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Author: Robert J. Aumann
Publisher: CRC Press
Published: 2019-04-23
Total Pages: 120
ISBN-13: 0429693338
DOWNLOAD EBOOKThis book is a collection of certain lectures given at the Economics Department at Stanford University on the game theory. It contains material on this theory of rational behavior of people with nonidentical interests whose area of application includes economics, politics, and war.
Author: William Spaniel
Publisher:
Published: 2014
Total Pages: 273
ISBN-13: 9781492728153
DOWNLOAD EBOOKGame Theory 101: The Complete Textbook is a no-nonsense, games-centered introduction to strategic form (matrix) and extensive form (game tree) games. From the first lesson to the last, this textbook introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Quick, efficient, and to the point, Game Theory 101: The Complete Textbook is perfect for introductory game theory, intermediate microeconomics, and political science.
Author: Krzysztof R. Apt
Publisher: Cambridge University Press
Published: 2011-01-06
Total Pages: 308
ISBN-13: 9780521198660
DOWNLOAD EBOOKGames provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also interest researchers working in mathematical logic, computer science and game theory.
Author: Tim Roughgarden
Publisher: Cambridge University Press
Published: 2016-08-30
Total Pages: 356
ISBN-13: 1316781178
DOWNLOAD EBOOKComputer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Author: David M. Kreps
Publisher: Oxford University Press
Published: 1990
Total Pages: 204
ISBN-13: 0198283814
DOWNLOAD EBOOKComprises lectures given at Tel Aviv University and Oxford University in 1990.
Author: Nikolai N. Vorob'ev
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 189
ISBN-13: 1461263417
DOWNLOAD EBOOKThe basis for this book is a number of lectures given frequently by the author to third year students of the Department of Economics at Leningrad State University who specialize in economical cybernetics. The main purpose of this book is to provide the student with a relatively simple and easy-to-understand manual containing the basic mathematical machinery utilized in the theory of games. Practical examples (including those from the field of economics) serve mainly as an interpretation of the mathematical foundations of this theory rather than as indications of their actual or potential applicability. The present volume is significantly different from other books on the theory of games. The difference is both in the choice of mathematical problems as well as in the nature of the exposition. The realm of the problems is somewhat limited but the author has tried to achieve the greatest possible systematization in his exposition. Whenever possible the author has attempted to provide a game-theoretical argument with the necessary mathematical rigor and reasonable generality. Formal mathematical prerequisites for this book are quite modest. Only the elementary tools of linear algebra and mathematical analysis are used.
Author: Tim Roughgarden
Publisher: MIT Press
Published: 2005-05-06
Total Pages: 216
ISBN-13: 9780262264358
DOWNLOAD EBOOKAn analysis of the loss in performance caused by selfish, uncoordinated behavior in networks. Most of us prefer to commute by the shortest route available, without taking into account the traffic congestion that we cause for others. Many networks, including computer networks, suffer from some type of this "selfish routing." In Selfish Routing and the Price of Anarchy, Tim Roughgarden studies the loss of social welfare caused by selfish, uncoordinated behavior in networks. He quantifies the price of anarchy—the worst-possible loss of social welfare from selfish routing—and also discusses several methods for improving the price of anarchy with centralized control. Roughgarden begins with a relatively nontechnical introduction to selfish routing, describing two important examples that motivate the problems that follow. The first, Pigou's Example, demonstrates that selfish behavior need not generate a socially optimal outcome. The second, the counterintiuitve Braess's Paradox, shows that network improvements can degrade network performance. He then develops techniques for quantifying the price of anarchy (with Pigou's Example playing a central role). Next, he analyzes Braess's Paradox and the computational complexity of detecting it algorithmically, and he describes Stackelberg routing, which improves the price of anarchy using a modest degree of central control. Finally, he defines several open problems that may inspire further research. Roughgarden's work will be of interest not only to researchers and graduate students in theoretical computer science and optimization but also to other computer scientists, as well as to economists, electrical engineers, and mathematicians.
Author: Andrés Perea
Publisher: Cambridge University Press
Published: 2012-06-07
Total Pages: 581
ISBN-13: 1107008913
DOWNLOAD EBOOKThe first textbook to explain the principles of epistemic game theory.
Author: Debraj Ray
Publisher: Oxford University Press
Published: 2007-11
Total Pages: 336
ISBN-13: 019920795X
DOWNLOAD EBOOKDrawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.
Author: Kevin Gebser
Publisher: Springer Nature
Published: 2022-05-31
Total Pages: 88
ISBN-13: 3031015452
DOWNLOAD EBOOKGame 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.
