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Book A Course on Cooperative Game Theory

Download or read book A Course on Cooperative Game Theory written by Satya R. Chakravarty and published by Cambridge University Press. This book was released on 2015-02-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--

Book Foundations of Non cooperative Game Theory

Download or read book Foundations of Non cooperative Game Theory written by Klaus Ritzberger and published by Oxford University Press on Demand. This book was released on 2002 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a comprehensive overview of the main developments in game theory since the 1950s. It provides a wide variety of examples and exercises, mostly drawn from applications in economics, to illustrate key concepts and ideas in the field. The book should prove an invaluable reference tool for teachers, students, and researchers of microeconomics and game theory.

Book On Coordination in Non Cooperative Game Theory

Download or read book On Coordination in Non Cooperative Game Theory written by Lauren Larrouy and published by Springer Nature. This book was released on 2023-08-17 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: By offering a critical assessment of the evolution of standard game theory, this book argues for a shift in the ontology and methodology of game theory for appraising games, one based on understanding the players’ strategic reasoning process. Analyzing the history of economic thought, the book highlights the methodological issues faced by standard game theory in its treatment of strategic reasoning and the consequence it has on the status of players’ beliefs. It also highlights how the two original contributions of T. C. Schelling and M. Bacharach can be applied to these issues. Furthermore, the book assesses the intersubjective dimension in games by applying the cognitive sciences and by integrating simulation theory into game theory. Consequently, this book offers an interdisciplinary approach for reassessing the nature of the intersubjectivity involved in strategic reasoning. It shows that the analysis of games should involve the study and identification of the reasoning process that leads the players to a specific outcome, i.e., to a specific solution. A game should not be understood (as is done in standard game theory) as a mathematical representation of an individual choice at equilibrium. This requires investigating the players’ capacity for coordination. Understanding the process of coordination allows us to understand strategic reasoning and ultimately to provide new answers to the indeterminacy problem, one of the central hurdles in game theory, and one that underscores its normative difficulties.

Book Noncooperative Game Theory

Download or read book Noncooperative Game Theory written by João P. Hespanha and published by Princeton University Press. This book was released on 2017-06-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included

Book Stability and Perfection of Nash Equilibria

Download or read book Stability and Perfection of Nash Equilibria written by Eric van Damme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen a steady increase in the application of concepts from noncooperative game theory to such diverse fields as economics, political science, law, operations research, biology and social psychology. As a byproduct of this increased activity, there has been a growing awareness of the fact that the basic noncooperative solution concept, that of Nash equilibrium, suffers from severe drawbacks. The two main shortcomings of this concept are the following: (i) In extensive form games, a Nash strategy may prescribe off the equilibrium path behavior that is manifestly irrational. (Specifically, Nash equilibria may involve incredible threats), (ii) Nash equilibria need not be robust with respect to small perturbations in the data of the game. Confronted with the growing evidence to the detriment of the Nash concept, game theorists were prompted to search for more refined equilibrium notions with better properties and they have come up with a wide array of alternative solution concepts. This book surveys the most important refinements that have been introduced. Its objectives are fourfold (i) to illustrate desirable properties as well as drawbacks of the various equilibrium notions by means of simple specific examples, (ii) to study the relationships between the various refinements, (iii) to derive simplifying characterizations, and (iv) to discuss the plausibility of the assumptions underlying the concepts.

Book An Introductory Course on Mathematical Game Theory

Download or read book An Introductory Course on Mathematical Game Theory written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2021-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.

Book The Evolution of Cooperation

Download or read book The Evolution of Cooperation written by Robert Axelrod and published by Basic Books. This book was released on 2009-04-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

Book Dynamic Noncooperative Game Theory

Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Book Classics in Game Theory

Download or read book Classics in Game Theory written by Harold William Kuhn and published by Princeton University Press. This book was released on 2020-11-10 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.

Book Strategic Foundations of General Equilibrium

Download or read book Strategic Foundations of General Equilibrium written by Douglas Gale and published by Cambridge University Press. This book was released on 2000-08-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of competition has held a central place in economic analysis since Adam Smith. This book, written by one of the most distinguished of contemporary economic theorists, reports on a major research program to provide strategic foundations for the theory of perfect competition. Beginning with a concise survey of how the theory of competition has evolved, Gale makes extensive and rigorous use of dynamic matching and bargaining models to provide a more complete description of how a competitive equlibrium is achieved. Whereas economists have made use of a macroscopic description of markets in which certain behavioral characteristics, such as price-taking behavior, are taken for granted, Gale uses game theory to re-evaluate this assumption, beginning with individual agents and modelling their strategic interaction. A strategic foundation for competitive equilibrium shows how such interaction leads to competitive, price-taking behavior. Essential reading for graduate courses in game theory and general equilibrium.

Book A Game Theoretic Perspective on Coalition Formation

Download or read book A Game Theoretic Perspective on Coalition Formation written by Debraj Ray and published by Oxford University Press. This book was released on 2007-11 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing 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.

Book Cooperative Game Theory and Applications

Download or read book Cooperative Game Theory and Applications written by Imma Curiel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.

Book Twenty Lectures on Algorithmic Game Theory

Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer 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.

Book Game Theory Basics

Download or read book Game Theory Basics written by Bernhard von Stengel and published by Cambridge University Press. This book was released on 2021-08-19 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively introduction to Game Theory, ideal for students in mathematics, computer science, or economics.

Book Foundations of Game Theory

Download or read book Foundations of Game Theory written by Nicolai N. Vorob'ev and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.

Book Explaining Technical Change

Download or read book Explaining Technical Change written by Jon Elster and published by CUP Archive. This book was released on 1983-06-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technical change, defined as the manufacture and modification of tools, is generally thought to have played an important role in the evolution of intelligent life on earth, comparable to that of language. In this volume, first published in 1983, Jon Elster approaches the study of technical change from an epistemological perspective. He first sets out the main methods of scientific explanation and then applies those methods to some of the central theories of technical change. In particular, Elster considers neoclassical, evolutionary, and Marxist theories, whilst also devoting a chapter to Joseph Schumpeter's influential theory.

Book Microfoundations

Download or read book Microfoundations written by Maarten Janssen and published by Routledge. This book was released on 2005-07-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: All economists are familiar with the division of the subject into microeconomics and macroeconomics. However, few economists are able to give an accurate account of what distinguishes micro and macro. The increasing interest in the `microfoundations of macroeconomics' has typically attracted those who feel that economics is about the rational behaviour of individuals and who regard macro propositions as a consequence of the intentions of individuals. As a result, `microfoundations' have come to be synonymous with theories of individual behaviour. However, Maarten Janssen argues that it is microeconomics' concern with the functioning of markets that underlies theories of microfoundations. This claim is substantiated by an analysis of the aggregation problem, of the foundations of equilibrium theories, of the rational expectations hypothesis, and of a model from the New Keynesian literature.