Games and Decisions (eBook)

R. Duncan Luce, Howard Raiffa (Autoren)

eBook Download: EPUB

2012
544 Seiten
Dover Publications (Verlag)
978-0-486-13483-3 (ISBN)

Infos

Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

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"e;The best book available for non-mathematicians."e; — 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.

Inhalt

1. General Introduction to the Theory of Games2. Utility Theory3. Extensive and Normal Forms4. Two-Person Zero-Sum Games5. Two-Person Non-Zero-Sum Non-Cooperative Games6. Two-Person Cooperative Games7. Theories of n-Person Games in Normal Form8. Characteristic Functions9. Solutions10. psi-Stability11. Reasonable Outcomes and Value12. Applications of n-Person Theory13. Individual Decision Making under Uncertainty14. Group Decision Making Appendices1. A Probabilistic Theory of Utility2. The Minimax Theorem3. First Geometrical Interpretation of a Two-Person Zero-Sum Game4. Second Geometrical Interpretation of a Two-Person Zero-Sum Game5. Linear Programing and Two-Person Zero-Sum Games6. Solving Two-Person Zero-Sum Games7. Games with Infinite Pure Strategy Sets8. Sequential Compounding of Two-Person Games Bibliography Index

Produkt-Details

• Erscheint lt. Verlag: 20.9.2012
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik
• ISBN-10: 0-486-13483-0 / 0486134830
• ISBN-13: 978-0-486-13483-3 / 9780486134833