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Optimally biased Tullock contests

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  • Deng, Shanglyu
  • Fu, Qiang
  • Wu, Zenan

Abstract

This paper examines optimally biased Tullock contests. We consider a multi-player Tullock contest in which players differ in their prize valuations. The designer is allowed to impose identity-dependent treatments – i.e., multiplicative biases – to vary their relative competitiveness. The literature has been limited, because a closed-form solution to the equilibrium is in general unavailable when the number of contestants exceeds two, which nullifies the usual implicit programming approach. We develop an algorithmic technique adapted from the general approach of Fu and Wu (2020) and obtain a closed-form solution to the optimum that addresses a broad array of design objectives. We further analyze a resource allocation problem in a research tournament and adapt Fu and Wu’s (2020) approach to this noncanonical setting. Our analysis paves the way for future research in this vein.

Suggested Citation

  • Deng, Shanglyu & Fu, Qiang & Wu, Zenan, 2021. "Optimally biased Tullock contests," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 10-21.
    • Handle: RePEc:eee:mateco:v:92:y:2021:i:c:p:10-21
    DOI: 10.1016/j.jmateco.2020.10.004
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    References listed on IDEAS

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    Cited by:

    1. Li, Bo & Wu, Zenan & Xing, Zeyu, 2023. "Optimally biased contests with draws," Economics Letters, Elsevier, vol. 226(C).
    2. Lu, Jingfeng & Wang, Zhewei & Zhou, Lixue, 2022. "Optimal favoritism in contests with identity-contingent prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 196(C), pages 40-50.
    3. Edith Elkind & Abheek Ghosh & Paul Goldberg, 2022. "Contests to Incentivize a Target Group," Papers 2204.14051, arXiv.org.

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