Game Theory: An approach through history and its applications
DOI:
https://doi.org/10.36560/1212019642Keywords:
History of Game Theory, Applications of Game Theory, John von Neumann, John Nash, Prisoner’s Dilemma.Abstract
Game Theory is a mathematical approach to the study of decision making between individuals when each outcome depends on the decisions of others, ie, one should not make an arbitrary decision, but decide based on what they think the decision of their "opponent" will be, knowing that they think the same. Developed by John von Neumann and Oskar Morgenstern in 1944 in the book Theory of Games and Economic Behavior, it had been very contested since its launch, but the works of a genius named John Nash, winner of the Nobel Prize in economics in 1994, ended these contestations. This work shows that the Game Theory was not limited to the field of economics, but expanded to other areas, such as biology, explaining strategies used by species to survive. As results are presented more than ten models based on the principles of Game Theory, among them the Prisoner's Dilemma, Ice Cream Vendors Game, Clean City Law and Warning Song between Bird.
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