IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i12p2926-2936.html
   My bibliography  Save this article

A triangle model of criminality

Author

Listed:
  • Nuño, Juan C.
  • Herrero, Miguel A.
  • Primicerio, Mario

Abstract

This paper is concerned with a quantitative model describing the interaction of three sociological species, termed as owners, criminals and security guards, and denoted by X, Y and Z respectively. In our model, Y is a predator of the species X, and so is Z with respect to Y. Moreover, Z can also be thought of as a predator of X, since this last population is required to bear the costs of maintaining Z.

Suggested Citation

  • Nuño, Juan C. & Herrero, Miguel A. & Primicerio, Mario, 2008. "A triangle model of criminality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2926-2936.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2926-2936
    DOI: 10.1016/j.physa.2008.01.076
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710800112X
    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.2008.01.076?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. Edward L. Glaeser & Bruce Sacerdote & José A. Scheinkman, 1996. "Crime and Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 507-548.
    2. Usher, Dan, 1989. "The Dynastic Cycle and the Stationary State," American Economic Review, American Economic Association, vol. 79(5), pages 1031-1044, December.
    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. Ganguly, Prasangsha & Mukherjee, Sayanti, 2021. "A multifaceted risk assessment approach using statistical learning to evaluate socio-environmental factors associated with regional felony and misdemeanor rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    2. Tripathi, Jai Prakash & Bugalia, Sarita & Burdak, Kavita & Abbas, Syed, 2021. "Dynamical analysis and effects of law enforcement in a social interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    3. Sooknanan, Joanna & Seemungal, Terence A.R., 2023. "Criminals and their models - a review of epidemiological models describing criminal behaviour," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    4. Bansal, Komal & Mathur, Trilok & Agarwal, Shivi, 2023. "Fractional-order crime propagation model with non-linear transmission rate," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Alves, Luiz G.A. & Ribeiro, Haroldo V. & Mendes, Renio S., 2013. "Scaling laws in the dynamics of crime growth rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2672-2679.
    6. 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.
    7. Yuri M. Zhukov, 2014. "Theory of Indiscriminate Violence," Working Paper 365551, Harvard University OpenScholar.
    8. Aliyu, Major Murtala Bello & Baidu, Ali Audu & Abdulhamid, Bala Ma’aji & Ibrahim, Mohammed Olanrewaju & Mukhtar, Fu’ad Muhammad, 2023. "Assessing the impact of escalating attacks on soft targets by criminal gang: A modelling viewpoint using bifurcation analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 122-137.
    9. Isabella Torcicollo & Maria Vitiello, 2024. "Turing Instability and Spatial Pattern Formation in a Model of Urban Crime," Mathematics, MDPI, vol. 12(7), pages 1-15, April.

    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. Mehlum, Halvor & Moene, Karl & Torvik, Ragnar, 2005. "Crime induced poverty traps," Journal of Development Economics, Elsevier, vol. 77(2), pages 325-340, August.
    2. Huw Lloyd-Ellis & Nicolas Marceau, 1998. "Getting Over the Hump: A Theory of Crime, Credit and Accumulation," Cahiers de recherche CREFE / CREFE Working Papers 65, CREFE, Université du Québec à Montréal.
    3. Lloyd-Ellis, Huw & Marceau, Nicolas, 2003. "Endogenous insecurity and economic development," Journal of Development Economics, Elsevier, vol. 72(1), pages 1-29, October.
    4. Marceau, Nicolas & Mongrain, Steeve, 2011. "Competition in law enforcement and capital allocation," Journal of Urban Economics, Elsevier, vol. 69(1), pages 136-147, January.
    5. Daron Acemoglu & Matthew O. Jackson, 2017. "Social Norms and the Enforcement of Laws," Journal of the European Economic Association, European Economic Association, vol. 15(2), pages 245-295.
    6. Entorf, Horst & Spengler, Hannes, 2000. "Socioeconomic and demographic factors of crime in Germany: Evidence from panel data of the German states," International Review of Law and Economics, Elsevier, vol. 20(1), pages 75-106, March.
    7. Bryan A. Stuart & Evan J. Taylor, 2021. "Migration Networks and Location Decisions: Evidence from US Mass Migration," American Economic Journal: Applied Economics, American Economic Association, vol. 13(3), pages 134-175, July.
    8. Fishman, Arthur & Fishman, Ram & Gneezy, Uri, 2019. "A tale of two food stands: Observational learning in the field," Journal of Economic Behavior & Organization, Elsevier, vol. 159(C), pages 101-108.
    9. Steven N. Durlauf & Ananth Seshadri, 2003. "Is assortative matching efficient?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 475-493, March.
    10. Pfeiffer, Lisa & Lin, C.-Y. Cynthia, 2012. "Groundwater pumping and spatial externalities in agriculture," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 16-30.
    11. Harrison, Mark, 2013. "Accounting for Secrets," The Journal of Economic History, Cambridge University Press, vol. 73(4), pages 1017-1049, December.
    12. Steven N. Durlauf, 1996. "Statistical Mechanics Approaches to Socioeconomic Behavior," NBER Technical Working Papers 0203, National Bureau of Economic Research, Inc.
    13. Duclos, Jean-Yves, 2006. "Liberté ou égalité?," L'Actualité Economique, Société Canadienne de Science Economique, vol. 82(4), pages 441-476, décembre.
    14. Pauline Grosjean & Claudia Senik, 2011. "Democracy, Market Liberalization, and Political Preferences," The Review of Economics and Statistics, MIT Press, vol. 93(1), pages 365-381, February.
    15. Jin, Justin & Nainar, Khalid & Sun, Chenwei, 2022. "Bank non-performing loans, loan charge-offs, and crime incidence," Finance Research Letters, Elsevier, vol. 49(C).
    16. Andreia Tolciu, 2010. "The Economics of Social Interactions: An Interdisciplinary Ground for Social Scientists?," Forum for Social Economics, Taylor & Francis Journals, vol. 39(3), pages 223-242, January.
    17. Mirta B. Gordon & Jean-Pierre Nadal & Denis Phan & Viktoriya Semeshenko, 2012. "Entanglement between Demand and Supply in Markets with Bandwagon Goods," Papers 1209.1321, arXiv.org, revised Dec 2012.
    18. Giulio Zanella, 2004. "Discrete Choice with Social Interactions and Endogenous Memberships," Department of Economics University of Siena 442, Department of Economics, University of Siena.
    19. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves & Lee, Lung-Fei, 2011. "Criminal Networks: Who is the Key Player?," Research Papers in Economics 2011:7, Stockholm University, Department of Economics.
    20. Joshua M. Epstein, 2007. "Agent-Based Computational Models and Generative Social Science," Introductory Chapters, in: Generative Social Science Studies in Agent-Based Computational Modeling, Princeton University Press.

    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:387:y:2008:i:12:p:2926-2936. 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.