Game theory is the study of mathematical models of strategic interaction between rational decision-makers.[1] 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 one person's gains result in losses for the other participants. 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. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was followed by the 1944 book Theory of Games and Economic Behavior, co-written with Oskar Morgenstern, which considered cooperative games of several players. The second edition of this book provided an axiomatic theory of expected utility, which allowed mathematical statisticians and economists to treat decision-making under uncertainty.
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. Game theory has been widely recognized as an important tool in many fields. 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. John Maynard Smith was awarded the Crafoord Prize for his application of game theory to biology.
Ref: https://en.wikipedia.org/wiki/Game_theory
Dear H. Naderpuor,
I have used "Game Theory" in my field of expertise, Developmental Psychology. In particular, I have used Game Theory to explain children's development of altruism. My idea is that younger children's tend to see altruistic acts in terms of cost (e.g., " If i share my sandwich with Bob, I cannot eat the whole sandwich"), whereas oller children tend to see them in terms of gain (e.g., "If i share my sandwich with Bob, he will share his sandwich with me on other occasions").
So, Game Theory can be applied to the fiel of human and sociad social sciences,
Best regards,
Orlando
I used Game Theory in internet pricing schemes. For a given schemes, appropriate strategies for ISPs are computed.
In my field, the game theory can be used to allocate water resources , Reliability and statistics in geotechnical engineering and manage risks of projects.
In my field, Law, Game Theory can be used in order to evaluate different options as such as demand or not; also can be used for predict and choose the best option between them.
The following is an article on game theory in the water field
Article GIS AND GAME THEORY FOR WATER RESOURCE MANAGEMENT
Best Regards H. Naderpour
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