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A Model of Competing Gangs in Networks

Author

Listed:
  • Alexis Poindron

    (Unité d’Économie Appliquée, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France)

  • Nizar Allouch

    (School of Economics, University of Kent, Canterbury CT2 7NZ, UK)

Abstract

Two groups produce a network good perceived by a third party, such as a police or military institution, as a ‘public bad’, referred to as ‘crime’ for simplicity. These two groups, considered mafias, are assumed to be antagonists, whether they are enemies or competitors in the same market, causing harm to each other’s activities. This paper provides guidelines for the policymaker, typically the police, seeking to minimize overall crime levels by internalizing these negative externalities. One specific question is investigated: the allocation of resources for the police. In general, we recommend a balanced crackdown on both antagonists, but an imbalance in group sizes may lead the police to focus on the more criminal group.

Suggested Citation

  • Alexis Poindron & Nizar Allouch, 2024. "A Model of Competing Gangs in Networks," Games, MDPI, vol. 15(2), pages 1-15, February.
    • Handle: RePEc:gam:jgames:v:15:y:2024:i:2:p:6-:d:1342972
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    References listed on IDEAS

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    1. Francis Bloch & Gabrielle Demange & Rachel Kranton, 2018. "Rumors And Social Networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(2), pages 421-448, May.
    2. Grabisch, Michel & Rusinowska, Agnieszka, 2013. "A model of influence based on aggregation functions," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 316-330.
    3. Galam, Serge & Jacobs, Frans, 2007. "The role of inflexible minorities in the breaking of democratic opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 366-376.
    4. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    5. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
    6. Collier, Paul & Hoeffler, Anke, 1998. "On Economic Causes of Civil War," Oxford Economic Papers, Oxford University Press, vol. 50(4), pages 563-573, October.
    7. 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.
    8. Hellmann, Tim & Panebianco, Fabrizio, 2018. "The transmission of continuous cultural traits in endogenous social networks," Center for Mathematical Economics Working Papers 579, Center for Mathematical Economics, Bielefeld University.
    9. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-1085, September.
    10. Jean-Paul Azam & Véronique Thelen, 2008. "The roles of foreign aid and education in the war on terror," Public Choice, Springer, vol. 135(3), pages 375-397, June.
    11. Peter M. DeMarzo & Dimitri Vayanos & Jeffrey Zwiebel, 2003. "Persuasion Bias, Social Influence, and Unidimensional Opinions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(3), pages 909-968.
    12. Yann Bramoullé & Dunia López-Pintado & Sanjeev Goyal & Fernando Vega-Redondo, 2004. "Network formation and anti-coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 1-19, January.
    13. Cabrales, Antonio & Calvó-Armengol, Antoni & Zenou, Yves, 2011. "Social interactions and spillovers," Games and Economic Behavior, Elsevier, vol. 72(2), pages 339-360, June.
    14. Wolfgang Buchholz & Richard Cornes & Dirk Rübbelke, 2018. "Public goods and public bads," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 525-540, August.
    15. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    16. Jean-Paul Azam, 2012. "Why suicide-terrorists get educated, and what to do about it," Public Choice, Springer, vol. 153(3), pages 357-373, December.
    17. Nizar Allouch & A. Meca & K. Polotskaya, 2021. "The Bonacich Shapley centrality," Studies in Economics 2106, School of Economics, University of Kent.
    18. René Brink & Frank Steffen, 2008. "Positional Power in Hierarchies," Springer Books, in: Matthew Braham & Frank Steffen (ed.), Power, Freedom, and Voting, chapter 4, pages 57-81, Springer.
    19. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
    20. Hellmann, T. & Panebianco, F., 2018. "The transmission of continuous cultural traits in endogenous social networks," Economics Letters, Elsevier, vol. 167(C), pages 51-55.
    21. Harrie de Swart & Agnieszka Rusinowska, 2007. "On some properties of the Hoede-Bakker index," Post-Print halshs-00201414, HAL.
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