14 citations · 49 across the 14 of their papers we have counts for
4 papers · 1 filter
On Computing the Shapley Value in Bankruptcy Games -llustrated by Rectified Linear Function Game-
Shunta Yamazaki, Tomomi Matsui
In this research, we discuss a problem of calculating the Shapley value in bankruptcy games. We show that the decision problem of computing the Shapley value in bankruptcy games is…
Monte Carlo Methods for Calculating Shapley-Shubik Power Index in Weighted Majority Games
Yuto Ushioda, Masato Tanaka, Tomomi Matsui
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 t…
Pseudo Polynomial Size LP Formulation for Calculating the Least Core Value of Weighted Voting Games
Masato Tanaka, Tomomi Matsui
In this paper, we propose a pseudo polynomial size LP formulation for finding a payoff vector in the least core of a weighted voting game. The numbers of variables and constraints…
Trading Transforms of Non-weighted Simple Games and Integer Weights of Weighted Simple Games
Akihiro Kawana, Tomomi Matsui
This study investigates simple games. A fundamental research question in this field is to determine necessary and sufficient conditions for a simple game to be a weighted majority…