Introduction to game-theory calculations
Nicola Orsini
Karolinska Institutet
Stockholm, Sweden
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Debora Rizzuto
Department of Public Health
University of Siena, Italy
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Nicola Nante
Department of Public Health
University of Siena, Italy
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Abstract. Game theory can be defined as the study of mathematical models of conflict
and cooperation between intelligent and rational decision makers (Myerson
1991). Game-theory concepts apply in economy, sociology, biology, and health
care, and whenever the actions of several agents (individuals, groups, or
any combination of these) are interdependent. We present a new command
gamet to represent the extensive form (game tree) and the strategic
form (payoff matrix) of a noncooperative game and to identify the solution
of a nonzero and zero-sum game through dominant and dominated strategies,
iterated elimination of dominated strategies, and Nash equilibrium in pure
and fully mixed strategies. Further, gamet can identify the solution
of a zero-sum game through maximin criterion and the solution of an
extensive form game through backward induction.
View all articles by these authors:
Nicola Orsini, Debora Rizzuto, Nicola Nante
View all articles with these keywords:
Game theory, Nash equilibrium, payoff matrix, zero-sum game, game tree
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