Evolutionary Minority Game with Multiple Options

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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12 pages, 3 figures, submitted to PRE

Scientific paper

We propose and study an evolutionary minority game (EMG) in which the agents are allowed to choose among three possible options. Unlike the original EMG where the agents either win or lose one unit of wealth, the present model assigns one unit of wealth to the winners in the least popular option, deducts one unit from the losers in the most popular option, and awards $R$ ($-1R_{c}$, where $R_{c}(N)$ is a critical value for optimal performance of the system that drops to zero as the number of agents $N$ increases.

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