Mathematical Economics and Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Economics and Game Theory write by R. Henn. This book was released on 2012-12-06. Mathematical Economics and Game Theory available in PDF, EPUB and Kindle.
Mathematical Methods of Game and Economic Theory
Mathematical Methods of Game and Economic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods of Game and Economic Theory write by Jean-Pierre Aubin. This book was released on 2007-01-01. Mathematical Methods of Game and Economic Theory available in PDF, EPUB and Kindle. 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.
Game Theory for Economic Analysis
Game Theory for Economic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Game Theory for Economic Analysis write by Tatsuro Ichiishi. This book was released on 2014-06-28. Game Theory for Economic Analysis available in PDF, EPUB and Kindle. Game Theory for Economic Analysis
An Introductory Course on Mathematical Game Theory
An Introductory Course on Mathematical Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introductory Course on Mathematical Game Theory write by Julio González-Díaz. This book was released on 2021-10-22. An Introductory Course on Mathematical Game Theory available in PDF, EPUB and Kindle. 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.
Game Theory for the Social Sciences
Game Theory for the Social Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Game Theory for the Social Sciences write by Herve Moulin. This book was released on 1986-10-01. Game Theory for the Social Sciences available in PDF, EPUB and Kindle. 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.
