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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)

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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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Publisher 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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Related research
Keywords: repeated prisoner’s dilemma; cooperation; agent-based economics; endogenous networks; Markov chains;

Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Frank Schweitzer & Laxmidhar Behera & Heinz MãœHlenbein, 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. [Downloadable!] (restricted)
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