GAME-THEORY-A-VERY-SHORT-INTRODUCTION

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Game Theory A Very Short Introduction

Author : Ken Binmore
ISBN : 9780199218462
Genre : Business & Economics
File Size : 59.72 MB
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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.
Category: Business & Economics

Choice Theory A Very Short Introduction

Author : Michael Allingham
ISBN : 9780191579264
Genre : Business & Economics
File Size : 22.20 MB
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We make choices all the time - about trivial matters, about how to spend our money, about how to spend our time, about what to do with our lives. And we are also constantly judging the decisions other people make as rational or irrational. But what kind of criteria are we applying when we say that a choice is rational? What guides our own choices, especially in cases where we don't have complete information about the outcomes? What strategies should be applied in making decisions which affect a lot of people, as in the case of government policy? This book explores what it means to be rational in all these contexts. It introduces ideas from economics, philosophy, and other areas, showing how the theory applies to decisions in everyday life, and to particular situations such as gambling and the allocation of resources. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Category: Business & Economics

Essentials Of Game Theory

Author : Kevin Leyton-Brown
ISBN : 9781598295931
Genre : Computers
File Size : 30.75 MB
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Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them. Table of Contents: Games in Normal Form / Analyzing Games: From Optimality to Equilibrium / Further Solution Concepts for Normal-Form Games / Games with Sequential Actions: The Perfect-information Extensive Form / Generalizing the Extensive Form: Imperfect-Information Games / Repeated and Stochastic Games / Uncertainty about Payoffs: Bayesian Games / Coalitional Game Theory / History and References / Index
Category: Computers

Adam Smith A Very Short Introduction

Author : Christopher J. Berry
ISBN : 9780191087288
Genre : Business & Economics
File Size : 22.33 MB
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In 1776 Adam Smith (1723-90) wrote The Wealth of Nations , a book so foundational it has led to him being called the 'father of economics'. Today he is associated with the promotion of self-interest, a defence of greed and a criticism of any governmental 'interference' in market transactions which, if left to the 'invisible hand', will produce prosperity and liberty. Yet if Smith is actually read these associations are more a caricature than a faithful portrait. In this Very Short Introduction, Christopher Berry offers a balanced and nuanced view of this seminal thinker, embedding his fierce defence of free trade, competition, and assault on special interests in contemporary European history, politics, and philosophy. As Berry explores, Smith was far more than an economist. His book The Theory of Moral Sentiment, offered a complex account of ethics in the context of human social behaviour. His scope as a professor at the University of Glasgow, a major centre of the Scottish Enlightenment, was extensive. Beyond courses in philosophy and jurisprudence he also gave classes covering history, literature, and language. In addition to his two major works he also wrote a pioneering study of the history of astronomy as an illustration of the motivations that drive humans to seek answers to questions. He produced, again derived from his Glasgow classroom, an analysis of the development of grammar and language. As Christopher Berry shows, Adam Smith was no narrow thinker, but rather one who produced not only one of the greatest books in the history of social science, but also a wide-ranging body of work that remains significant today. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Category: Business & Economics

Economics

Author : Partha Dasgupta
ISBN : 9780192853455
Genre : Business & Economics
File Size : 85.49 MB
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Combining a global approach with examples from everyday life, this work describes the lives of two children who live very different lives in different parts of the world: in the Mid-West USA and in Ethiopia. Along the way, it provides an introduction to key economic factors and concepts such as individual choices, national policies, and equity.
Category: Business & Economics

Microeconomics

Author : Avinash Dixit
ISBN : 9780199689378
Genre : Business & Economics
File Size : 83.39 MB
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The issues of microeconomics - including individuals' financial choices and firms' decisions about hiring and firing - have a large impact on the economic world, arguably as much, if not more than, macroeconomics. In this Very Short Introduction Avinash Dixit clearly explains what microeconomics is by using examples from around the world.
Category: Business & Economics

Computational Aspects Of Cooperative Game Theory

Author : Georgios Chalkiadakis
ISBN : 9781608456536
Genre : Computers
File Size : 47.54 MB
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Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.
Category: Computers

Rational Decisions

Author : Ken Binmore
ISBN : 1400833094
Genre : Mathematics
File Size : 86.90 MB
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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.
Category: Mathematics

Risk A Very Short Introduction

Author : Baruch Fischhoff
ISBN : 9780191620249
Genre : Business & Economics
File Size : 74.21 MB
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We find risks everywhere—from genetically modified crops, medical malpractice, and stem-cell therapy to intimacy, online predators, identity theft, inflation, and robbery. They arise from our own acts and they are imposed on us. In this Very Short Introduction, Baruch Fischhoff and John Kadvany draw on the sciences and humanities to explore and explain the many kinds of risk. Using simple conceptual frameworks from decision theory and behavioural research, they examine the science and practice of creating measures of risk, showing how scientists address risks by combining historical records, scientific theories, probability, and expert judgment.Risk: A Very Short Introduction describes what has been learned by cognitive scientists about how people deal with risks, applying these lessons to diverse examples, and demonstrating how understanding risk can aid choices in everyday life and public policies for health, safety, environment, finance, and many other topics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Category: Business & Economics

Convexity And Well Posed Problems

Author : Roberto Lucchetti
ISBN : 9780387310824
Genre : Mathematics
File Size : 77.52 MB
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This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it. Moreover, we shall consider extended real valued functions, i. e. , functions taking possibly the values?? and +?. The reason for considering the value +? is the powerful device of including the constraint set of a constrained minimum problem into the objective function itself (by rede?ning it as +? outside the constraint set). Except for trivial cases, the minimum value must be taken at a point where the function is not +?, hence at a point in the constraint set. And the value ?? is allowed because useful operations, such as the inf-convolution, can give rise to functions valued?? even when the primitive objects are real valued. Observe that de?ning the objective function to be +? outside the closed constraint set preserves lower semicontinuity, which is the pivotal and mi- mal continuity assumption one needs when dealing with minimum problems. Variational calculus is usually based on derivatives.
Category: Mathematics