Game Theory Decisions, Interaction and Evolution

Game Theory Decisions, Interaction and Evolution / by James N. Webb.

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 fe...

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Bibliographic Details
Main Author: Webb, James N. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Springer Undergraduate Mathematics Series,
Springer eBook Collection.
Subjects:
Game theory.
Applied mathematics.
Engineering mathematics.
Economics.
Management science.
Behavioral sciences.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
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.
Physical Description:X, 242 p. online resource.
ISBN:9781846286360
ISSN:1615-2085
DOI:10.1007/978-1-84628-636-0

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