Monte Carlo Methods for the Shapley–Shubik Power Index

This paper deals with the problem of calculating the Shapley–Shubik power index in weighted majority games. We propose an efficient Monte Carlo algorithm based on an implicit hierarchical structure of permutations of players. Our algorithm outputs a vector of power indices preserving the monotonicit...

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Bibliographic Details
Main Authors: Yuto Ushioda, Masato Tanaka, Tomomi Matsui
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Games
Subjects:
Online Access:https://www.mdpi.com/2073-4336/13/3/44