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The three-player lowest unique number game

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  • Sentes, Balázs

Abstract

This paper characterizes the unique symmetric mixed-strategy Nash equilibrium in the three-player version Lowest Unique Number Game. In this game, each player chooses a positive integer simultaneously and the player with the lowest unique number wins. The equilibrium mixing is shown to have full support and it is characterized by a constant hazard rate which is around .46.

Suggested Citation

  • Sentes, Balázs, 2025. "The three-player lowest unique number game," Economics Letters, Elsevier, vol. 251(C).
    • Handle: RePEc:eee:ecolet:v:251:y:2025:i:c:s0165176525001363
    DOI: 10.1016/j.econlet.2025.112299
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    References listed on IDEAS

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    1. Robert Östling & Joseph Tao-yi Wang & Eileen Y. Chou & Colin F. Camerer, 2011. "Testing Game Theory in the Field: Swedish LUPI Lottery Games," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 1-33, August.
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