Equilibrium Strategy for Two-Person Zero-Sum Matrix Game with Random Fuzzy Payoffs

Author

Xu, Lin ; Li, Jidong

Author_Institution

Finance Coll., Hebei Univ. of Econ. & Bus., Shijiazhuang, China

fYear

2010

fDate

17-18 April 2010

Firstpage

169

Lastpage

172

Abstract

This paper investigates a two-person zero-sum matrix game in which the payoffs are characterized as random fuzzy variables. Based on random fuzzy expected value operator, a random fuzzy expected minimax equilibrium strategy to the game is defined. Then an iterative algorithm based on random fuzzy simulation is designed to seek the minimax equilibrium strategy. Finally, a numerical example is provided to illustrate the effectiveness of the algorithm.

Keywords

fuzzy set theory; game theory; iterative methods; matrix algebra; minimax techniques; iterative algorithm; random fuzzy expected minimax equilibrium strategy; random fuzzy expected value operator; random fuzzy payoffs; random fuzzy simulation; two-person zero-sum matrix game; Educational institutions; Environmental economics; Extraterrestrial measurements; Finance; Fuzzy systems; Game theory; Iterative algorithms; Minimax techniques; Power generation economics; Random variables; equilibrium strategy; random fuzzy simulation; random fuzzy variable; two-person zero-sum matrix game;

fLanguage

English

Publisher

ieee

Conference_Titel

Wearable Computing Systems (APWCS), 2010 Asia-Pacific Conference on

Conference_Location

Shenzhen

Print_ISBN

978-1-4244-6467-8

Electronic_ISBN

978-1-4244-6468-5

Type

conf

DOI

10.1109/APWCS.2010.49

Filename

5481247