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Endogenous Neighborhood Selection and the Attainment of Cooperation in a Spatial Prisoner's Dilemma Game

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Author Info

  • Jason Barr

    (Rutgers University, Newark, Department of Economics)

  • Troy Tassier

    (Fordham University, Department of Economics)

Abstract

There is a large literature in economics and elsewhere on the emergence and evolution of cooperation in the repeated Prisoner's Dilemma. Recently this literature has expanded to include cooperation in spatial prisoner dilemma games where agents play only with local neighbors in a specified geography. In this paper we explore how the ability of agents to move and choose new locations and new neighbors influences the emergence of cooperation. First, we explore the dynamics of cooperation by investigating agent strategies that yield Markov transition probabilities. We show how different agent strategies yield different Markov chains which generate different asymptotic behaviors in regard to the attainment of cooperation. Second, we investigate how agent movement affects the attainment of cooperation in various spatial networks using agent based simulations.

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Bibliographic Info

Paper provided by Fordham University, Department of Economics in its series Fordham Economics Discussion Paper Series with number dp2008-21.

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Date of creation: 2008
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Handle: RePEc:frd:wpaper:dp2008-21

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Web page: http://www.fordham.edu/economics/
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Keywords: repeated prisoner's dilemma; cooperation; agent-based economics; endogenous networks; Markov chains;

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  1. Wilhite, Allen, 2006. "Economic Activity on Fixed Networks," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 20, pages 1013-1045 Elsevier.
  2. Theodore C. Bergstrom, 2002. "Evolution of Social Behavior: Individual and Group Selection," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 67-88, Spring.
  3. D. Fudenberg & E. Maskin, 2010. "Evolution and Cooperation in Noisy Repeated Games," Levine's Working Paper Archive 546, David K. Levine.
  4. Frank Schweitzer & Laxmidhar Behera & Heinz Mühlenbein, 2002. "Evolution Of Cooperation In A Spatial Prisoner'S Dilemma," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 269-299.
  5. Ahn, T.K. & Isaac, R. Mark & Salmon, Timothy C., 2009. "Coming and going: Experiments on endogenous group sizes for excludable public goods," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 336-351, February.
  6. Jason Barr & Troy Tassier, 2007. "Segregation and Strategic Neighborhood Interaction," Working Papers Rutgers University, Newark 2007-001, Department of Economics, Rutgers University, Newark.
  7. Janssen, Marco A., 2008. "Evolution of cooperation in a one-shot Prisoner's Dilemma based on recognition of trustworthy and untrustworthy agents," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 458-471, March.
  8. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
  9. Nobuyuki Hanaki & Alexander Peterhansl & Peter S. Dodds & Duncan J. Watts, 2007. "Cooperation in Evolving Social Networks," Management Science, INFORMS, vol. 53(7), pages 1036-1050, July.
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Cited by:
  1. 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.

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