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Targeting the Key Player: An Incentive-Based Approach

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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," AMSE Working Papers 1804, Aix-Marseille School of Economics, France.
    • Handle: RePEc:aim:wpaimx:1804
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    References listed on IDEAS

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    1. Demange, Gabrielle, 2017. "Optimal targeting strategies in a network under complementarities," Games and Economic Behavior, Elsevier, vol. 105(C), pages 84-103.
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    12. 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.
    13. Mariagiovanna Baccara & Heski Bar-Isaac, 2008. "How to Organize Crime -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1039-1067.
    14. Mohamed Belhaj & Frédéric Deroïan, 2015. "Contracting on Networks," Working Papers halshs-01102403, HAL.
    15. 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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    17. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
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    Cited by:

    1. Marc Claveria-Mayol, 2024. "Moral Hazard with Network Effects," Papers 2406.11660, arXiv.org.
    2. Belhaj, Mohamed & Deroïan, Frédéric & Safi, Shahir, 2023. "Targeting in networks under costly agreements," Games and Economic Behavior, Elsevier, vol. 140(C), pages 154-172.
    3. Sun, Yang & Zhao, Wei, 2024. "Relative performance evaluation in spillover networks," Games and Economic Behavior, Elsevier, vol. 145(C), pages 285-311.
    4. Li, Jian & Zhou, Junjie & Chen, Ying-Ju, 2021. "The Limit of Targeting in Networks," ISU General Staff Papers 202112081957590000, Iowa State University, Department of Economics.
    5. Mohamed Belhaj & Frédéric Deroïan & Shahir Safi, 2020. "Costly agreement-based transfers and targeting on networks with synergies," Working Papers halshs-02558397, HAL.
    6. Li, Jian & Zhou, Junjie & Chen, Ying-Ju, 2022. "The limit of targeting in networks," Journal of Economic Theory, Elsevier, vol. 201(C).

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    More about this item

    Keywords

    key player; Network; Linear Interaction; incentives; contract; limited budget;
    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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