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

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  • Joëlle Noailly

    ()

  • Cees Withagen
  • Jeroen Bergh

Abstract

We study the conditions for the emergence of cooperation in a spatial common-pool resource (CPR) 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 on 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 average payoffs on average. Using theoretical and numerical analysis, we find a large diversity of equilibria to be the outcome of the game. In particular, we find conditions for the occurrence of equilibria in which the three strategies coexist. We also derive the stability of these equilibria. Finally, we show that introducing resource dynamics in the system favors the occurrence of cooperative equilibria. Copyright Springer Science+Business Media, Inc. 2007

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Bibliographic Info

Article provided by European Association of Environmental and Resource Economists in its journal Environmental and Resource Economics.

Volume (Year): 36 (2007)
Issue (Month): 1 (January)
Pages: 113-141

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Handle: RePEc:kap:enreec:v:36:y:2007:i:1:p:113-141

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Web page: http://www.springerlink.com/link.asp?id=100263

Related research

Keywords: common property; cooperation; evolutionary game theory; local and global interaction game; self-organization; C72; Q2;

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  1. repec:att:wimass:9612 is not listed on IDEAS
  2. Dasgupta,P. S. & Heal,G. M., 1985. "Economic Theory and Exhaustible Resources," Cambridge Books, Cambridge University Press, number 9780521297615.
  3. Eshel, I. & Samuelson, L. & Shaked, A., 1996. "Altruists, Egoists and Hooligans in a Local Interaction Model," Working papers 9612r, Wisconsin Madison - Social Systems.
  4. 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.
  5. 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.
  6. Chichilnisky, Graciela, 1994. "North-South Trade and the Global Environment," American Economic Review, American Economic Association, vol. 84(4), pages 851-74, September.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers 07-018/3, Tinbergen Institute.
  5. 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.
  6. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.
  7. 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.
  8. Jean-Philippe Atzenhoffer, 2008. "Evolutionary Stability in Common Pool Resources," Working Papers of BETA 2008-21, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  9. 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.
  10. 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.
  11. 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.
  12. Jeroen C.J.M. van den Bergh, 2007. "Evolutionary Thinking in Environmental Economics," Tinbergen Institute Discussion Papers 07-018/3, Tinbergen Institute.
  13. 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.
  14. Andries Richter & Johan Grasman, 2013. "The Transmission of Sustainable Harvesting Norms When Agents Are Conditionally Cooperative," Working Papers 2013.80, Fondazione Eni Enrico Mattei.
  15. Horatiu Rus, 2010. "Corruption, Conflict and the Management of Natural Resources," Working Papers 1005, University of Waterloo, Department of Economics, revised May 2010.
  16. 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.
  17. 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.
  18. Nøstbakken, Linda, 2013. "Formal and informal quota enforcement," Resource and Energy Economics, Elsevier, vol. 35(2), pages 191-215.
  19. Jurjen Kamphorst & Gerard van der Laan, 2006. "Learning in a Local Interaction Hawk-Dove Game," Tinbergen Institute Discussion Papers 06-034/1, Tinbergen Institute.

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