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040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a519.83 _bGIB-I
100			_aMesterton-Gibbons, Michael
245			_aIntroduction to game-theoretic modelling
250			_a2nd ed.
260			_aRhode Island : _bAmerican Mathematical Society, _c2001.
300			_axxiv, 368p. _b:ill. ; _c22 cm.
440			_aStudent mathematical library ; _vv. 11
504			_aIncludes bibliographical references (p. 347-361) and index.
520			_aThis book is about using game theory in mathematical modelling. It is an introductory text, covering the basic ideas and methods of game theory as well as the necessary ideas from the vast spectrum of scientific study where the methods are applied. It has by now become generally apparent that game theory is a fascinating branch of mathematics with both serious and recreational applications. Strategic behavior arises whenever the outcome of an individual's action depends on actions to be taken by other individuals—whether human, as in the Prisoners' Dilemma, or otherwise, as in the “duels of damselflies”. As a result, game-theoretic mathematical models are applicable in both the social and natural sciences. In reading this book, you can learn not just about game theory, but also about how to model real situations so that they can be analyzed mathematically. Mesterton-Gibbons includes the familiar game theory examples where they are needed for explaining the mathematics or when they provide a valuable application. There are also plenty of new examples, in particular from biology, such as competitions for territory or mates, games among kin versus games between kin, and cooperative wildlife management. Prerequisites are modest. Students should have some mathematical maturity and a familiarity with basic calculus, matrix algebra, probability, and some differential equations. As Mesterton-Gibbons writes, “The recurring theme is that game theory is fun to learn, doesn't require a large amount of mathematical rigor, and has great potential for application.” This new edition contains a significant amount of updates and new material, particularly on biological games. An important chapter on population games now has virtually all new material. The book is absolutely up-to-date with numerous references to the literature. Each chapter ends with a commentary which surveys current developments.
521			_aAdvanced undergraduates, graduate students, and research mathematicians interested in mathematical modelling; applied mathematicians; biologists, social scientists, and management scientists.
650			_aGame theory.
650			_aMathematical models.
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-11-prev.pdf?_gl=1*12evdtv*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTQ2NDk2MC41LjEuMTcxOTQ2ODkyMy4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/3629880-an-introduction-to-game-theoretic-modelling#CommunityReviews
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