IDEAS home Printed from https://ideas.repec.org/a/bpj/rlecon/v15y2019i2p30n5.html
   My bibliography  Save this article

Gang Rivalry and Crime: A Differential Game Approach

Author

Listed:
  • Faria João Ricardo

    (Department of Economics, Florida Atlantic University, Boca Raton, FL33431, USA)

  • Mixon Franklin G.

    (Center for Economic Education, Columbus State University, Columbus, GA31907, USA)

  • Upadhyaya Ashish

    (School of Health Sciences, University of New Haven, West Haven, CT06516, USA)

  • Upadhyaya Kamal P.

    (Department of Economics, University of New Haven, West Haven, CT06516, USA)

Abstract

This study contributes to the modern literature on the economics of crime by proposing and solving two models of a differential game that considers the dynamic strategic behavior of two gangs engaged in a territorial conflict. The police force acts as the leader in the game. In the first model, each gang is concerned solely by the actions of the other, thus leading to an equilibrium wherein the greater one gang’s criminal activity, the greater the rival gang’s criminal activity. In the second model both gangs account primarily for police activities aimed at maintaining law and order, thus leading to an equilibrium wherein the gangs respond directly to the law enforcement activities of the police force. Exploratory analyses employing gang-related crime and police activities in Los Angeles provide empirical support for the main features of both models of the differential game, such as how gang rivalry fuels criminal activity and how the role of police is crucial in reducing gang-related crime.

Suggested Citation

  • Faria João Ricardo & Mixon Franklin G. & Upadhyaya Ashish & Upadhyaya Kamal P., 2019. "Gang Rivalry and Crime: A Differential Game Approach," Review of Law & Economics, De Gruyter, vol. 15(2), pages 1-30, July.
  • Handle: RePEc:bpj:rlecon:v:15:y:2019:i:2:p:30:n:5
    DOI: 10.1515/rle-2018-0017
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/rle-2018-0017
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.1515/rle-2018-0017?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters, in: Essays in the Economics of Crime and Punishment, pages 1-54, National Bureau of Economic Research, Inc.
    2. Stergios Skaperdas, 2001. "The political economy of organized crime: providing protection when the state does not," Economics of Governance, Springer, vol. 2(3), pages 173-202, November.
    3. Bar-Gill, Oren & Harel, Alon, 2001. "Crime Rates and Expected Sanctions: The Economics of Deterrence Revisited," The Journal of Legal Studies, University of Chicago Press, vol. 30(2), pages 485-501, Part I Ju.
    4. Granger, C. W. J. & Newbold, Paul, 1986. "Forecasting Economic Time Series," Elsevier Monographs, Elsevier, edition 2, number 9780122951831 edited by Shell, Karl.
    5. Friehe, Tim, 2013. "Tempting righteous citizens? Counterintuitive effects of increasing sanctions in the realm of organized crime," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 44(C), pages 37-40.
    6. Kahan, Dan M, 1998. "Social Meaning and the Economic Analysis of Crime," The Journal of Legal Studies, University of Chicago Press, vol. 27(2), pages 609-622, June.
    7. Adam Jacobsson & Alberto Naranjo, 2009. "Counter-intuitive effects of domestic law enforcement policies in the United States," Economics of Governance, Springer, vol. 10(4), pages 323-343, November.
    8. Luciano Andreozzi, 2004. "Rewarding Policemen Increases Crime. Another Surprising Result from the Inspection Game," Public Choice, Springer, vol. 121(1), pages 69-82, October.
    9. Akerlof, Robert, 2016. "Anger and enforcement," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PB), pages 110-124.
    10. Xie, Danyang, 1997. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Journal of Economic Theory, Elsevier, vol. 76(2), pages 412-430, October.
    11. Grogger, Jeffrey, 2002. "The Effects of Civil Gang Injunctions on Reported Violent Crime: Evidence from Los Angeles County," Journal of Law and Economics, University of Chicago Press, vol. 45(1), pages 69-90, April.
    12. Skarbek, David, 2012. "Prison gangs, norms, and organizations," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 96-109.
    13. Caulkins Jonathan P & Reuter Peter & Taylor Lowell J, 2006. "Can Supply Restrictions Lower Price? Violence, Drug Dealing and Positional Advantage," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 5(1), pages 1-20, January.
    14. Andrew Resignato, 2000. "Violent crime: a function of drug use or drug enforcement?," Applied Economics, Taylor & Francis Journals, vol. 32(6), pages 681-688.
    15. repec:wvu:wpaper:09-09 is not listed on IDEAS
    16. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    17. Roth, M. Garrett & Skarbek, David, 2014. "Prison Gangs and the Community Responsibility System," Review of Behavioral Economics, now publishers, vol. 1(3), pages 223-243, May.
    Full references (including those not matched with items on IDEAS)

