A project Submitted in partial fulfillment of the requirement of the degree of bachelor of science in mathematics

Abstract

Game theory is a mathematical theory that deals with the general fea tures of competitive situations like parlor games, military battles, political campaigns, advertising and marketing campaigns by competing business firms in a formal way. A game can be classified as zero-sum game and positive sum game depending on the out put. That is, if the gain of one player is equal to the lose of his opponent then the total play is zero and if the gain of one player is greater than of opponent then the total play is positive. We use different methods to solve game; these are pure strategy method, mixed strategy using algebraic, sub-games, dominance, graphical and linear programming methods.