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What if criminals optimize their choice? Optimal strategies to defend public goods

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  • Bruni, Camilla
  • Nuño, Juan Carlos
  • Primicerio, Mario

Abstract

We investigate optimal strategies to defend valuable goods against the attacks of a thief. Given the value of the goods and the probability of success for the thief, we look for the strategy that assures the largest benefit to each player irrespective of the strategy of his opponent. Two complementary approaches are used: agent-based modeling and game theory. It is shown that the compromise between the value of the goods and the probability of success defines the mixed Nash equilibrium of the game, that is compared with the results of the agent-based simulations and discussed in terms of the system parameters.

Suggested Citation

  • Bruni, Camilla & Nuño, Juan Carlos & Primicerio, Mario, 2013. "What if criminals optimize their choice? Optimal strategies to defend public goods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 840-850.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:840-850
    DOI: 10.1016/j.physa.2012.10.002
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    References listed on IDEAS

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    1. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521775908, January.
    2. Luciano Andreozzi, 2004. "Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game," Public Choice, Springer, vol. 121(1), pages 69-82, October.
    3. Bianco, William T. & Ordeshook, Peter C. & Tsebelis, George, 1990. "Crime and Punishment: Are One-Shot, Two-Person Games Enough?," American Political Science Review, Cambridge University Press, vol. 84(2), pages 569-586, June.
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    Cited by:

    1. Stephenson, Daniel, 2019. "Coordination and evolutionary dynamics: When are evolutionary models reliable?," Games and Economic Behavior, Elsevier, vol. 113(C), pages 381-395.
    2. Alsenafi, Abdulaziz & Barbaro, Alethea B.T., 2018. "A convection–diffusion model for gang territoriality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 765-786.

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