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Titlebook: Game Theory; Decisions, Interacti James N. Webb Textbook 2007 Springer-Verlag London 2007 Nash equilibrium.biology.calculus.decision theory

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发表于 2025-3-21 20:08:30 | 显示全部楼层 |阅读模式
书目名称Game Theory
副标题Decisions, Interacti
编辑James N. Webb
视频video
概述Provides three books in one: 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
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Game Theory; Decisions, Interacti James N. Webb Textbook 2007 Springer-Verlag London 2007 Nash equilibrium.biology.calculus.decision theory
描述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
出版日期Textbook 2007
关键词Nash equilibrium; biology; calculus; decision theory; dynamics; economics; equilibrium; game theory; mathema
版次1
doihttps://doi.org/10.1007/978-1-84628-636-0
isbn_softcover978-1-84628-423-6
isbn_ebook978-1-84628-636-0Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 2007
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发表于 2025-3-21 21:34:05 | 显示全部楼层
Mathematik und intelligente Materialien this chapter, we give a few examples to show how the concepts of game theory are easily extended to such cases. Economic models of a duopoly provide examples with pure-strategy Nash equilibria, and the so-called War of Attrition has an equilibrium involving mixed strategies.
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https://doi.org/10.1007/978-3-662-50278-5made may be fewer than . if the process terminates early as a consequence of the actions taken. Models that have no a priori restriction on the number of decisions to be taken (“infinite horizon” models) will be considered in the next chapter.
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Static Games may have restrictive features that are not present in general games: for example, it is not necessarily true that one player “wins” only if the other “loses”. Games that have winners and losers in this sense are called .; these are considered in Section 4.7.3.
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Infinite Dynamic Gamesndividually rational way? In the Cournot duopoly, cartels were not stable. However, in many countries, substantial effort is expended in making and enforcing anticollusion laws. So it seems that, in reality, there is a risk of cartel formation. How can cartels be stable?
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