Economic theory of dating
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.In 1913, Ernst Zermelo published Über eine Anwendung der Mengenlehre auf die Theorie des Schachspiels (On an Application of Set Theory to the Theory of the Game of Chess).For the mathematical study of sequential games, see Combinatorial game theory.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.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.Nash proved that every finite n-player, non-zero-sum (not just 2-player zero-sum) non-cooperative game has what is now known as a Nash equilibrium in mixed strategies.
As of 2014, with the Nobel Memorial Prize in Economic Sciences going to game theorist Jean Tirole, eleven game theorists have won the economics Nobel Prize.
Game theory was developed extensively in the 1950s by many scholars.
It was later explicitly applied to biology in the 1970s, although similar developments go back at least as far as the 1930s.
Von Neumann's work in game theory culminated in this 1944 book.
This foundational work contains the method for finding mutually consistent solutions for two-person zero-sum games.