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Author : R. Henn
Publisher : Springer Science & Business Media
ISBN 13 : 3642454941
Total Pages : 714 pages
Book Rating : 4.6/5 (424 download)
Download or read book Mathematical Economics and Game Theory written by R. Henn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.4/5 (864 download)
Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Author : Julio González-Díaz
Publisher : American Mathematical Society
ISBN 13 : 1470465736
Total Pages : 324 pages
Book Rating : 4.4/5 (74 download)
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.
Author : Herve Moulin
Publisher : NYU Press
ISBN 13 : 0814764231
Total Pages : 291 pages
Book Rating : 4.8/5 (147 download)
Download or read book Game Theory for the Social Sciences written by Herve Moulin and published by NYU Press. This book was released on 1986-10-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Herve Moulin's highly successful book outlines the fundamental concepts of game theory—one of the most provocative and fruitful applications of mathematics to the human sciences—and demonstrates its uses in economic and political discourse. Thoroughly revised, and now published with an accompanying workbook of 89 exercises, this rigorous yet accessible test explains the uses of game theory in largely nontechnical terms. Moulin carefully discusses the behavioral scenarios underlying the various equilibrium concepts. He provides a self-contained exposition of basic equilibrium concepts for strategic games: perfect (sophisticated) equilibrium, Nash's noncooperative example, Aumann's strong and correlated example, and several versions of the core. The author is concerned less with mathematical refinements than with helping the reader understand the strategic stories backing these concepts. HIs examples therefore give a fair account of the current game models used in economics, politics, and sociology. Addressed here are oligopoly theory, the provision of public gtoods, auctions, voting procedures, and cost allocation problems, as well as the classic prisoner's dilemma, tic-tac-toe, and Marienbad games. Extremely popular in its original French edition and in its first English version, Moulin's excellent introductory text is now, more than ever, the book to answer the essential questions about the application of game theory to the social sciences.
Author : Samuel Karlin
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by . This book was released on 1959 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Author : Tatsuro Ichiishi
Publisher : Elsevier
ISBN 13 : 1483295060
Total Pages : 177 pages
Book Rating : 4.4/5 (832 download)
Download or read book Game Theory for Economic Analysis written by Tatsuro Ichiishi and published by Elsevier. This book was released on 2014-06-28 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory for Economic Analysis
Author : Vladimir Mazalov
Publisher : John Wiley & Sons
ISBN 13 : 1118899628
Total Pages : 430 pages
Book Rating : 4.1/5 (188 download)
Download or read book Mathematical Game Theory and Applications written by Vladimir Mazalov and published by John Wiley & Sons. This book was released on 2014-10-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.
Author : James N. Webb
Publisher : Springer Science & Business Media
ISBN 13 : 1846286360
Total Pages : 237 pages
Book Rating : 4.8/5 (462 download)
Download or read book Game Theory written by James N. Webb and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The outstanding feature of this book is that it provides a unified account of three types of decision problem. 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 as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.
Author : Ryo Nagata
Publisher : World Scientific
ISBN 13 : 981448265X
Total Pages : 236 pages
Book Rating : 4.8/5 (144 download)
Download or read book Theory of Regular Economies written by Ryo Nagata and published by World Scientific. This book was released on 2004-07-14 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues. Contents:Foundations of Regular Economies:What Is a Regular Economy?Regular Economies and GenericityFormalization of Regular EconomiesThe Number of Equilibria in Regular EconomiesStability of Equilibria in Regular EconomiesTransversality and Regular Economies:Space of Utility FunctionsTransversality and Regular EconomiesTransversality Theorems and Regular EconomiesThe Number of Extended Equilibria in Regular EconomiesDevelopments of Regular Economies:Production Economy with Linear ActivitiesIncomplete Markets IIncomplete Markets II Readership: Upper level undergraduates, graduate students and researchers involved with the application of mathematics to economic analysis. Keywords:General Equilibrium Theory;Regular Economy;Finiteness of Equilibria;Genericity;Transversality;Activity Analysis;Incomplete MarketReviews:“Professional mathematical economics, as well as second-year PhD students who have mastered, will enjoy this book. The presentation is clear throughout, and the proofs clean.”Mathematical Reviews “This small book, rich in content concerning the theory of regular economies and (some of) its applications, represents successfully connections between economical analysis and its purely mathematical counterpart … The book is equipped with a lot of improvements and supplements. It is highly interesting to those, who live in the big and beautiful world of mathematical economics.”Zentralblatt MATH '
Author : A. J. Jones
Publisher : Horwood Publishing
ISBN 13 : 9781898563143
Total Pages : 304 pages
Book Rating : 4.5/5 (631 download)
Download or read book Game Theory written by A. J. Jones and published by Horwood Publishing. This book was released on 2000-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.
Author : Elliott Mendelson
Publisher : CRC Press
ISBN 13 : 1482285878
Total Pages : 272 pages
Book Rating : 4.4/5 (822 download)
Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2016-02-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In
Author : Otto Moeschlin
Publisher : North Holland
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.F/5 ( download)
Download or read book Game Theory and Mathematical Economics written by Otto Moeschlin and published by North Holland. This book was released on 1981 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Aumann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821805251
Total Pages : 306 pages
Book Rating : 4.8/5 (52 download)
Download or read book Topics in Mathematical Economics and Game Theory written by Robert J. Aumann and published by American Mathematical Soc.. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.
Author : Tatsuro Ichiishi
Publisher : Academic Press
ISBN 13 : 1483295052
Total Pages : 449 pages
Book Rating : 4.4/5 (832 download)
Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. Explains many of the recent central developments in game theory Highlights new research directions in economic theory which surpass the neoclassical paradigm Includes game-theoretical analyses in economics, political science, and biology Written by leading game theorists, economists, political scientists, and biologists
Author : Aviad Heifetz
Publisher : Cambridge University Press
ISBN 13 : 0521176042
Total Pages : 461 pages
Book Rating : 4.5/5 (211 download)
Download or read book Game Theory written by Aviad Heifetz and published by Cambridge University Press. This book was released on 2012-05-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the fundamentals of game theory for undergraduates and MBA students.
Author : John Eatwell
Publisher : Springer
ISBN 13 : 1349201812
Total Pages : 275 pages
Book Rating : 4.3/5 (492 download)
Download or read book Game Theory written by John Eatwell and published by Springer. This book was released on 1989-09-01 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an extract from the 4-volume dictionary of economics, a reference book which aims to define the subject of economics today. 1300 subject entries in the complete work cover the broad themes of economic theory. It concentrates on the topic of game theory.
Author : T. Parthasarathy
Publisher : Springer Science & Business Media
ISBN 13 : 1475726406
Total Pages : 304 pages
Book Rating : 4.4/5 (757 download)
Download or read book Game Theoretical Applications to Economics and Operations Research written by T. Parthasarathy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR related problems. It brings together the contributions of a wide spectrum of disciplines such as Statistics, Mathematics, Mathematical Economics and OR. The contributions include decision theory, stochastic games, cooperative and noncooperative games. The papers in the volume are classified under five different sections. The first four sections are devoted to the theory of two-person games, linear complimentarity problems and game theory, cooperative and noncooperative games. The fifth section contains diverse applications of these various theories. Taken together they exhibit a rich versatility of these theories and lively interaction between the mathematical theory of games and significant economic problems.
