Multiobjective Bimatrix Game with Fuzzy Payoffs and Its Solution Method using Necessity Measure and Weighted Tchebycheff Norm

Hitoshi Yano, Ichiro Nishizaki

2021

Abstract

In this paper, we propose an interactive algorithm for multiobjective bimatrix games with fuzzy payoffs. Using necessity measure and the weighted Tchebycheff norm method, an equilibrium solution concept is defined, which depends on weighting vectors specified by each player. Since it is very difficult to obtain such equilibrium solutions directly, instead of equilibrium conditions in the necessity measure space, equilibrium conditions in the expected payoff space are provided. Under the assumption that a player can estimate the opponent player’s preference as the weighting vector of the weighted Tchebycheff norm method, the interactive algorithm is proposed to obtain a satisfactory solution of the player from among an equilibrium solution set by updating the weighting vector.

Paper Citation

in Harvard Style

Yano H. and Nishizaki I. (2021). Multiobjective Bimatrix Game with Fuzzy Payoffs and Its Solution Method using Necessity Measure and Weighted Tchebycheff Norm. In Proceedings of the 13th International Joint Conference on Computational Intelligence (IJCCI 2021) - Volume 1: FCTA; ISBN 978-989-758-534-0, SciTePress, pages 159-166. DOI: 10.5220/0010630700003063

in Bibtex Style

@conference{fcta21,
author={Hitoshi Yano and Ichiro Nishizaki},
title={Multiobjective Bimatrix Game with Fuzzy Payoffs and Its Solution Method using Necessity Measure and Weighted Tchebycheff Norm},
booktitle={Proceedings of the 13th International Joint Conference on Computational Intelligence (IJCCI 2021) - Volume 1: FCTA},
year={2021},
pages={159-166},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010630700003063},
isbn={978-989-758-534-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Computational Intelligence (IJCCI 2021) - Volume 1: FCTA
TI - Multiobjective Bimatrix Game with Fuzzy Payoffs and Its Solution Method using Necessity Measure and Weighted Tchebycheff Norm
SN - 978-989-758-534-0
AU - Yano H.
AU - Nishizaki I.
PY - 2021
SP - 159
EP - 166
DO - 10.5220/0010630700003063
PB - SciTePress