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Targeting the Key Player: An Incentive-Based Approach

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  • Mohamed Belhaj

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université)

  • Frédéric Deroïan

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université)

Abstract

We consider a network game with local complementarities. A policymaker, aiming at minimizing or maximizing aggregate effort, contracts with a single agent on the network to trade effort change against transfer. The policymaker has to find the best agent and the optimal contract to offer. Our study shows that for all utilities with linear best-responses, it only takes two statistics about the position of each agent on the network to identify the key player: the Bonacich centrality and a weighted measure of the number of closed walks originating from the agent. We also characterize key players under linear quadratic utilities for various contractual arrangements.

Suggested Citation

  • Mohamed Belhaj & Frédéric Deroïan, 2018. "Targeting the Key Player: An Incentive-Based Approach," Working Papers halshs-01699849, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01699849
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01699849
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    References listed on IDEAS

    as
    1. Mohamed Belhaj & Frédéric Deroïan, 2015. "Contracting on Networks," Working Papers halshs-01102403, HAL.
    2. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2006. "Who's Who in Networks. Wanted: The Key Player," Econometrica, Econometric Society, vol. 74(5), pages 1403-1417, September.
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    5. Coralio Ballester & Antoni Calvó-Armengol & Yves Zenou, 2010. "Delinquent Networks," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 34-61, March.
    6. Demange, Gabrielle, 2017. "Optimal targeting strategies in a network under complementarities," Games and Economic Behavior, Elsevier, vol. 105(C), pages 84-103.
    7. Mariagiovanna Baccara & Heski Bar-Isaac, 2008. "How to Organize Crime -super-1," Review of Economic Studies, Oxford University Press, vol. 75(4), pages 1039-1067.
    8. Acemoglu, Daron & Malekian, Azarakhsh & Ozdaglar, Asu, 2016. "Network security and contagion," Journal of Economic Theory, Elsevier, vol. 166(C), pages 536-585.
    9. 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.
    10. Andrea Galeotti & Benjamin Golub & Sanjeev Goyal, 2020. "Targeting Interventions in Networks," Econometrica, Econometric Society, vol. 88(6), pages 2445-2471, November.
    11. Dziubiński, Marcin Konrad & Goyal, Sanjeev, 2017. "How do you defend a network?," Theoretical Economics, Econometric Society, vol. 12(1), January.
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    13. Zhou, Junjie & Chen, Ying-Ju, 2015. "Key leaders in social networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 212-235.
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    Cited by:

    1. Mohamed Belhaj & Frédéric Deroïan & Shahir Safi, 2020. "Costly agreement-based transfers and targeting on networks with synergies," Working Papers halshs-02558397, HAL.

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    More about this item

    Keywords

    limited budget; key player; network; linear interaction; incentives; contract;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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