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Cover: 9781846284236 | Game Theory | Decisions, Interaction and Evolution | James N. Webb
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Game Theory
Decisions, Interaction and Evolution
Taschenbuch von James N. Webb
Sprache: Englisch

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Beschreibung
This book is an introduction to game theory from a mathematical perspective. It is intended to be a ?rst course for undergraduate students of mathematics, but I also hope that it will contain something of interest to advanced students or researchers in biology and economics who often encounter the basics of game theory informally via relevant applications. In view of the intended audience, the examples used in this book are generally abstract problems so that the reader is not forced to learn a great deal of a subject ¿ either biology or e- nomics ¿ that may be unfamiliar. Where a context is given, these are usually ¿classical¿ problems of the subject area and are, I hope, easy enough to follow. The prerequisites are generally modest. Apart from a familiarity with (or a willingness to learn) the concepts of a proof and some mathematical no- tion, the main requirement is an elementary understanding of probability. A familiarity with basic calculus would be useful for Chapter 6 and someparts of Chapters 1 and 8. The basic ideas of simple ordinary di?erential equations are required in Chapter 9 and, towards the end of that chapter, some familiarity with matrices would be an advantage ¿ although the relevant ideas are brie?y described in an appendix.
This book is an introduction to game theory from a mathematical perspective. It is intended to be a ?rst course for undergraduate students of mathematics, but I also hope that it will contain something of interest to advanced students or researchers in biology and economics who often encounter the basics of game theory informally via relevant applications. In view of the intended audience, the examples used in this book are generally abstract problems so that the reader is not forced to learn a great deal of a subject ¿ either biology or e- nomics ¿ that may be unfamiliar. Where a context is given, these are usually ¿classical¿ problems of the subject area and are, I hope, easy enough to follow. The prerequisites are generally modest. Apart from a familiarity with (or a willingness to learn) the concepts of a proof and some mathematical no- tion, the main requirement is an elementary understanding of probability. A familiarity with basic calculus would be useful for Chapter 6 and someparts of Chapters 1 and 8. The basic ideas of simple ordinary di?erential equations are required in Chapter 9 and, towards the end of that chapter, some familiarity with matrices would be an advantage ¿ although the relevant ideas are brie?y described in an appendix.
Über den Autor

James Webb is a former lecturer at Nottingham Trent University, UK

Zusammenfassung

The outstanding feature of the book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. There are detailed solutions to the numerous exercises provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it also contains material which will be of interest to advanced students or researchers in biology and economics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required.

Inhaltsverzeichnis
Decisions.- Simple Decision Models.- Simple Decision Processes.- Markov Decision Processes.- Interaction.- Static Games.- Finite Dynamic Games.- Games with Continuous Strategy Sets.- Infinite Dynamic Games.- Evolution.- Population Games.- Replicator Dynamic.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
242 S.
25 Illustr.
ISBN-13: 9781846284236
ISBN-10: 1846284236
Sprache: Englisch
Herstellernummer: 11513865
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Webb, James N.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Maße: 235 x 178 x 14 mm
Von/Mit: James N. Webb
Erscheinungsdatum: 01.12.2006
Gewicht: 0,446 kg
Artikel-ID: 102155793
Über den Autor

James Webb is a former lecturer at Nottingham Trent University, UK

Zusammenfassung

The outstanding feature of the book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. There are detailed solutions to the numerous exercises provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it also contains material which will be of interest to advanced students or researchers in biology and economics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required.

Inhaltsverzeichnis
Decisions.- Simple Decision Models.- Simple Decision Processes.- Markov Decision Processes.- Interaction.- Static Games.- Finite Dynamic Games.- Games with Continuous Strategy Sets.- Infinite Dynamic Games.- Evolution.- Population Games.- Replicator Dynamic.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: x
242 S.
25 Illustr.
ISBN-13: 9781846284236
ISBN-10: 1846284236
Sprache: Englisch
Herstellernummer: 11513865
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Webb, James N.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Maße: 235 x 178 x 14 mm
Von/Mit: James N. Webb
Erscheinungsdatum: 01.12.2006
Gewicht: 0,446 kg
Artikel-ID: 102155793
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