Ken Binmore

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a ground-breaking field that analyzes how to play games in a rational way. Ken Binmore, a renowned game theorist, explains the theory in a way that is both entertaining and non-mathematical yet also deeply insightful, revealing how game theory can shed light on everything from social gatherings, to ethical decision-making, to successful card-playing strategies, to calculating the sex ratio among bees. With mini-biographies of many fascinating, and occasionally eccentric, founders of the subject--including John Nash, subject of the movie A Beautiful Mind--this book offers a concise overview of a cutting-edge field that has seen spectacular successes in evolutionary biology and economics, and is beginning to revolutionize other disciplines from psychology to political science. About the Series: Oxford's Very Short Introductions offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, and Literary Theory to History. Not simply a textbook of definitions, each volume provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given topic. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how it has developed and influenced society. Whatever the area of study, whatever the topic that fascinates the reader, the series has a handy and affordable guide that will likely prove indispensable.

Game Theory: A Very Short Introduction

Natural Justice

ทฤษฎีเกม

Joan Davies

The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.

Calculus: Concepts and Methods

Samir Okasha

This volume explores from multiple perspectives the subtle and interesting relationship between the theory of rational choice and Darwinian evolution. In rational choice theory, agents are assumed to make choices that maximize their utility; in evolution, natural selection 'chooses' between phenotypes according to the criterion of fitness maximization. So there is a parallel between utility in rational choice theory and fitness in Darwinian theory. This conceptual link between fitness and utility is mirrored by the interesting parallels between formal models of evolution and rational choice. The essays in this volume, by leading philosophers, economists, biologists and psychologists, explore the connection between evolution and rational choice in a number of different contexts, including choice under uncertainty, strategic decision making and pro-social behaviour. They will be of interest to students and researchers in philosophy of science, evolutionary biology, economics and psychology.

Decisions, Co-operation and Strategic Behaviour

Evolution and Rationality

Game Theory and the Social Contract

This book lays out foundations for a "science of morals." Binmore uses game theory as a systematic tool for investigating ethical matters. He reinterprets classical social contract ideas within a game-theory framework and generates new insights into the fundamental questions of social philosophy. In contrast to the previous writing in moral philosophy that relied on vague notion such as " societal well-being" and "moral duty," Binmore begins with individuals; rational decision-makers with the ability to empathize with one another. Any social arrangement that prescribes them to act against their interests will become unstable and eventually will be replaced by another, until one is found that includes worthwhile actions for all individuals involved.

A gentle, thorough and beautifully illustrated introduction to calculus for students from a range of disciplines.

This volume explores from several viewpoints the relationship between Darwinian evolution and the theory of rational choice.

Playing for Real is a problem-based textbook on game theory that has been widely used at both the undergraduate and graduate levels. This Coursepack Edition will be particularly useful for teachers new to the subject. It contains only the material necessary for a course of ten, two-hour lectures plus problem classes and comes with a disk of teaching aids including pdf files of the author's own lecture presentations together with two series of weekly exercise sets with answers and two sample final exams with answers. There are at least three questions a game theory book might answer: What is game theory about? How is game theory applied? Why is game theory right? Playing for Real is perhaps the only book that attempts to answer all three questions without getting heavily mathematical. Its many problems and examples are an integral part of its approach. Just as athletes take pleasure in training their bodies, there is much satisfaction to be found in training one's mind to think in a way that is simultaneously rational and creative. With all of its puzzles and paradoxes, game theory provides a magnificent mental gymnasium for this purpose. It is the author's hope that exercising on the equipment provided by this Coursepack Edition will bring the reader the same kind of pleasure that it has brought to so many other students.

A Text on Game Theory

Playing for Real, Coursepack Edition

Ken Binmore's previous game theory textbook, Fun and Games (D.C. Heath, 1991), carved out a significant niche in the advanced undergraduate market; it was intellectually serious and more up-to-date than its competitors, but also accessibly written. Its central thesis was that game theory allows us to understand many kinds of interactions between people, a point that Binmore amply demonstrated through a rich range of examples and applications. This replacement for the now out-of-date 1991 textbook retains the entertaining examples, but changes the organization to match how game theory courses are actually taught, making Playing for Real a more versatile text that almost all possible course designs will find easier to use, with less jumping about than before. In addition, the problem sections, already used as a reference by many teachers, have become even more clever and varied, without becoming too technical. Playing for Real will sell into advanced undergraduate courses in game theory, primarily those in economics, but also courses in the social sciences, and serve as a reference for economists.

