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

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  • 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.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2005.79.

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Date of creation: May 2005
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Handle: RePEc:fem:femwpa:2005.79

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

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References

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  1. 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 766-88, September.
  2. Joëlle Noailly & Jeroen Bergh & Cees Withagen, 2009. "Local and Global Interactions in an Evolutionary Resource Game," Computational Economics, Society for Computational Economics, vol. 33(2), pages 155-173, March.
  3. Chichilnisky, Graciela, 1994. "North-South Trade and the Global Environment," American Economic Review, American Economic Association, vol. 84(4), pages 851-74, September.
  4. Dasgupta,P. S. & Heal,G. M., 1985. "Economic Theory and Exhaustible Resources," Cambridge Books, Cambridge University Press, number 9780521297615, October.
  5. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
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Citations

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Cited by:
  1. Jean-Philippe Atzenhoffer, 2012. "Could free-riders promote cooperation in the commons?," Environmental Economics and Policy Studies, Society for Environmental Economics and Policy Studies - SEEPS, vol. 14(1), pages 85-101, January.
  2. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
  3. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
  4. Joëlle Noailly & Jeroen C.J.M. van den Bergh & Cees A. Withagen, 2005. "Local and Global Interactions in an Evolutionary Resource Game," Working Papers 2005.78, Fondazione Eni Enrico Mattei.
  5. Jeroen Bergh, 2007. "Evolutionary thinking in environmental economics," Journal of Evolutionary Economics, Springer, vol. 17(5), pages 521-549, October.
  6. Emilio Calvo & Santiago J. Rubio, 2012. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," Discussion Papers in Economic Behaviour 0112, University of Valencia, ERI-CES.
  7. Horatiu Rus, 2010. "Corruption, Conflict and the Management of Natural Resources," Working Papers 1005, University of Waterloo, Department of Economics, revised May 2010.
  8. Lucas Bretschger & Sjak Smulders, 2007. "Sustainable Resource Use and Economic Dynamics," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 36(1), pages 1-13, January.
  9. Jean-Philippe Atzenhoffer, 2010. "A Note on Imitation-Based Competition in Common-Pool Resources," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 47(2), pages 299-304, October.
  10. Alessandro Tavoni & Maja Schlüter & Simon Levin, 2011. "The survival of the conformist: social pressure and renewable resource management," LSE Research Online Documents on Economics 37571, London School of Economics and Political Science, LSE Library.
  11. Alessandro Tavoni & Maja Schlüter & Simon Levin, 2011. "The survival of the conformist: social pressure and renewable resource management," Grantham Research Institute on Climate Change and the Environment Working Papers 35, Grantham Research Institute on Climate Change and the Environment.
  12. Michèle Breton & Lucia Sbragia & Georges Zaccour, 2010. "A Dynamic Model for International Environmental Agreements," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 45(1), pages 25-48, January.
  13. Jean-Philippe Atzenhoffer, 2008. "Evolutionary Stability in Common Pool Resources," Working Papers of BETA 2008-21, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  14. 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.
  15. Ludo Waltman & Nees Eck & Rommert Dekker & Uzay Kaymak, 2013. "An Evolutionary Model of Price Competition Among Spatially Distributed Firms," Computational Economics, Society for Computational Economics, vol. 42(4), pages 373-391, December.
  16. Nøstbakken, Linda, 2013. "Formal and informal quota enforcement," Resource and Energy Economics, Elsevier, vol. 35(2), pages 191-215.
  17. Andries Richter & Johan Grasman, 2013. "The Transmission of Sustainable Harvesting Norms When Agents Are Conditionally Cooperative," Working Papers 2013.80, Fondazione Eni Enrico Mattei.
  18. Karolina Safarzyńska & Jeroen Bergh, 2010. "Evolutionary models in economics: a survey of methods and building blocks," Journal of Evolutionary Economics, Springer, vol. 20(3), pages 329-373, June.
  19. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers 07-018/3, Tinbergen Institute.
  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.

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