Peter Morris: Introduction to Game Theory

Cover: 9780387942841 | Introduction to Game Theory | Peter Morris | Taschenbuch | xxvi | 1994

Rückseite: 9780387942841 | Introduction to Game Theory | Peter Morris | Taschenbuch | xxvi | 1994

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Sprache: Englisch

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Beschreibung

This is a textbook for a course in the theory of games. It is intended for advanced undergraduates and graduate students in mathematics and other quantitative disciplines, e.g., statistics, operations research, etc. It treats the central topics in game theory and is meant to give students a basis from which they can go on to more advanced topics. The subject matter is approached in a mathematically rigorous way, but , within this constraint, an effort is made to keep it interesting and lively. New definitions and topics are motivated as thoroughly as possible. The mathematical prerequisites for understanding the book are modest: basic probability together with a little calculus and linear algebra.

Zusammenfassung

Inhaltsverzeichnis

1. Games in Extensive Form.- 1.1. Trees.- 1.2. Game Trees.- 1.3. Choice Functions and Strategies.- 1.4. Games with Chance Moves.- 1.5. Equilibrium N-tuples of Strategies.- 1.6. Normal Forms.- 2. Two-Person Zero-Sum Games.- 2.1. Saddle Points.- 2.2. Mixed Strategies.- 2.3. Small Games.- 2.4. Symmetric Games.- 3. Linear Programming.- 3.1. Primal and Dual Problems.- 3.2. Basic Forms and Pivots.- 3.3. The Simplex Algorithm.- 3.4. Avoiding Cycles and Achieving Feasibility.- 3.5. Duality.- 4. Solving Matrix Games.- 4.1. The Minimax Theorem.- 4.2. Some Examples.- 5. Non-Zero-Sum Games.- 5.1. Noncooperative Games.- 5.2. Solution Concepts for Noncooperative Games.- 5.3. Cooperative Games.- 6. N-Person Cooperative Games.- 6.1. Coalitions.- 6.2. Imputations.- 6.3. Strategic Equivalence.- 6.4. Two Solution Concepts.- 7. Game-Playing Programs.- 7.1. Three Algorithms.- 7.2. Evaluation Functions.- Appendix. Solutions.

Details

Erscheinungsjahr:	1994
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xxvi 252 S.
ISBN-13:	9780387942841
ISBN-10:	038794284X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Morris, Peter
Hersteller:	Humana Springer Springer US, New York, N.Y. Universitext
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 14 mm
Von/Mit:	Peter Morris
Erscheinungsdatum:	28.07.1994
Gewicht:	0,388 kg