Given that game theory is a recent branch of mathematics, its emergence is attributed to the
first half of the twentieth century. In 1944, mathematician John Von Neumann and economist
Oskar Morgenstern launch the book, considered the pillar of game theory, The Theory of Games
and Ecomomic Behavior. Game theory studies, analyzes and models, through mathematical
tools, situations of interactions and strategic decision-making between groups in society,
institutions, nations, among others. Therefore, this work intends to show, through basic
concepts of game theory, such as elimination of strictly dominated strategies and Nash
equilibrium, that even intuitively, game theory is present in everyday life, being an important
artifice to understand the strategic behavior where there is interaction between player agents.
With the analysis of some problems from the perspective of game theory, such as oil
exploration, a competition between two athletes, the territorial conflict between Israelis and
Palestinians and the battle of the sexes.
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