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For the study of playing games for entertainment, see Game studies. It has applications in all fields of social science, as well as in logic and computer science.Originally, it addressed zero-sum games, in which each participant's gains or losses are exactly balanced by those of the other participants.In this letter, Waldegrave provides a minimax mixed strategy solution to a two-person version of the card game le Her, and the problem is now known as Waldegrave problem.In his 1838 Recherches sur les principes mathématiques de la théorie des richesses (Researches into the Mathematical Principles of the Theory of Wealth), Antoine Augustin Cournot considered a duopoly and presents a solution that is the Nash equilibrium of the considered game.It was later explicitly applied to biology in the 1970s, although similar developments go back at least as far as the 1930s.Game theory has been widely recognized as an important tool in many fields.

Game theory was developed extensively in the 1950s by many scholars.Today, game theory applies to a wide range of behavioral relations, and is now an umbrella term for the science of logical decision making in humans, animals, and computers.Modern game theory began with the idea regarding the existence of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann.RAND pursued the studies because of possible applications to global nuclear strategy.Around this same time, John Nash developed a criterion for mutual consistency of players' strategies, known as Nash equilibrium, applicable to a wider variety of games than the criterion proposed by von Neumann and Morgenstern.

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