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Author : Alan R. Washburn
Publisher : INFORMS
Page : 137 pages
File Size : 48,8 Mb
Release : 2003
Category : Game theory
ISBN : 9781877640193
Author : Alan Washburn
Publisher : Springer
Page : 0 pages
File Size : 42,7 Mb
Release : 2017-04-30
Category : Business & Economics
ISBN : 1489978569
Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
Author : Alan Washburn
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 48,7 Mb
Release : 2013-11-29
Category : Business & Economics
ISBN : 9781461490500
Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
Author : Gerald A. Heuer,Ulrike Leopold-Wildburger
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642468193
The structure of a Silverman game can be explained very quickly: Each of two players independently selects a number out of a prede termined set, not necessarily the same one for both of them. The higher number wins unless it is at least k times as high as the other one; if this is the case the lower number wins. The game ends in a draw if both numbers are equal. k is a constant greater than 1. The simplicity of the rules stimulates the curiosity of the the orist. Admittedly, Silverman games do not seem to have a direct applied significance, but nevertheless much can be learnt from their study. This book succeeds to give an almost complete overview over the structure of optimal strategies and it reveals a surprising wealth of interesting detail. A field like game theory does not only need research on broad questions and fundamental issues, but also specialized work on re stricted topics. Even if not many readers are interested in the subject matter, those who are will appreciate this monograph.
Author : John Neumann,Oskar Morgenstern
Publisher : Createspace Independent Publishing Platform
Page : 664 pages
File Size : 43,8 Mb
Release : 2018-03-23
Category : Electronic
ISBN : 1983879371
This book contains an exposition and various applications of a mathematical theory of games.
Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 241 pages
File Size : 42,8 Mb
Release : 1999-01-20
Category : Mathematics
ISBN : 9780486406862
This fascinating and provocative book presents the fundamentals of two-person game theory, a mathematical approach to understanding human behavior and decision-making.
Author : L. C. Thomas
Publisher : Courier Corporation
Page : 284 pages
File Size : 55,9 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9780486143736
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 : Sylvain Sorin
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 44,7 Mb
Release : 2002-03-07
Category : Business & Economics
ISBN : 3540430288
This volume aims to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It is intended for graduate students with no previous knowledge of the field.
Author : Anna R. Karlin,Yuval Peres
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 43,7 Mb
Release : 2017-04-27
Category : Game theory
ISBN : 9781470419820
We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.
Author : Anthony Kelly
Publisher : Cambridge University Press
Page : 228 pages
File Size : 43,6 Mb
Release : 2003-03-27
Category : Business & Economics
ISBN : 1139438131
Game theory is a key element in most decision-making processes involving two or more people or organisations. This book explains how game theory can predict the outcome of complex decision-making processes, and how it can help you to improve your own negotiation and decision-making skills. It is grounded in well-established theory, yet the wide-ranging international examples used to illustrate its application offer a fresh approach to an essential weapon in the armoury of the informed manager. The book is accessibly written, explaining in simple terms the underlying mathematics behind games of skill, before moving on to more sophisticated topics such as zero-sum games, mixed-motive games, and multi-person games, coalitions and power. Clear examples and helpful diagrams are used throughout, and the mathematics is kept to a minimum. It is written for managers, students and decision makers in any field.
Author : Melvin Dresher
Publisher : Unknown
Page : 64 pages
File Size : 45,6 Mb
Release : 1949
Category : Game theory
ISBN : UOM:39015015630125
Author : Herbert Gintis
Publisher : Princeton University Press
Page : 576 pages
File Size : 50,7 Mb
Release : 2000
Category : Business & Economics
ISBN : 0691009430
The study of strategic action (game theory) is moving from a formal science of rational behavior to an evolutionary tool kit for studying behavior in a broad array of social settings. In this problem-oriented introduction to the field, Herbert Gintis exposes students to the techniques and applications of game theory through a wealth of sophisticated and surprisingly fun-to-solve problems involving human (and even animal) behavior. Game Theory Evolving is innovative in several ways. First, it reflects game theory's expansion into such areas as cooperation in teams, networks, the evolution and diffusion of preferences, the connection between biology and economics, artificial life simulations, and experimental economics. Second, the book--recognizing that students learn by doing and that most game theory texts are weak on problems--is organized around problems, and introduces principles through practice. Finally, the quality of the problems is simply unsurpassed, and each chapter provides a study plan for instructors interested in teaching evolutionary game theory. Reflecting the growing consensus that in many important contexts outside of anonymous markets, human behavior is not well described by classical "rationality," Gintis shows students how to apply game theory to model how people behave in ways that reflect the special nature of human sociality and individuality. This book is perfect for upper undergraduate and graduate economics courses as well as a terrific introduction for ambitious do-it-yourselfers throughout the behavioral sciences.
Author : Robert J. Aumann,Michael Maschler,Richard E. Stearns
Publisher : MIT Press
Page : 372 pages
File Size : 43,8 Mb
Release : 1995
Category : Business & Economics
ISBN : 0262011476
The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others.
Author : U. K. Srivastava,G. V. Shenoy,S. C. Sharma
Publisher : New Age International
Page : 962 pages
File Size : 51,8 Mb
Release : 1989
Category : Business & Economics
ISBN : 8122401899
This Book Is Designed To Serve As A Text For Management, Economics, Accountancy (Chartered And Cost Accountancy), And Commerce Students. The Book Covers Concepts, Illustrations And Problems In Statistics And Operations Research. Part I Deals With Statistical Techniques For Decision Making. Part Ii Studies Various Operations Research Techniques For Managerial Decisions.The Book Contains Illustrations And Problems, Drawn Extensively From Various Functional Areas Of Management, Viz., Production, Finance, Marketing And Personnel, Which Are Designed To Understand Real Life Decision Making Situations. In Order To Make The Book Self-Contained, All Relevant Mathematical Concepts And Their Applications Have Been Included. To Enhance The Understanding Of The Subject Matter By The Students Belonging To Different Disciplines, The Approach Adopted In This Book, Both In Statistics And Operations Research, Is Conceptional Rather Than Mathematical. Hence Complicated Mathematical Proofs Have Been Avoided.This Book Would Be An Ideal Reference To Executives, Computer Professionals, Industrial Engineers, Economic Planners And Social Scientists. The Other Books By The Same Authors Are: Operations Research For Management And Business Statistics.
Author : Philip D. Straffin
Publisher : American Mathematical Society
Page : 256 pages
File Size : 40,8 Mb
Release : 2023-01-06
Category : Mathematics
ISBN : 9781470471965
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.