    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. Flores, Daniel, 2016. "Violence and law enforcement in markets for illegal goods," International Review of Law and Economics, Elsevier, vol. 48(C), pages 77-87.
    2. Edward M. Shepard & Paul R. Blackely, 2010. "Economics of Crime and Drugs: Prohibition and Public Policies for Illicit Drug Control," Chapters, in: Bruce L. Benson & Paul R. Zimmerman (ed.), Handbook on the Economics of Crime, chapter 10, Edward Elgar Publishing.
    3. Ken Yahagi, 2018. "Welfare effects of forming a criminal organization," European Journal of Law and Economics, Springer, vol. 46(3), pages 359-375, December.
    4. Freire, Danilo, 2017. "Prison Gangs," SocArXiv kuqqx, Center for Open Science.
    5. Norgaard, Julia R. & Walbert, Harold J. & Hardy, R. August, 2018. "Shadow markets and hierarchies: comparing and modeling networks in the Dark Net," Journal of Institutional Economics, Cambridge University Press, vol. 14(5), pages 877-899, October.
    6. Miles Stan & Pyne Derek, 2017. "The Economics of Scams," Review of Law & Economics, De Gruyter, vol. 13(1), pages 1-18, March.
    7. Wallace, Rodrick & Fullilove, Robert E., 2014. "State policy and the political economy of criminal enterprise: mass incarceration and persistent organized hyperviolence in the USA," Structural Change and Economic Dynamics, Elsevier, vol. 31(C), pages 17-31.
    8. repec:pra:mprapa:113760 is not listed on IDEAS
    9. John Bone & Dominic Spengler, 2014. "Does Reporting Decrease Corruption?," Journal of Interdisciplinary Economics, , vol. 26(1-2), pages 161-186, January.
    10. Poret, Sylvaine, 2009. "An optimal anti-drug law enforcement policy," International Review of Law and Economics, Elsevier, vol. 29(3), pages 221-228, September.
    11. Paolo Pinotti, 2012. "The economic costs of organized crime: evidence from southern Italy," Temi di discussione (Economic working papers) 868, Bank of Italy, Economic Research and International Relations Area.
    12. Fluet, Claude & Galbiati, Rpbertp, 2016. "Lois et normes : les enseignements de l'économie comportementale," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 191-215, Mars-Juin.
    13. Mirko Draca & Stephen Machin & Robert Witt, 2011. "Panic on the Streets of London: Police, Crime, and the July 2005 Terror Attacks," American Economic Review, American Economic Association, vol. 101(5), pages 2157-2181, August.
    14. Motchenkova, Evgenia, 2008. "Determination of optimal penalties for antitrust violations in a dynamic setting," European Journal of Operational Research, Elsevier, vol. 189(1), pages 269-291, August.
    15. Roth, M. Garrett & Skarbek, David, 2014. "Prison Gangs and the Community Responsibility System," Review of Behavioral Economics, now publishers, vol. 1(3), pages 223-243, May.
    16. Christophe Bellégo & Joeffrey Drouard, 2019. "Does It Pay to Fight Crime? Evidence From the Pacification of Slums in Rio de Janeiro," Working Papers 2019-08, Center for Research in Economics and Statistics.
    17. Heller, William B. & Sieberg, Katri K., 2010. "Honor among thieves: Cooperation as a strategic response to functional unpleasantness," European Journal of Political Economy, Elsevier, vol. 26(3), pages 351-362, September.
    18. van der Weele Joël, 2012. "Beyond the State of Nature: Introducing Social Interactions in the Economic Model of Crime," Review of Law & Economics, De Gruyter, vol. 8(2), pages 401-432, October.
    19. Franklin G. Mixon, 2018. "Camaraderie, common pool congestion, and the optimal size of surf gangs," Economics of Governance, Springer, vol. 19(4), pages 381-396, November.
    20. Van Gorder, Robert A. & Caputo, Michael R., 2010. "Envelope theorems for locally differentiable open-loop Stackelberg equilibria of finite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1123-1139, June.
    21. Nathan Berg & Jeong-Yoo Kim, 2015. "Quantity Restrictions with Imperfect Enforcement in an Overused Commons: Permissive Regulation to Reduce Overuse?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 171(2), pages 308-329, June.

    More about this item

    Keywords

    gang-related crime; gang rivalry; police enforcement; differential games; economics of crime;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D00 - Microeconomics - - General - - - General
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law

    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:bpj:rlecon:v:15:y:2019:i:2:p:30:n:5. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.