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

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.

preprint2021arXivOpen access
Yuto UshiodaMasato TanakaTomomi Matsui
Computer Science and Game Theory
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Yuto UshiodaMasato TanakaTomomi Matsui

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