Topics In Mathematical Economics And Game Theory

Author : Robert J. Aumann,Myrna Holtz Wooders
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 45,9 Mb
Release : 1999
Category : Business & Economics
ISBN : 0821805258

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Topics in Mathematical Economics and Game Theory by Robert J. Aumann,Myrna Holtz Wooders Pdf

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 : R. Henn,O. Moeschlin
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642454943

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Mathematical Economics and Game Theory by R. Henn,O. Moeschlin Pdf

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 51,7 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9780486462653

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Mathematical Methods of Game and Economic Theory by Jean-Pierre Aubin Pdf

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 : John Eatwell,Murray Milgate,Peter Newman
Publisher : Springer
Page : 275 pages
File Size : 52,7 Mb
Release : 1989-09-01
Category : Business & Economics
ISBN : 9781349201815

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Game Theory by John Eatwell,Murray Milgate,Peter Newman Pdf

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 : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 44,6 Mb
Release : 2014-07-29
Category : Mathematics
ISBN : 9781118899632

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Mathematical Game Theory and Applications by Vladimir Mazalov Pdf

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 : T. Parthasarathy,B. Dutta,J.A.M. Potters,T.E.S. Raghaven,D. Ray,A. Sen
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 45,7 Mb
Release : 2013-06-29
Category : Business & Economics
ISBN : 9781475726404

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Game Theoretical Applications to Economics and Operations Research by T. Parthasarathy,B. Dutta,J.A.M. Potters,T.E.S. Raghaven,D. Ray,A. Sen Pdf

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.

Author : Samuel Karlin
Publisher : Elsevier
Page : 444 pages
File Size : 51,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483222981

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Mathematical Methods and Theory in Games, Programming, and Economics by Samuel Karlin Pdf

Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.

Author : Hans Peters
Publisher : Springer
Page : 494 pages
File Size : 42,8 Mb
Release : 2015-06-04
Category : Mathematics
ISBN : 9783662469507

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Game Theory by Hans Peters Pdf

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Author : Takako Fujiwara-Greve
Publisher : Springer
Page : 260 pages
File Size : 44,9 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9784431556459

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Non-Cooperative Game Theory by Takako Fujiwara-Greve Pdf

This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.

Author : Vasily N Kolokoltsov,Oleg A Malafeyev
Publisher : World Scientific
Page : 411 pages
File Size : 53,9 Mb
Release : 2020-08-21
Category : Mathematics
ISBN : 9789811214875

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Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by Vasily N Kolokoltsov,Oleg A Malafeyev Pdf

Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

Author : Vasilij Nikiti? Kolokol'cov,Oleg Alekseevich Malafeev
Publisher : World Scientific
Page : 301 pages
File Size : 53,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814291729

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Understanding Game Theory by Vasilij Nikiti? Kolokol'cov,Oleg Alekseevich Malafeev Pdf

This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics.

Author : Otto Moeschlin,Diethard Pallaschke
Publisher : North Holland
Page : 486 pages
File Size : 54,8 Mb
Release : 1981
Category : Business & Economics
ISBN : STANFORD:36105037664120

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Game Theory and Mathematical Economics by Otto Moeschlin,Diethard Pallaschke Pdf

Author : Michael Bacharach
Publisher : CRC Press
Page : 526 pages
File Size : 42,6 Mb
Release : 2019-09-18
Category : Mathematics
ISBN : 9780429708084

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Economics and the Theory of Games by Michael Bacharach Pdf

This textbook offers a systematic, self-contained account of the main contributions of modern game theory and its applications to economics. Starting with a detailed description of how to model strategic situations, the discussion proceeds by studying basic solution concepts, their main refinements, games played under incomplete information, and repeated games. For each of these theoretical developments, there is a companion set of applications that cover the most representative instances of game-theoretic analysis in economics, e.g. oligopolistic competition, public goods, coordination failures, bargaining, insurance markets, implementation theory, signaling and auctions. The theory and applications covered in the first part of the book fall under the so-called 'classical' approach to game theory, which is founded on the paradigm of players' unlimited rationality. The second part shifts towards topics that no longer abide by that paradigm. This leads to the study of topics such as the interplay between evolution and rationality.

Author : Tatsuro Ichiishi,Abraham Neyman,Yair Tauman
Publisher : Academic Press
Page : 436 pages
File Size : 52,7 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483295053

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Game Theory and Applications by Tatsuro Ichiishi,Abraham Neyman,Yair Tauman Pdf

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 : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 47,8 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781482285871

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Introducing Game Theory and its Applications by Elliott Mendelson Pdf

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