Simple games with minimum

D. Samaniego Vidal, S. Kurz

Every simple game is a monotone Boolean function. For the other direction we just have to exclude the two constant functions. Here we consider simple games with minimum, i.e., simple games with a unique minimal winning vector. We present enumeration formulas for the number of inequivalent simple games with minimum.

Keywords: boolean functions, enumerations, monotonic simple games,

Game Theory
June 12, 2025  7:00 PM
Mr 2

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