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Decision Making using Game Theory: An introduction for managers

Decision Making using Game Theory: An introduction for managers

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viContents4 Sequential decision making and cooperative games ofstrategy 48Representing sequential decision making 49Sequential decision making in single-player games 52Sequential decision making in two-player and multi-player games 66Cooperative two-person games 725 Two-person zero-sum games of strategy 77Representing zero-sum games 78<strong>Game</strong>s with saddle points 80<strong>Game</strong>s with no saddle points 86Large matrices generally 90Interval and ordinal scales <strong>for</strong> pay-oVs 936 Two-person mixed-motive games of strategy 98Representing mixed-motive games and the Nash equilibrium 99Mixed-motive games without single equilibrium points:archetype 1 – leadership games 102Mixed-motive games without single equilibrium points:archetype 2 – heroic games 104Mixed-motive games without single equilibrium points:archetype 3 – exploitation games 105Mixed-motive games without single equilibrium points:archetype 4 – martyrdom games 107Summary of features of mixed-motive prototypes 113The Cournot, von Stackelberg and Bertrand duopolies:an interesting application of mixed-motive games 115Solving games without Nash equilibrium points <strong>using</strong> mixedstrategies 129

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