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Who's Who in Crime Network. Wanted the Key Player

Author

Listed:
  • Ballester, Coralio

    (Universitat Autònoma de Barcelona)

  • Calvó-Armengol, Antoni

    () (Department of Economics)

  • Zenou, Yves

    () (The Research Institute of Industrial Economics)

Abstract

Criminals are embedded in a network of relationships. Social ties among criminals are modeled by means of a graph where criminals compete for a booty and benefit from local interactions with their neighbours. Each criminal decides in a non-cooperative way how much crime effort he will exert. We show that the Nash equilibrium crime effort of each individual is proportional to his equilibrium Bonacich-centrality in the network, thus establishing a bridge to the sociology literature on social networks. We then analyze a policy that consists of finding and getting rid of the key player, that is, the criminal who, once removed, leads to the maximum reduction in aggregate crime. We provide a geometric characterization of the key player identified with an optimal inter-centrality measure, which takes into account both a player's centrality and his contribution to the centrality of the others. We also provide a geometric characterization of the key group, which generalizes the key player for a group of criminals of a given size. We finally endogeneize the crime participation decision, resulting in a key player policy, which effectiveness depends on the outside opportunities available to criminals.

Suggested Citation

  • Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2004. "Who's Who in Crime Network. Wanted the Key Player," Working Paper Series 617, Research Institute of Industrial Economics.
  • Handle: RePEc:hhs:iuiwop:0617
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    References listed on IDEAS

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    1. Patrick Bayer & Randi Pintoff & David E. Pozen, 2003. "Building Criminal Capital Behind Bars: Social Learning in Juvenile Corrections," Working Papers 864, Economic Growth Center, Yale University.
    2. Imrohoroglu, Ayse & Merlo, Antonio & Rupert, Peter, 2000. "On the Political Economy of Income Redistribution and Crime," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 1-25, February.
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    8. Thierry Verdier & Yves Zenou, 2004. "Racial Beliefs, Location, And The Causes Of Crime," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 731-760, August.
    9. Lance Lochner, 2004. "Education, Work, And Crime: A Human Capital Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 811-843, August.
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    11. Kenneth Burdett & Ricardo Lagos & Randall Wright, 2003. "Crime, Inequality, and Unemployment," American Economic Review, American Economic Association, vol. 93(5), pages 1764-1777, December.
    12. Antoni Calvó-Armengol & Yves Zenou, 2004. "Social Networks And Crime Decisions: The Role Of Social Structure In Facilitating Delinquent Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 939-958, August.
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    Citations

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    Cited by:

    1. Sergio Currarini, & Elena Fumagalli & Fabrizio Panebianco, 2012. "Games on Networks: Direct Complements and Indirect Substitutes," Discussion Papers in Economics 13/04, Department of Economics, University of Leicester.
    2. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
    3. Sudipta Sarangi & Emre Unlu, 2011. "Key Players and Key Groups in Teams," Departmental Working Papers 2011-10, Department of Economics, Louisiana State University.
    4. Jan K. Brueckner & Oleg Smirnov, 2004. "Workings of the Melting Pot: Social Networks and the Evolution of Population Attributes," CESifo Working Paper Series 1320, CESifo Group Munich.
    5. Calvo-Armengol, Antoni & Verdier, Thierry & Zenou, Yves, 2007. "Strong and weak ties in employment and crime," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 203-233, February.
    6. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 218-244.
    7. Zenou, Yves, 2005. "Crime, Location and the Housing Market," Working Paper Series 651, Research Institute of Industrial Economics.
    8. Patacchini, Eleonora & Zenou, Yves, 2008. "The strength of weak ties in crime," European Economic Review, Elsevier, vol. 52(2), pages 209-236, February.
    9. Umed Temurshoev, 2008. "Who's Who in Networks. Wanted: the Key Group," Working Papers 08-08, NET Institute, revised Sep 2008.

    More about this item

    Keywords

    Social Networks; Crime; Centrality Measures; Key Group; Policies;

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • K42 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Illegal Behavior and the Enforcement of Law

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