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A revision game of experimentation on a common threshold

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  • Chen, Yi

Abstract

A revision game of experimentation is examined in which players search for an unknown threshold. Each player encounters individual random opportunities to revise her own action. Lower action saves flow cost, but the player whose action falls below the threshold suffers a costly breakdown and exits the game. The set of symmetric pure-strategy Markov equilibria has a simple characterization. The difference between these equilibria vanishes as the revision opportunity becomes infinitely frequent. In all such equilibria, players revise actions gradually over time and, absent breakdowns, settle asymptotically. The asymptotic level of actions decreases with the patience of the players, and the speed of decline in actions decreases with the number of players. In equilibrium, the endogenous arrival rate of breakdown is decreasing over time. The model extends to incorporate collateral damage from breakdowns, where two competing externalities jointly shape the dynamics.

Suggested Citation

  • Chen, Yi, 2020. "A revision game of experimentation on a common threshold," Journal of Economic Theory, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:jetheo:v:186:y:2020:i:c:s0022053120300053
    DOI: 10.1016/j.jet.2020.104997
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    Cited by:

    1. Matros, Alexander & Ponomareva, Natalia & Smirnov, Vladimir & Wait, Andrew, 2022. "Search without looking," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

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    More about this item

    Keywords

    Experimentation; Free-riding; Markov perfect equilibrium; Information externality; Revision game;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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