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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
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112008825
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 392 (2013)
    Issue (Month): 4 ()
    Pages: 840-850

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    Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:840-850

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Criminality; Mathematical model; Game theory; Mixed Nash equilibrium; Agent-based modeling; Computer simulations;

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    1. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521772518, April.
    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.
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