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Who's Who in Crime Networks: Wanted - The Key Player

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  • Ballester, Coralio
  • Calvó-Armengol, Antoni
  • Zenou, Yves

Abstract

Criminals are embedded in a network of relationships. Social ties among criminals are modelled by means of a graph where criminals compete for a bounty and benefit from local interactions with their neighbours. Each criminal decides in a non-cooperative way how much crime effort they will exert. We show that the Nash equilibrium crime effort of each individual is proportional to their equilibrium Bonacich-centrality in the network, thus establishing a bridge to the sociology literature on social networks. We then analyse 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 their 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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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4421.

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Date of creation: Jun 2004
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Handle: RePEc:cpr:ceprdp:4421

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Keywords: centrality measures; crime; key group; policies; social networks;

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References

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Citations

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Cited by:
  1. 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.
  2. Sergio Currarini & Elena Fumagalli & Fabrizio Panebianco, 2013. "Games on Networks: Direct Complements and Indirect Substitutes," Working Papers 2013.04, Fondazione Eni Enrico Mattei.
  3. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008. "Network Games," Economics Working Papers ECO2008/07, European University Institute.
    • 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.
  4. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2004. "Who's Who in Networks. Wanted: The Key Player," Working Papers 178, Barcelona Graduate School of Economics.
  5. Zenou, Yves, 2005. "Crime, Location and the Housing Market," CEPR Discussion Papers 5389, C.E.P.R. Discussion Papers.
  6. Sudipta Sarangi & Emre Unlu, . "Key Players and Key Groups in Teams," Departmental Working Papers 2011-10, Department of Economics, Louisiana State University.
  7. 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.

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