vix.ing · top · new · best · stats · spec

Approximation of Banzhaf indices and its application to voting games

2018/01/21 by Krishna V. Acharya, Acharya, Krishna V., Himadri Mukherjee +3
Decision Sciences · Economics, Econometrics and Finance · Social Sciences · #62P20 #91A40 #91A80 #91B82 #97M40 #Combinatorics (math.CO) #Electoral Systems and Political Participation #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems

paper · pdf · doi:10.48550/arxiv.1801.08029

openalex publication_date 2018/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose an improved version of the power index related to the Banzhaf power index for weighted voting systems. This index now takes into account the mutual persuasion power matrix(PPM) existing among the voters. This improved index is calculated for European Union voting by basing the PPM on immigration data among the EU countries. We also provide better approximation bounds for the Monte Carlo approximation method for computing power indices.

Related