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Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 241 pages
File Size : 12,11 MB
Release : 2013-01-01
Category : Mathematics
ISBN : 0486281094
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
Author : Alan R. Washburn
Publisher : INFORMS
Page : 137 pages
File Size : 47,15 MB
Release : 2003
Category : Game theory
ISBN : 1877640190
Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 337 pages
File Size : 12,39 MB
Release : 2013-06-17
Category : Mathematics
ISBN : 0486143678
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 : Alan Washburn
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 48,76 MB
Release : 2013-11-29
Category : Business & Economics
ISBN : 1461490502
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 : Anna R. Karlin
Publisher : American Mathematical Soc.
Page : 400 pages
File Size : 39,67 MB
Release : 2017-04-27
Category : Mathematics
ISBN : 1470419823
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 : L. C. Thomas
Publisher : Courier Corporation
Page : 284 pages
File Size : 16,95 MB
Release : 2012-12-13
Category : Mathematics
ISBN : 0486143732
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 : Anatol Rapoport
Publisher :
Page : 229 pages
File Size : 15,32 MB
Release : 1966
Category : Game theory
ISBN : 9780472001156
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, social relationships, etc. Utilities, strategy, game tree and game matrix, theory of games, much more. Minimal math background required.
Author : Anthony Kelly
Publisher : Cambridge University Press
Page : 228 pages
File Size : 48,3 MB
Release : 2003-03-27
Category : Business & Economics
ISBN : 9781139438131
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 : Harold William Kuhn
Publisher : Princeton University Press
Page : 328 pages
File Size : 40,62 MB
Release : 2020-11-10
Category : Business & Economics
ISBN : 1400829151
Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.
Author : Morton D. Davis
Publisher : Courier Corporation
Page : 290 pages
File Size : 47,11 MB
Release : 2012-05-11
Category : Mathematics
ISBN : 0486135152
This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.