A Population-centric Approach to the Beauty Contest Game
Marc Harper
TL;DR
This paper analyzes the p-beauty contest game across different population sizes, characterizing winning strategies based on iterative thinking relative to the population, revealing how the number of iterations influences success.
Contribution
It introduces a population-centric framework for understanding strategies in the p-beauty contest game across finite and infinite populations.
Findings
Winning strategies depend on iterating more than the population size.
Optimal iteration count varies with population size and p.
Strategies differ between two-player, finite, and infinite populations.
Abstract
An population-centric analysis for a version of the p-beauty contest game is given for the two-player, finite population, and infinite population cases. Winning strategies are characterized in terms of iterative thinking relative to the population. To win the game one needs to iterate more times than the ambient population, but not too many more times depending on the population size and the value of p.
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Taxonomy
TopicsGame Theory and Applications · Evolutionary Game Theory and Cooperation · Opinion Dynamics and Social Influence