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Spatial Evolution of Social Norms in a Common-Pool Resource Game

Author

Listed:
  • Joëlle Noailly

    (CPB Netherlands Bureau for Economic Policy Analysis)

  • Cees A. Withagen

    (Free University and Tilburg University)

  • Jeroen C.J.M. van den Bergh

    (Free University)

Abstract

We study the conditions for the emergence of cooperation in a spatial common-pool resource game. We consider three types of agents: cooperators, defectors and enforcers. The role of enforcers is to punish defectors for overharvesting the resource. Agents are located around a circle and they only observe the actions of their two nearest neighbors. Their payoffs are determined by both local and global interactions and they modify their actions by imitating the strategy in their neighborhood with the highest payoffs on average. Using theoretical and numerical analysis, we find that a large diversity of equilibria exists in this game. In particular, we derive conditions for the occurrence of equilibria in which the three strategies coexist. We also discuss the stability of these equilibria. Finally, we show that introducing resource dynamics favors the occurrence of cooperative equilibria.

Suggested Citation

  • Joëlle Noailly & Cees A. Withagen & Jeroen C.J.M. van den Bergh, 2005. "Spatial Evolution of Social Norms in a Common-Pool Resource Game," Working Papers 2005.79, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2005.79
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    References listed on IDEAS

    as
    1. Chichilnisky, Graciela, 1994. "North-South Trade and the Global Environment," American Economic Review, American Economic Association, vol. 84(4), pages 851-874, September.
    2. Joëlle Noailly & Jeroen Bergh & Cees Withagen, 2009. "Local and Global Interactions in an Evolutionary Resource Game," Computational Economics, Springer;Society for Computational Economics, vol. 33(2), pages 155-173, March.
    3. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612, Wisconsin Madison - Social Systems.
    4. Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-179, March.
    5. Sethi, Rajiv & Somanathan, E, 1996. "The Evolution of Social Norms in Common Property Resource Use," American Economic Review, American Economic Association, vol. 86(4), pages 766-788, September.
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    Cited by:

    1. Jean-Philippe Atzenhoffer, 2008. "Evolutionary Stability in Common Pool Resources," Working Papers of BETA 2008-21, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    2. Breton, Michele & Sbragia, Lucia & Zaccour, Georges, 2008. "Dynamic Models for International Environmental Agreements," Coalition Theory Network Working Papers 6231, Fondazione Eni Enrico Mattei (FEEM).
    3. repec:eee:reecon:v:71:y:2017:i:2:p:236-253 is not listed on IDEAS
    4. Petrohilos-Andrianos, Yannis & Xepapadeas, Anastasios, 2017. "Resource harvesting regulation and enforcement: An evolutionary approach," Research in Economics, Elsevier, vol. 71(2), pages 236-253.
    5. Jeroen Bergh, 2007. "Evolutionary thinking in environmental economics," Journal of Evolutionary Economics, Springer, vol. 17(5), pages 521-549, October.
    6. Nøstbakken, Linda, 2013. "Formal and informal quota enforcement," Resource and Energy Economics, Elsevier, vol. 35(2), pages 191-215.
    7. Leonardo Becchetti & Pierluigi Conzo & Giacomo Degli Antoni, 2015. "Public disclosure of players’ conduct and common resources harvesting: experimental evidence from a Nairobi slum," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 71-96, June.
    8. Lucas Bretschger & Sjak Smulders, 2007. "Sustainable Resource Use and Economic Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 36(1), pages 1-13, January.
    9. van den Bergh, Jeroen C.J.M. & Gowdy, John M., 2009. "A group selection perspective on economic behavior, institutions and organizations," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 1-20, October.
    10. Michèle Breton & Lucia Sbragia & Georges Zaccour, 2010. "A Dynamic Model for International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(1), pages 25-48, January.
    11. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    12. Alessandro Tavoni & Maja Schlüter & Simon Levin, 2010. "The Survival of the Conformist: Social Pressure and Renewable Resource Management," Working Papers 2010.127, Fondazione Eni Enrico Mattei.
    13. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
    14. Joëlle Noailly & Jeroen Bergh & Cees Withagen, 2009. "Local and Global Interactions in an Evolutionary Resource Game," Computational Economics, Springer;Society for Computational Economics, vol. 33(2), pages 155-173, March.
    15. Nicholas M. Gotts & J. Gary Polhill, 2009. "When and How to Imitate Your Neighbours: Lessons from and for FEARLUS," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(3), pages 1-2.
    16. Jean-Philippe Atzenhoffer, 2010. "A Note on Imitation-Based Competition in Common-Pool Resources," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 47(2), pages 299-304, October.
    17. Ludo Waltman & Nees Eck & Rommert Dekker & Uzay Kaymak, 2013. "An Evolutionary Model of Price Competition Among Spatially Distributed Firms," Computational Economics, Springer;Society for Computational Economics, vol. 42(4), pages 373-391, December.
    18. Waring, Timothy M. & Goff, Sandra H. & Smaldino, Paul E., 2017. "The coevolution of economic institutions and sustainable consumption via cultural group selection," Ecological Economics, Elsevier, vol. 131(C), pages 524-532.
    19. Jean-Philippe Atzenhoffer, 2012. "Could free-riders promote cooperation in the commons?," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 14(1), pages 85-101, January.
    20. Richter, Andries & Grasman, Johan, 2013. "The transmission of sustainable harvesting norms when agents are conditionally cooperative," Ecological Economics, Elsevier, vol. 93(C), pages 202-209.
    21. Horatiu Rus, 2014. "Corruption, conflict and the management of natural resources," Economics of Governance, Springer, vol. 15(4), pages 355-386, November.
    22. Marchiori, Carmen, 2014. "Inequality and rules in the governance of water resources," Ecological Economics, Elsevier, vol. 105(C), pages 124-129.

    More about this item

    Keywords

    Common property; Evolutionary game theory; Local interactions game; Self-organization; Cooperation;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation

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