IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i4p840-850.html

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112008825
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2012.10.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Luciano Andreozzi, 2004. "Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game," Public Choice, Springer, vol. 121(1), pages 69-82, October.
    2. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521775908.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kirstein, Roland, 2005. "Bayesian Monitoring," CSLE Discussion Paper Series 2005-06, Saarland University, CSLE - Center for the Study of Law and Economics.
    2. Rimawan Pradiptyo, 2015. "A Certain Uncertainty; Assessment of Court Decisions in Tackling Corruption in Indonesia," World Scientific Book Chapters, in: R N Ghosh & M A B Siddique (ed.), CORRUPTION, GOOD GOVERNANCE and ECONOMIC DEVELOPMENT Contemporary Analysis and Case Studies, chapter 10, pages 167-215, World Scientific Publishing Co. Pte. Ltd..
    3. Pradiptyo Rimawan, 2007. "Does Punishment Matter? A Refinement of the Inspection Game," Review of Law & Economics, De Gruyter, vol. 3(2), pages 197-219, August.
    4. Roland Kirstein, 2014. "Doping, the Inspection Game, and Bayesian Enforcement," Journal of Sports Economics, , vol. 15(4), pages 385-409, August.
    5. Gianfranco Gambarelli & Daniele Gervasio & Francesca Maggioni & Daniel Faccini, 2022. "A Stackelberg game for the Italian tax evasion problem," Computational Management Science, Springer, vol. 19(2), pages 295-307, June.
    6. Fandel, G. & Trockel, J., 2013. "Avoiding non-optimal management decisions by applying a three-person inspection game," European Journal of Operational Research, Elsevier, vol. 226(1), pages 85-93.
    7. Jack Hirshleifer & Eric Rasmusen, 1992. "Are Equilibrium Strategies Unaffected by Incentives?," Journal of Theoretical Politics, , vol. 4(3), pages 353-367, July.
    8. Yasuhiro Shirata, 2012. "The evolution of fairness under an assortative matching rule in the ultimatum game," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 1-21, February.
    9. A. Antoci & S. Borghesi & G. Iannucci, 2016. "Green licenses and environmental corruption: a random matching model," Working Paper CRENoS 201615, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    10. Christos N. Dimitriadis & Evangelos G. Tsimopoulos & Michael C. Georgiadis, 2021. "A Review on the Complementarity Modelling in Competitive Electricity Markets," Energies, MDPI, vol. 14(21), pages 1-27, November.
    11. Mateusz Zawisza & Bogumił Kamiński, 2013. "Price patterns in an oligopoly with switching cost and uncertain demand," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 23(3), pages 71-89.
    12. Jürgen Jost & Wei Li, 2008. "Learning, Evolution And Population Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 901-926.
    13. Alejandro N√∫nez Arroyo, 2018. "Information seeking with selective memory," Documentos CEDE 17131, Universidad de los Andes, Facultad de Economía, CEDE.
    14. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    15. Ehud Guttel & Barak Medina, 2007. "Less Crime, More (Vulnerable) Victims: Game Theory and the Distributional Effects of Criminal Sanctions," Levine's Bibliography 122247000000001799, UCLA Department of Economics.
    16. Viktória Kocsis, 2005. "Network Asymmetries and Access Pricing in Cellular Telecommunications," Tinbergen Institute Discussion Papers 05-085/1, Tinbergen Institute.
    17. Hsiao-Chi Chen & Shi-Miin Liu, 2017. "An Evolutionary Approach to International Environmental Agreements with Full Participation," RIEEM Discussion Paper Series 1702, Research Institute for Environmental Economics and Management, Waseda University.
    18. Jan Hanousek & Evžen Kočenda, 2011. "Learning by investing," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 19(1), pages 125-149, January.
    19. Munoz-Garcia Felix & Espinola-Arredondo Ana, 2011. "The Intuitive and Divinity Criterion: Interpretation and Step-by-Step Examples," Journal of Industrial Organization Education, De Gruyter, vol. 5(1), pages 1-20, March.
    20. Daniel G. Arce, 2007. "Is Agency Theory Self‐Activating?," Economic Inquiry, Western Economic Association International, vol. 45(4), pages 708-720, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:840-850. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.