文章基本信息

标题：Introduction to game-theory calculations
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作者：Orsini, Nicola ; Rizzuto, Debora ; Nante, Nicola 等
期刊名称：Journal of Agribusiness
印刷版ISSN：0738-8950
出版年度：2005
期号：suppl
页码：355-370
出版社：Journal of Agribusiness
摘要：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.
关键词：Game theory;Nash equilibrium;payoff matrix;zero-sum game;game tree