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

  • Ballester, Coralio

    (Universitat Autònoma de Barcelona)

  • Calvó-Armengol, Antoni

    ()

    (Department of Economics)

  • Zenou, Yves

    ()

    (The Research Institute of Industrial Economics)

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.

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Paper provided by Research Institute of Industrial Economics in its series Working Paper Series with number 617.

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Length: 29 pages
Date of creation: 29 Mar 2004
Date of revision:
Handle: RePEc:hhs:iuiwop:0617
Contact details of provider: Postal: Research Institute of Industrial Economics, Box 55665, SE-102 15 Stockholm, Sweden
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  1. Imrohoroglu, Ayse & Merlo, Antonio & Rupert, Peter, 1996. "On the political economy of income redistribution and crime," Bulletins 7497, University of Minnesota, Economic Development Center.
  2. 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, 08.
  3. Anne C. Case & Lawrence F. Katz, 1991. "The Company You Keep: The Effects of Family and Neighborhood on Disadvantaged Youths," NBER Working Papers 3705, National Bureau of Economic Research, Inc.
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  5. Brock,W.A. & Durlauf,S.N., 2000. "Discrete choice with social interactions," Working papers 7, Wisconsin Madison - Social Systems.
  6. Verdier, T. & Zenou, Y., 2001. "Racial beliefs, location and the causes of crime," Discussion Paper Series In Economics And Econometrics 0101, Economics Division, School of Social Sciences, University of Southampton.
  7. Gary S. Becker, 1968. "Crime and Punishment: An Economic Approach," Journal of Political Economy, University of Chicago Press, vol. 76, pages 169.
  8. Garoupa, Nuno, 1997. " The Theory of Optimal Law Enforcement," Journal of Economic Surveys, Wiley Blackwell, vol. 11(3), pages 267-95, September.
  9. Patrick J. Bayer & Randi Pintoff & David Emanuel Pozen, 2004. "Building Criminal Capital Behind Bars: Social Learning in Juvenile Corrections," Yale School of Management Working Papers ysm418, Yale School of Management.
  10. Kenneth Burdett & Ricardo Lagos & Randall Wright, 2002. "Crime, Inequality, and Unemployment, Second Version," PIER Working Paper Archive 03-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Sep 2003.
  11. A. Mitchell Polinsky & Steven Shavell, 1999. "The Economic Theory of Public Enforcement of Law," NBER Working Papers 6993, National Bureau of Economic Research, Inc.
  12. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
  13. Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2002. "The Social Multiplier," Harvard Institute of Economic Research Working Papers 1968, Harvard - Institute of Economic Research.
  14. Calvó-Armengol, Antoni & Zenou, Yves, 2003. "Social Networks and Crime Decisions: The Role of Social Structure in Facilitating Delinquent Behaviour," CEPR Discussion Papers 3966, C.E.P.R. Discussion Papers.
  15. Chien-Chieh Huang & Derek Laing & Ping Wang, 2004. "Crime And Poverty: A Search-Theoretic Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(3), pages 909-938, 08.
  16. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
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