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Game Theory: Decisions, Interaction and Evolution (Springer Undergraduate Mathematics Series) - Softcover

 
9781846284236: Game Theory: Decisions, Interaction and Evolution (Springer Undergraduate Mathematics Series)

Synopsis

The outstanding feature of this 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. Detailed solutions to the numerous exercises are 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 will also interest advanced students or researchers in biology and economics.

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About the Author

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

From the Back Cover

This introduction to game theory is written from a mathematical perspective. Its primary purpose is to be 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.

The outstanding feature of the book is that it provides a unified account of three types of decision problem:

  • Situations involving a single decision-maker: in which a sequence of choices is to be made in "a game against nature". This introduces the basic ideas of optimality and decision processes.
  • Classical game theory: in which the interactions of two or more decision-makers are considered. This leads to the concept of the Nash equilibrium.
  • Evolutionary game theory: in which the changing structure of a population of interacting decision makers is considered. This leads to the ideas of evolutionarily stable strategies and replicator dynamics.

An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required. Detailed solutions are provided for the numerous exercises.

"About this title" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date2006
  • ISBN 10 1846284236
  • ISBN 13 9781846284236
  • BindingPaperback
  • LanguageEnglish
  • Number of pages252

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9788132204442: GAME THEORY: DECISIONS, INTERACTION AND EVOLUTION

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Soft cover. Condition: New. ix, 241 pages : illustrations : 25 cm. Summary:This introduction to game theory is written from a mathematical perspective. Its primary purpose is to be 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. The outstanding feature of the book is that it provides a unified account of three types of decision problem: Situations involving a single decision-maker: in which a sequence of choices is to be made in "a game against nature". This introduces the basic ideas of optimality and decision processes. Classical game theory: in which the interactions of two or more decision-makers are considered. This leads to the concept of the Nash equilibrium. Evolutionary game theory: in which the changing structure of a population of interacting decision makers is considered. This leads to the ideas of evolutionarily stable strategies and replicator dynamics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required. Detailed solutions are provided for the numerous exercises. Seller Inventory # 18jbew23

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The outstanding feature of this 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. Detailed solutions to the numerous exercises are 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 will also interest advanced students or researchers in biology and economics. 252 pp. Englisch. Seller Inventory # 9781846284236

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781846284236

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