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A contest success function for networks

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  • Bozbay, Irem
  • Vesperoni, Alberto

Abstract

This paper models conflict as a contest within a network of friendships and enmities. We assume that each player is either in a friendly or in an antagonistic relation with every other player and players compete for winning by exerting costly efforts. We axiomatically characterize a success function which determines the win probability of each player given the efforts and the network of relations. In an extension, we allow for varying intensities of friendships and enmities. This framework allows for the study of strategic incentives and friendship formation under conflict as well as the application of stability concepts of network theory to contests.

Suggested Citation

  • Bozbay, Irem & Vesperoni, Alberto, 2018. "A contest success function for networks," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 404-422.
    • Handle: RePEc:eee:jeborg:v:150:y:2018:i:c:p:404-422
    DOI: 10.1016/j.jebo.2018.01.022
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    2. López-Pintado, Dunia & Meléndez-Jiménez, Miguel A., 2021. "Far above others," Journal of Economic Theory, Elsevier, vol. 198(C).
      • Dunia López-Pintado & Miguel A. Meléndez-Jiménez, 2018. "Far above others," Working Papers 18.12, Universidad Pablo de Olavide, Department of Economics.
    3. Ewerhart, Christian & Valkanova, Kremena, 2020. "Fictitious play in networks," Games and Economic Behavior, Elsevier, vol. 123(C), pages 182-206.
    4. Christian Ewerhart, 2015. "Contest success functions: the common-pool perspective," ECON - Working Papers 195, Department of Economics - University of Zurich.
    5. Kjell Hausken, 2021. "Axiomatizing additive multi-effort contests," SN Business & Economics, Springer, vol. 1(11), pages 1-12, November.
    6. Cubel, María & Sanchez-Pages, Santiago, 2016. "An axiomatization of difference-form contest success functions," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 92-105.
    7. Send, Jonas, 2020. "Conflict between non-exclusive groups," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 858-874.
    8. Cai, Xinyue & Kimya, Mert, 2023. "Stability of alliance networks," Games and Economic Behavior, Elsevier, vol. 140(C), pages 401-409.
    9. Friedhelm Hentschel, 2022. "Third-party intervention in secessions," Economics of Governance, Springer, vol. 23(1), pages 65-82, March.
    10. Kjell Hausken, 2020. "Additive multi-effort contests," Theory and Decision, Springer, vol. 89(2), pages 203-248, September.
    11. Huang, Ying & Jiao, Qian & Shen, Bo & Sun, Xiang, 2023. "Conflicts in regular networks," Journal of Mathematical Economics, Elsevier, vol. 106(C).

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    More about this item

    Keywords

    Conflict; Contest; Success function; Network; Pairwise stability;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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