Crime, Punishment, and Evolution in an Adversarial Game
AbstractWe examine the game theoretic properties of a model of crime first introduced by Short, Brantingham, and D'Orsogna (Short et al. 2010) as the SBD Adversarial Game. We identify the rationalizable strategies and one-shot equilibria under mul- tiple equilibrium refinements. We further show that SBD's main result about the effectiveness of defecting-punishers in driving the system to evolve to the cooperative equilibrium under an imitation dynamic does generalize to a best response dynamic, although the nature of this strategy's role differs significantly between the two dynamics. The analysis reveals that the positive externality in punishing crime in the SBD game converts the adversarial setting from a social dilemma to a coordination game. We provide policy implications and lessons learned about the evolution of cooperation more generally.
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Bibliographic InfoPaper provided by University of California-Irvine, Department of Economics in its series Working Papers with number 121308.
Length: 29 pages
Date of creation: Sep 2012
Date of revision:
Cooperation; Punishment; Evolution;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances
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