Playing for Real

Binmore argues that game theory provides a systematic tool for investigating ethical matters. In Game Theory and the Social Contract, Ken Binmore argues that game theory provides a systematic tool for investigating ethical matters. His reinterpretation of classical social contract ideas within a game-theoretic framework generates new insights into the fundamental questions of social philosophy. He clears the way for this ambitious endeavor by first focusing on foundational issues--paying particular attention to the failings of recent attempts to import game--theoretic ideas into social and political philosophy. Binmore shows how ideas drawn from the classic expositions of Harsanyi and Rawls produce a synthesis that is consistent with the modern theory of noncooperative games. In the process, he notes logical weaknesses in other analyses of social cooperation and coordination, such as those offered by Rousseau, Kant, Gauthier, and Nozick. He persuasively argues that much of the current literature elaborates a faulty analysis of an irrelevant game. Game Theory and the Social Contract makes game-theoretic ideas more widely accessible to those with only a limited knowledge of the field. Instructional material is woven into the narrative, which is illustrated with many simple examples, and the mathematical content has been reduced to a minimum.

Game Theory and the Social Contract: Playing fair

Playing for Real is a problem-based textbook on game theory that has been widely used at both the undergraduate and graduate levels. The Coursepack Edition contains only the material necessary for a course of ten two-hour lectures plus problem classes. It comes with a disc of teaching aids including the author's own lecture presentations and two series of weekly exercise sets with answers.

Playing for Real Coursepack Edition

Why can't we think straight about the big issues that face our society? Why are we taken in by the phony arguments of populists and scammers? Where are the philosophers hiding when we need them to tell us what makes sense? They are hiding because they have nothing to say. The airy-fairy answers offered by writers of footnotes to Plato were wrong two thousand years ago, and they are still wrong now. All this time, we should have been listening to a different but equally venerable branch of matter-of-fact philosophy pioneered by the much-maligned philosopher Epicurus. His ideas were suppressed in ancient times as heretical, but the development of the theory of games and decisions makes it timely for those of us who care about science to revive his style of thinking–not just about the world around us but about ourselves as well. The price of transferring our allegiance to Epicurus and his modern followers is that we can no longer enjoy the luxury of being told what we want to hear. It would be nice if we were really equipped with a hotline to a metaphysical world of transcendental ideals, but the truth is that we are just the flotsam left behind on the beach when the evolutionary tide went out, and we have to get real about what will and will not work for our imperfect species before it is too late. This book is an attempt to point the way. It has no equations and very little jargon; nor does it pull any punches, either in explaining how game theory works or in exposing the follies of famous metaphysicians.

Modernizing Epicurean Scientific Philosophy

Crooked Thinking or Straight Talk?

Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.

A Very Short Introduction

Game Theory

This is a light-hearted introduction to game theory suitable for advanced undergraduate students or beginning graduate students. It answers three questions. What is game theory? How is game theory applied? Why is game theory right?

It is widely held that Bayesian decision theory is the final word on how a rational person should make decisions. However, Leonard Savage--the inventor of Bayesian decision theory--argued that it would be ridiculous to use his theory outside the kind of small world in which it is always possible to "look before you leap." If taken seriously, this view makes Bayesian decision theory inappropriate for the large worlds of scientific discovery and macroeconomic enterprise. When is it correct to use Bayesian decision theory--and when does it need to be modified? Using a minimum of mathematics, Rational Decisions clearly explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. The book is a wide-ranging exploration of standard theories of choice and belief under risk and uncertainty. Ken Binmore discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress. In arguing that the Bayesian approach to knowledge is inadequate in a large world, Binmore proposes an extension to Bayesian decision theory--allowing the idea of a mixed strategy in game theory to be expanded to a larger set of what Binmore refers to as "muddled" strategies. Written by one of the world's leading game theorists, Rational Decisions is the touchstone for anyone needing a concise, accessible, and expert view on Bayesian decision making.

Rational Decisions

Cet ouvrage couvre la totalité de la théorie des jeux non coopératifs, en particulier : * les jeux à somme nulle; * les jeux à information parfaite et complète; * les jeux à information complète et imparfaite; * les jeux répétés; * les jeux à information incomplète. De plus, il aborde des domaines ou des thèmes tels que le marchandage, les jeux d'évolution, la connaissance commune et le poker, qui ne sont généralement pas traités dans des manuels comparables. L'ouvrage présente un grand caractère pédagogique et est parsemé de nombreux rappels de mathématiques ou de théorie des probabilités. C'est ce qui explique qu'il s'adresse aussi bien aux étudiants des premiers cycles de diverses disciplines (économie, gestion, sciences politiques ou sociales, mathématiques) ainsi qu'à ceux des deuxièmes cycles en gestion et en économie.

Ken Binmore

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