Models and Methods for Solving Non Cooperative Games under Imprecise Environment

Abstract

The primary objective of this thesis is to present the theoretical framework and model newlineformulation to solving the non-cooperative games in various imperfect environments. newlineGame theory finds applications across diverse disciplines, including economics, computer science, business studies, politics, industries, medical science, and international newlinerelations. However, in reality, information is often imprecise due to various factors. newlineHence, the need to evaluate payoffs in different fuzzy set extensions arises, which can newlinebe appropriately adapted to account for imprecise information. newlineTo our understanding, there has been extensive research on fuzzy and intuitionistic newlinefuzzy matrix and bimatrix games. However, in fuzzy games, only the players degree of newlineacceptance towards the provided information is taken into account, whereas intuitionistic newlinefuzzy games consider both the degree of acceptance and non-acceptance of the players. newlineNevertheless, these two extensions of matrix games do not adequately address all forms newlineof inadequacies and imprecision. To bridge this gap, we introduce matrix game problems newlinein various extensions of fuzzy sets. newline