Work

The three-player lowest unique number game

Year: 2025
Type: article
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 . • Three-player Unique Number Game. • Analytical characterization of symmetric equilibrium. • Equivalence to dynamic exit games.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,030
OpenAlex ID: W4408938182
FWCI:
Cites: 4
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Related to: 10