game theory and mathematical economics

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Game Theory And Mathematical Economics

Author : Otto Moeschlin
ISBN : STANFORD:36105037664120
Genre : Business & Economics
File Size : 86. 4 MB
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Mathematical Economics And Game Theory

Author : R. Henn
ISBN : 9783642454943
Genre : Business & Economics
File Size : 42. 76 MB
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Essays In Game Theory And Mathematical Economics In Honor Of Oskar Morgenstern

Author : Robert J. Aumann
ISBN : STANFORD:36105005531418
Genre : Business & Economics
File Size : 82. 88 MB
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Topics In Mathematical Economics And Game Theory

Author : Myrna Holtz Wooders
ISBN : UOM:39015041886766
Genre : Economics, Mathematical
File Size : 80. 33 MB
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Mathematical Methods Of Game And Economic Theory

Author : Jean-Pierre Aubin
ISBN : 9780486462653
Genre : Mathematics
File Size : 49. 63 MB
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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.

Topics In Mathematical Economics And Game Theory

Author : Robert J. Aumann
ISBN : 0821805258
Genre : Mathematics
File Size : 72. 51 MB
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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.

Mathematical Methods And Theory In Games Programming And Economics

Author : Samuel Karlin
ISBN : 9781483222981
Genre : Mathematics
File Size : 29. 18 MB
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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.

Theory Of Games And Economic Behavior

Author : John von Neumann
ISBN : 9781400829460
Genre : Business & Economics
File Size : 44. 12 MB
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This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, 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. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

Fixed Point Theorems With Applications To Economics And Game Theory

Author : Kim C. Border
ISBN : 0521388082
Genre : Business & Economics
File Size : 72. 88 MB
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This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

Game Theory And Economic Applications

Author : Bhaskar Dutta
ISBN : STANFORD:36105000420658
Genre : Business & Economics
File Size : 73. 46 MB
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This book deals with various strands of decision and game theory, and their applications to a variety of economic problems. It brings together the contributions of a wide spectrum of discipline ranging from statistics and mathematics to mathematical economics, industrial organisation and operations research. The papers included represent original contributions orstate-of-the-art surveys by internationally renowned scholars in their respective areas and have been refereed according to the standards of high quality journals. The first four sections comprise Decision Theory, Stochastic Games, Cooperative and Noncooperative Games, and will appeal to game theorists, statisticians and operations researchers. The fifth section includes applictions to economic problems such as bilateral bargaining, learning behaviour in oligopolies, financial markets with asymmetric information, information trading, technology transfer, multisectoral growth and collective choice. These will appeal to economists in developed and developing countries alike, as well as to specialist in business disciplines.

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