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arXiv · 2101.02841

Monte Carlo Methods for Calculating Shapley-Shubik Power Index in Weighted Majority Games

Yuto Ushioda·Masato Tanaka·Tomomi Matsui
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Abstract

This paper addresses Monte Carlo algorithms for calculating the Shapley-Shubik power index in weighted majority games. First, we analyze a naive Monte Carlo algorithm and discuss the required number of samples. We then propose an efficient Monte Carlo algorithm and show that our algorithm reduces the required number of samples as compared to the naive algorithm.

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Yuto Ushioda, Masato Tanaka, Tomomi Matsui. 2021-01-08. Monte Carlo Methods for Calculating Shapley-Shubik Power Index in Weighted Majority Games. https://doi.org/10.3390/g13030044

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