A novel soft set theoretic prisoners' dilemma game model

Abstract

A game is a mechanism to deal with decision making situation involving multiple players. Each of the individual players has his/her objectives that may conflict with each other. The set of players indulge in the game; generally make their decision under condition of uncertainty. Sometimes, this uncertainty in conditions may bear vagueness in information processing. In this paper, a soft set theoretic approach is proposed to resolve the strategic game problem in which pure strategy set for each player is defined. A soft set theoretic game has been constructed and contemporary version classical pure strategic Prisoners' Dilemma game model is introduced. Finally, Soft Nash Equilibrium has been defined and derived. © 2016 IEEE.