Abstract
This paper deals with two-person non-zero sum games with interval payoffs. Graphical method to find a mixed strategy equilibrium is adapted to interval bimatrix games. In addition, interval bimatrix games Nash equilibrium is attained by graphical method. Nu- merical examples are also illustrated.
Highlights
Interval game theory which is special case of fuzzy game theory, is an important content in interval fuzzy mathematics
Interval game has widely played an important role in the field of decision making theory such as economics, management, operation research etc
Two-person non-zero sum games with interval payoff have already been studied in recent years by various researchers [1],[5],[6],[9]
Summary
Interval game theory which is special case of fuzzy game theory, is an important content in interval fuzzy mathematics. Interval game has widely played an important role in the field of decision making theory such as economics, management, operation research etc. Two-person non-zero sum games with interval payoff have already been studied in recent years by various researchers [1],[5],[6],[9]. Bimatrix game can be considered as a natural extension of the matrix game. Nash[2] defines the concept of Nash equilibrium solutions in bimatrix games for single pair of payoff matrices. We present graphical method for solving interval bimatrix games by using l : R → R, l([a, b]) = b − a. Received: November 5, 2015 Published: April 21, 2016 §Correspondence author c 2016 Academic Publications, Ltd. url: www.acadpubl.eu
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