Nonzero-sum games

Leon A. Petrosjan and Nikolay Zenkevich ()
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Leon A. Petrosjan: Faculty of Applied Mathematics, St. Petersburg State University, Russia

Chapter 3 in Game Theory, 1996, pp 125-198 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:Definition of noncooperative game in normal formOptimality principles in noncooperative gamesMixed extension of noncooperative gameExistence of Nash equilibriumKakutani fixed-point theorem and proof of existence of an equilibrium in n-person gamesRefinements of Nash equilibriaProperties of optimal solutionsSymmetric bimatrix games and evolutionary stable strategiesEquilibrium in joint mixed strategiesThe bargaining problemGames in characteristic function formThe core and NM-solutionShapley valueThe potential of the Shapley valueThe Shapley value for a minimum cost spanning tree gameExercises and problems

Keywords: Strategy; Optimal Solution; Nash Equilibrium; Time-Consistency; Shapley Value; Core; Extensive Game; Mixed Strategy (search for similar items in EconPapers)
JEL-codes: C70 C73 (search for similar items in EconPapers)
Date: 1996
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Chapter: Nonzero-Sum Games (2016)
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