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

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Author Info
Ballester, Coralio (Universitat Autònoma de Barcelona)
Calvó-Armengol, Antoni () (Department of Economics)
Zenou, Yves () (The Research Institute of Industrial Economics)

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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.

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Publisher Info
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

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Related research
Keywords: Social Networks; Crime; Centrality Measures; Key Group; Policies;

Other versions of this item:

Find related papers by 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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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  3. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March. [Downloadable!] (restricted)
  4. 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.
    Other versions:
  5. 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, 08. [Downloadable!] (restricted)
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  6. 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. [Downloadable!]
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  7. Kenneth Burdett & Ricardo Lagos & Randall Wright, 2003. "Crime, Inequality, and Unemployment," American Economic Review, American Economic Association, vol. 93(5), pages 1764-1777, December. [Downloadable!]
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  8. 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, 08. [Downloadable!] (restricted)
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  9. 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. [Downloadable!]
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  10. 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. [Downloadable!] (restricted)
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  12. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Blackwell Publishing, vol. 68(2), pages 235-60, April.
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  14. Edward L. Glaeser & Bruce I. Sacerdote & Jose A. Scheinkman, 2003. "The Social Multiplier," Journal of the European Economic Association, MIT Press, vol. 1(2-3), pages 345-353, 04/05. [Downloadable!] (restricted)
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  15. Garoupa, Nuno, 1997. " The Theory of Optimal Law Enforcement," Journal of Economic Surveys, Blackwell Publishing, vol. 11(3), pages 267-95, September. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Calvó-Armengol, Antoni & Verdier, Thierry & Zenou, Yves, 2006. "Strong and Weak Ties in Employment and Crime," CEPR Discussion Papers 5448, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  2. Zenou, Yves, 2005. "Crime, Location and the Housing Market," Working Paper Series 651, Research Institute of Industrial Economics. [Downloadable!]
    Other versions:
  3. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2005. "Who’s Who in Networks. Wanted: The Key Player," CEPR Discussion Papers 5329, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
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