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Overcoming Free-Riding in Bandit Games

Author

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  • Johannes Hörner

  • Nicolas Klein

  • Sven Rady

Abstract

This paper considers a class of experimentation games with Lévy bandits encompassing those of Bolton and Harris (1999) and Keller, Rady and Cripps (2005). Its main result is that efficient (perfect Bayesian) equilibria exist whenever players’ payoffs have a diffusion component. Hence, the trade-offs emphasized in the literature do not rely on the intrinsic nature of bandit models but on the commonly adopted solution concept (Markov perfect equilibrium). This is not an artifact of continuous time: we prove that efficient equilibria arise as limits of equilibria in the discrete-time game. Furthermore, it suffices to relax the solution concept to strongly symmetric equilibrium.

Suggested Citation

  • Johannes Hörner & Nicolas Klein & Sven Rady, 2020. "Overcoming Free-Riding in Bandit Games," CRC TR 224 Discussion Paper Series crctr224_2019_135v2, University of Bonn and University of Mannheim, Germany.
    • Handle: RePEc:bon:boncrc:crctr224_2019_135v2
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    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp135
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    Cited by:

    1. Hwang, Ilwoo, 2023. "Policy experimentation with repeated elections," Games and Economic Behavior, Elsevier, vol. 142(C), pages 623-644.
    2. Doruk Cetemen & Can Urgun & Leeat Yariv, 2023. "Collective Progress: Dynamics of Exit Waves," Journal of Political Economy, University of Chicago Press, vol. 131(9), pages 2402-2450.

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    Keywords

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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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