Decision Making Using Game Theory : An Introduction for Managers

Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 Introduction -- Terminology -- Classifying games -- A brief history of game theory -- Layout -- 2 Games of skill -- Linear programming, optimisation and basic calculus -- The Lagrange method of partial derivatives -- 3 Games of chance -- An introduction to basic probability theory -- Expected value, variance and standard deviation -- Games of chance involving risk -- Utility theory -- Games of chance involving uncertainty -- 4 Sequential decision making and cooperative games of strategy -- Representing sequential decision making -- Sequential decision making in single-player games -- Sequential decision making in single-player games involving uncertainty -- Sequential decision making in two-player and multi-player games -- Cooperative two-person games -- Purely cooperative games -- Minimal social situation games -- 5 Two-person zero-sum games of strategy -- Representing zero-sum games -- Games with saddle points -- Dominance and inadmissibility in large saddle point games -- Games with no saddle points -- Large matrices generally -- Interval and ordinal scales for pay-offs -- Games with ordinal pay-offs and saddle points -- Games with ordinal pay-offs, but without saddle points -- 6 Two-person mixed-motive games of strategy -- Representing mixed-motive games and the Nash equilibrium -- Mixed-motive games without single equilibrium points: archetype 1 - leadership games -- Mixed-motive games without single equilibrium points: archetype 2 - heroic games -- Mixed-motive games without single equilibrium points: archetype 3 - exploitation games -- Mixed-motive games without single equilibrium points: archetype 4 - martyrdom games -- Summary of features of mixed-motive prototypes -- Leadership games -- Heroic games -- Exploitation games -- Martyrdom games.