Mathematical Game Theory And Applications

Author : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 45,8 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9781118899625

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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 : Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro
Publisher : American Mathematical Society
Page : 324 pages
File Size : 53,9 Mb
Release : 2021-10-22
Category : Mathematics
ISBN : 9781470465735

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An Introductory Course on Mathematical Game Theory by Julio González-Díaz,Ignacio García-Jurado,M. Gloria Fiestras-Janeiro Pdf

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 : L. C. Thomas
Publisher : Courier Corporation
Page : 284 pages
File Size : 45,5 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9780486143736

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Games, Theory and Applications by L. C. Thomas Pdf

This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.

Author : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 46,7 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

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
Page : 658 pages
File Size : 43,5 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 : Rufus Isaacs
Publisher : Courier Corporation
Page : 416 pages
File Size : 45,5 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486135984

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Differential Games by Rufus Isaacs Pdf

Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 332 pages
File Size : 47,9 Mb
Release : 2013-06-17
Category : Mathematics
ISBN : 9780486143675

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N-Person Game Theory by Anatol Rapoport Pdf

DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Author : Tatsuro Ichiishi,Abraham Neyman,Yair Tauman
Publisher : Academic Press
Page : 436 pages
File Size : 40,5 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 : William F. Lucas,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 41,6 Mb
Release : 1981-12-31
Category : Mathematics
ISBN : 0821867334

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Game Theory and Its Applications by William F. Lucas,American Mathematical Society Pdf

Author : Melvin Dresher
Publisher : Courier Corporation
Page : 208 pages
File Size : 48,8 Mb
Release : 2012-11-14
Category : Mathematics
ISBN : 9780486150062

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The Mathematics of Games of Strategy by Melvin Dresher Pdf

This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.

Author : Philip D. Straffin
Publisher : American Mathematical Society
Page : 256 pages
File Size : 41,8 Mb
Release : 2023-01-06
Category : Mathematics
ISBN : 9781470471965

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Game Theory and Strategy by Philip D. Straffin Pdf

This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

Author : Akio Matsumoto,Ferenc Szidarovszky
Publisher : Springer
Page : 265 pages
File Size : 46,7 Mb
Release : 2015-09-08
Category : Mathematics
ISBN : 9784431547860

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Game Theory and Its Applications by Akio Matsumoto,Ferenc Szidarovszky Pdf

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 41,7 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144

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Game Theory by A. J. Jones Pdf

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 : Imma Curiel
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 54,6 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9781475748710

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Cooperative Game Theory and Applications by Imma Curiel Pdf

In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.

Author : Andrew M. Colman
Publisher : Elsevier
Page : 314 pages
File Size : 52,9 Mb
Release : 2016-06-06
Category : Business & Economics
ISBN : 9781483137148

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Game Theory and Experimental Games by Andrew M. Colman Pdf

Game Theory and Experimental Games: The Study of Strategic Interaction focuses on the development of game theory, taking into consideration empirical research, theoretical formulations, and research procedures involved. The book proceeds with a discussion on the theory of one-person games. The individual decision that a player makes in these kinds of games is noted as influential as to the outcome of these games. This discussion is followed by a presentation of pure coordination games and minimal situation. The ability of players to anticipate the choices of others to achieve a mutually beneficial outcome is emphasized. A favorable social situation is also influential in these kinds of games. The text moves forward by presenting studies on various kinds of competitive games. The research studies presented are coupled with empirical evidence and discussion designed to support the claims that are pointed out. The book also discusses several kinds of approaches in the study of games. Voting as a way to resolve multi-person games is also emphasized, including voting procedures, the preferences of voters, and voting strategies. The book is a valuable source of data for readers and scholars who are interested in the exploration of game theories.