Delinquent Networks

46 Pages Posted: 15 Jul 2009

See all articles by Coralio Ballester

Coralio Ballester

Universidad de Alicante

Antoni Calvó-Armengol

Autonomous University of Barcelona; Centre de Recherche en Économie Appliquée (CREA)

Yves Zenou

Monash University - Department of Economics; Research Institute of Industrial Economics (IUI); IZA Institute of Labor Economics; Centre for Economic Policy Research (CEPR); Stockholm University

Multiple version iconThere are 2 versions of this paper

Date Written: May 2009

Abstract

Delinquents are embedded in a network of relationships. Social ties among delinquents are modelled by means of a graph where delinquents compete for a booty and benefit from local interactions with their neighbors. Each delinquent decides in a non-cooperative way how much delinquency effort he will exert. Using the network model developed by Ballester et al. (2006), we characterize the Nash equilibrium and derive an optimal enforcement policy, called the key-player policy, which targets the delinquent who, once removed, leads to the highest aggregate delinquency reduction. We then extend our characterization of optimal single player network removal for delinquency reduction, the key player, to optimal group removal, the key group. We also characterize and derive a policy that targets links rather than players. Finally, we endogenize the network connecting delinquents by allowing players to join the labor market instead of committing delinquent offenses. The key-player policy turns out to be much more complex since it depends on wages and on the structure of the network.

Keywords: Crime policies, Delinquency decision, Key group, NP-hard problem, Social networks

JEL Classification: A14, C72, K42, L14

Suggested Citation

Ballester, Coralio and Calvó-Armengol, Antoni and Zenou, Yves, Delinquent Networks (May 2009). CEPR Discussion Paper No. DP7293, Available at SSRN: https://ssrn.com/abstract=1433888

Coralio Ballester

Universidad de Alicante ( email )

Campus de San Vicente
Carretera San Vicente del Raspeig
San Vicente del Raspeig, Alicante 03690
Spain

Antoni Calvó-Armengol

Autonomous University of Barcelona

Plaça Cívica
Cerdañola del Valles
Barcelona, Barcelona 08193
Spain

Centre de Recherche en Économie Appliquée (CREA)

Campus Limpertsberg
162A, avenue de la Faïencerie
Luxembourg, 1511
Luxembourg

Yves Zenou (Contact Author)

Monash University - Department of Economics ( email )

Australia

Research Institute of Industrial Economics (IUI) ( email )

P.O. Box 5501
S-114 85 Stockholm
Sweden

IZA Institute of Labor Economics

P.O. Box 7240
Bonn, D-53072
Germany

Centre for Economic Policy Research (CEPR)

London
United Kingdom

Stockholm University ( email )

Universitetsvägen 10
Stockholm, Stockholm SE-106 91
Sweden

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