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BL
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| Record Number
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637121
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| Doc. No
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dltt
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| Main Entry
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Mesterton-Gibbons, Mike.
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| Title & Author
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An introduction to game-theoretic modelling /\ Michael Mesterton-Gibbons.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2001.
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| Series Statement
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Student mathematical library ;; v. 11
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| Page. NO
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xxiv, 368 p. :: ill. ;; 22 cm.
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| ISBN
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0821819291 (alk. paper)
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: 9780821819296 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 347-361) and index.
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| Contents
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Noncooperative Games -- Crossroads: a motorist's dilemma -- The Hawk-Dove game -- Rational reaction sets and Nash equilibria -- Four Ways: a motorist's trilemma -- Store Wars: a continuous game of prices -- Store Wars II: a three-player game -- Max-min strategies -- Evolutionary Stability and Other Selection Criteria -- Harsanyi and Selten's criterion -- Kalai and Samet's criterion -- Maynard Smith's criterion -- Crossroads as a continuous population game -- An example of population dynamics -- Discrete population games. Multiple ESSes -- Asymmetry of role: Owners and Intruders -- Spiders in a spin--a case of anti-Bourgeois? -- Cooperative Games in Strategic Form -- Unimprovability: group rationality -- Necessary conditions for unimprovability -- The Nash bargaining solution -- Independent versus correlated strategies -- Characteristic Function Games -- Characteristic functions and reasonable sets -- Core-related concepts -- A four-person car pool -- Log hauling: a coreless game -- Antique dealing. The nucleolus -- Team long-jumping. An improper game -- The Shapley value -- Simple games. The Shapley-Shubik index -- Cooperation and the Prisoner's Dilemma -- A laboratory prisoner's dilemma -- A game of foraging among oviposition sites -- Tit for tat: champion reciprocative strategy -- Other reciprocative strategies -- Dynamic versus static interaction -- Stability of a nice population: static case -- Stability of a nice population: dynamic case -- Mutualism: common ends or enemies -- Much ado about scorekeeping.
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| Abstract
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"This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions."--BOOK JACKET.
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| Subject
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Game theory.
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| Subject
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Mathematical models.
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| LC Classification
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QA269.M464 2001
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| Spine Title
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Game-theoretic modelling
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