Game Theory: A Multi-Leveled Approach de Hans Peters

Game Theory: A Multi-Leveled Approach: Springer Texts in Business and Economics

Autor Hans Peters

en Limba Engleză Paperback – noi 2016

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answersand solutions are included.

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Specificații

ISBN-13: 9783662518779
ISBN-10: 3662518775
Pagini: 511
Ilustrații: XVII, 494 p. 89 illus.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.71 kg
Ediția:Softcover reprint of the original 2nd ed. 2015
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Texts in Business and Economics

Locul publicării:Berlin, Heidelberg, Germany

Cuprins

Introduction.- Part I Thinking Strategically.- Finite Two-Person Zero-Sum Games.- Finite Two-Person Games.- Finite Extensive Form Games.- Finite Games with Incomplete Information.- Noncooperative Games: Extensions.- Repeated Games.- An Introduction to Evolutionary Games.- Cooperative Games with Transferable Utility.- Cooperative Game Models.- Social Choice.- Part II Noncooperative Games.- Matrix Games.- Finite Games.- Extensive Form Games.- Evolutionary Games.- Part III Cooperative Games.- TU-Games: Dominationa, Stable Sets, and the Core.- The Shapley Value.- Core, Shapley Value, and Weber Set.- The Nucleolus.- Special Transferable Utility Games.- Bargaining Problems.- Part IV Tools.

Recenzii

“It can be used at an advanced undergraduate course or a graduate course. … I found the book very well written and appropriate for a game theory course focused on business and economics students and applications. Some of the problems are very challenging but most of them are at the appropriate level and the reader will have some fun and learn from them. This is a book that I recommend if you are interested in game theory … .” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, June, 2016)
“This book is therefore a very successful work on the task of providing the largest number of readers, independently of the initial levels of knowledge, an introduction to game theory simultaneously accessible and rigorous, with a wide exemplification of applications, allowing them to achieve efficiently an advanced level of knowledge in the field. Indispensable for teachers and both undergraduate and graduate students in game theory. Also for business and economicsprofessionals, and everybody curious on these matters.” (Manuel Alberto M. Ferreira, Acta Scientiae et Intellectus, Vol. 2 (4), 2016)

Notă biografică

Hans Peters studied mathematics at the Radboud University (Nijmegen, The Netherlands), where he graduated in 1982. Since 1984 he has been working at Maastricht University, at the Department of Quantitative Economics and the Department of Mathematics. He received his Ph.D. from Radboud University in 1986.
He is Professor of Quantitative Economics, in particular Mathematical Economics, at the Department of Quantitative Economics, School of Business and Economics, Maastricht University. He is also Honorar Professor at the Rheinisch-Westfälische Technische Hochschule, Aachen, Germany.
He is a Fellow of the Society for the Advancement of Economic Theory SAET.
His main research interests are game theory and social choice theory, and he is currently an editor of Social Choice and Welfare, Games and Economic Behavior, and Mathematical Social Sciences, and main editor of the Theory and Decision Library Series C: Game Theory, Social Choice, Decision Theory, and Optimization,published by Springer (http://www.springer.com/series/6618).

Textul de pe ultima copertă

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answersand solutions are included.

Caracteristici

Teaches the basics of game theory on a thorough level Adapted for the needs of both undergraduate and graduate students Covers most topics of interest in game theory, including cooperative game theory

Descriere

Descriere de la o altă ediție sau format:

This book is a compilation of much of the material I used for various game theory courses over, roughly, the past two decades. The ?rst part, ThinkingStrategically, is intended for undergraduatestudents in economics or business, but can also serve as an introduction for the subsequent parts of the book. The second and third parts go deeper into the various topics treated in the ?rst part. These parts are intended for more mathematically oriented undergraduate students, or for graduate students in (for instance) economics. Part II is on noncooperative games and Part III on co- erative games. Part IV is only a mathematical tools chapter. Every chapter has a ?nal section with problems. Selected hints, answers, and solutions to these pr- lems are given at the end of the book. Complete solutions can be obtained from the author. The book claims neither originality nor completeness. As to originality, the material draws heavily on game theory texts developed by many others, often in collaboration. I mention in particular Jean Derks, Thijs Jansen, Andres Perea, Ton Storcken, Frank Thuijsman, Stef Tijs, Dries Vermeulen, and Koos Vrieze. I am also greatly indebted to a large numberof introductory, intermediate, and advancedtexts and textbookson game theory, and hope I have succeeded in giving suf?cient credit to the authors of these works in all relevant places.