Games and Decisions: Introduction and Critical SurveyDover Publications, 1989 - 509 pages "The best book available for non-mathematicians." — Contemporary Psychology. This book represents the earliest clear, detailed, precise exposition of the central ideas and results of game theory and related decision-making models — unencumbered by technical mathematical details. It offers a comprehensive, time-tested conceptual introduction, with a social science orientation, to a complex of ideas related to game theory including decision theory, modern utility theory, the theory of statistical decisions, and the theory of social welfare functions. The first three chapters provide a general introduction to the theory of games including utility theory. Chapter 4 treats two-person, zero-sum games. Chapters 5 and 6 treat two-person, nonzero-sum games and concepts developed in an attempt to meet some of the deficiencies in the von Neumann-Morgenstern theory. Chapters 7–12 treat n-person games beginning with the von Neumann-Morgenstern theory and reaching into many newer developments. The last two chapters, 13 and 14, discuss individual and group decision making. Eight helpful appendixes present proofs of the famous minimax theorem, several geometric interpretations of two-person zero-sum games, solution procedures, infinite games, sequential compounding of games, and linear programming. Thought-provoking and clearly expressed, Games and Decisions: Introduction and Critical Survey is designed for the non-mathematician and requires no advanced mathematical training. It will be welcomed by economists concerned with economic theory, political scientists and sociologists dealing with conflict of interest, experimental psychologists studying decision making, management scientists, philosophers, statisticians, and a wide range of other decision-makers. It will likewise be indispensable for students in courses in the mathematical theory of games and linear programming. |
Table des matières
CHAPTER | 1 |
Utility Theory | 12 |
Extensive and Normal Forms | 39 |
Droits d'auteur | |
25 autres sections non affichées
Autres éditions - Tout afficher
Games and Decisions: Introduction and Critical Survey R. Duncan Luce,Howard Raiffa Aperçu limité - 2012 |
Games and Decisions: Introduction and Critical Survey R. Duncan Luce,Howard Raiffa Aperçu limité - 1989 |
Games and Decisions: Introduction and Critical Survey, Volume 10 Robert Duncan Luce,Howard Raiffa Affichage d'extraits - 1957 |
Expressions et termes fréquents
a₁ alternatives analysis arbitrated solution arbitration scheme argument assumed assumption axioms Chapter characteristic function choose coalition structure collusion concept condition conflict of interest consider constant-sum cooperative game decision denote discussion dominates economic equilibrium pairs equilibrium point equilibrium strategy example exists expected value extensive form finite number gamble game in extensive game theory game tree given imputations indifferent individual information sets interpersonal comparisons least linear utility function lottery mathematical maximin strategy maximize minimax theorem mixed strategy move n-person games n-tuple Nash Nash's negotiation set Neumann and Morgenstern non-cooperative game normal form notion outcome Pareto optimal payoff matrix play Player 1's utility possible preplay communication prisoner's dilemma pure strategy rational reasonable restricted security level sense Shapley Shapley value side payments situation social strategy choice strictly competitive games subset theorem theory of games tion tive two-person games two-person theory unique utility theory yield αι