiments," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 426-441, September.
    12. Thomas Markussen & Ernesto Reuben & Jean‐Robert Tyran, 2014. "Competition, Cooperation and Collective Choice," Economic Journal, Royal Economic Society, vol. 124(574), pages 163-195, February.
    13. Ayoubi, Charles & Thurm, Boris, 2020. "Evolution and Heterogeneity of Social Preferences," OSF Preprints ucx8z, Center for Open Science.
    14. Nax, Heinrich H. & Balietti, Stefano & Murphy, Ryan O. & Helbing, Dirk, 2015. "Meritocratic matching can dissolve the efficiency-equality tradeoff: the case of voluntary contributions," LSE Research Online Documents on Economics 65443, London School of Economics and Political Science, LSE Library.
    15. Charness, Gary & Yang, Chun-Lei, 2014. "Starting small toward voluntary formation of efficient large groups in public goods provision," Journal of Economic Behavior & Organization, Elsevier, vol. 102(C), pages 119-132.
    16. Francisca Jiménez-Jiménez, 2023. "Heterogeneity, coordination and competition: the distribution of individual preferences in organisations," Economics of Governance, Springer, vol. 24(1), pages 67-107, March.
    17. Ashby, Nathan J. & Ramos, Miguel A., 2023. "Productivity within groups: An analysis of shirking in high school cross country competitions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 106(C).
    18. Ennio Bilancini & Leonardo Boncinelli & Jiabin Wuz, 2016. "The Interplay of Cultural Aversion and Assortativity for the Emergence of Cooperation," Department of Economics 0084, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".

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