Mathematical Economics and Game Theory
Author : R. Henn
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 39,17 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 3642454941
Author : R. Henn
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 39,17 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 3642454941
Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 14,77 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 048646265X
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 : Tatsuro Ichiishi
Publisher : Elsevier
Page : 177 pages
File Size : 21,48 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 1483295060
Game Theory for Economic Analysis
Author : Samuel Karlin
Publisher :
Page : 408 pages
File Size : 25,49 MB
Release : 1959
Category : Economics, Mathematical
ISBN :
V. 1 : Matrix games, programming, and mathematical economics. v. 2 : The theory of infinite games.
Author : Herve Moulin
Publisher : NYU Press
Page : 291 pages
File Size : 46,5 MB
Release : 1986-10-01
Category : Business & Economics
ISBN : 0814764231
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 : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 46,69 MB
Release : 2000-12
Category : Mathematics
ISBN : 9781898563143
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 : Ryo Nagata
Publisher : World Scientific
Page : 235 pages
File Size : 38,63 MB
Release : 2004-07-14
Category : Business & Economics
ISBN : 981448265X
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.
Author : Julio González-Díaz
Publisher : American Mathematical Society
Page : 324 pages
File Size : 27,69 MB
Release : 2021-10-22
Category : Mathematics
ISBN : 1470465736
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 : Aviad Heifetz
Publisher : Cambridge University Press
Page : 461 pages
File Size : 42,5 MB
Release : 2012-05-31
Category : Business & Economics
ISBN : 0521176042
A guide to the fundamentals of game theory for undergraduates and MBA students.
Author : John Von Neumann
Publisher : Diana
Page : 660 pages
File Size : 40,42 MB
Release : 2020-01-29
Category : Games & Activities
ISBN : 9785608789779
This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.