Some Zero Sum Two Person Games With Moves In The Unit Interval

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Two-Person Zero-Sum Games

Author : Alan Washburn
Publisher : Springer Science & Business Media
ISBN 13 : 1461490502
Total Pages : 207 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Two-Person Zero-Sum Games by : Alan Washburn

Download or read book Two-Person Zero-Sum Games written by Alan Washburn and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Games and Economic Behavior

Author : John Von Neumann
Publisher : Diana
ISBN 13 : 9785608789779
Total Pages : 660 pages
Book Rating : 4.7/5 (897 download)

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Book Synopsis Theory of Games and Economic Behavior by : John Von Neumann

Download or read book Theory of Games and Economic Behavior written by John Von Neumann and published by Diana. This book was released on 2020-01-29 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, 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.

Game Theory, Alive

Author : Anna R. Karlin
Publisher : American Mathematical Soc.
ISBN 13 : 1470419823
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Game Theory, Alive by : Anna R. Karlin

Download or read book Game Theory, Alive written by Anna R. Karlin and published by American Mathematical Soc.. This book was released on 2017-04-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Collected Papers

Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011549
Total Pages : 806 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Collected Papers by : Robert J. Aumann

Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.

Technical Abstract Bulletin

Author : Defense Documentation Center (U.S.)
Publisher :
ISBN 13 :
Total Pages : 1746 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Technical Abstract Bulletin by : Defense Documentation Center (U.S.)

Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1961-04 with total page 1746 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pacific Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 778 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Pacific Journal of Mathematics by :

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1960 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Commencement

Author : University of California, Berkeley
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (313 download)

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Book Synopsis Commencement by : University of California, Berkeley

Download or read book Commencement written by University of California, Berkeley and published by . This book was released on 1960 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Repeated Games with Incomplete Information

Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011471
Total Pages : 372 pages
Book Rating : 4.0/5 (114 download)

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Book Synopsis Repeated Games with Incomplete Information by : Robert J. Aumann

Download or read book Repeated Games with Incomplete Information written by Robert J. Aumann and published by MIT Press. This book was released on 1995 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Two-person Zero-sum Games

Author : Alan R. Washburn
Publisher : INFORMS
ISBN 13 : 1877640190
Total Pages : 137 pages
Book Rating : 4.8/5 (776 download)

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Book Synopsis Two-person Zero-sum Games by : Alan R. Washburn

Download or read book Two-person Zero-sum Games written by Alan R. Washburn and published by INFORMS. This book was released on 2003 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959974
Total Pages : 525 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Game Theory

Author : Steve Tadelis
Publisher : Princeton University Press
ISBN 13 : 0691129088
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Game Theory by : Steve Tadelis

Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Göttingische Zeitungen von gelehrten Sachen

Author :
Publisher :
ISBN 13 :
Total Pages : 1102 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Göttingische Zeitungen von gelehrten Sachen written by and published by . This book was released on 1770 with total page 1102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Game Theory

Author : Melvin Dresher
Publisher : Princeton University Press
ISBN 13 : 140088201X
Total Pages : 693 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Advances in Game Theory by : Melvin Dresher

Download or read book Advances in Game Theory written by Melvin Dresher and published by Princeton University Press. This book was released on 2016-03-02 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of game theory from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Lectures on the Theory of Games (AM-37)

Author : Harold W. Kuhn
Publisher : Princeton University Press
ISBN 13 : 1400829569
Total Pages : 118 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Lectures on the Theory of Games (AM-37) by : Harold W. Kuhn

Download or read book Lectures on the Theory of Games (AM-37) written by Harold W. Kuhn and published by Princeton University Press. This book was released on 2009-04-11 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.

Computational Complexity

Author : Robert A. Meyers
Publisher : Springer
ISBN 13 : 9781461417996
Total Pages : 0 pages
Book Rating : 4.4/5 (179 download)

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Book Synopsis Computational Complexity by : Robert A. Meyers

Download or read book Computational Complexity written by Robert A. Meyers and published by Springer. This book was released on 2011-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The recognition that the collective behavior of the whole system cannot be simply inferred from an understanding of the behavior of the individual components has led to the development of numerous sophisticated new computational and modeling tools with applications to a wide range of scientific, engineering, and societal phenomena. Computational Complexity: Theory, Techniques and Applications presents a detailed and integrated view of the theoretical basis, computational methods, and state-of-the-art approaches to investigating and modeling of inherently difficult problems whose solution requires extensive resources approaching the practical limits of present-day computer systems. This comprehensive and authoritative reference examines key components of computational complexity, including cellular automata, graph theory, data mining, granular computing, soft computing, wavelets, and more.

The New Palgrave Dictionary of Economics

Author :
Publisher : Springer
ISBN 13 : 1349588024
Total Pages : 7493 pages
Book Rating : 4.3/5 (495 download)

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Book Synopsis The New Palgrave Dictionary of Economics by :

Download or read book The New Palgrave Dictionary of Economics written by and published by Springer. This book was released on 2016-05-18 with total page 7493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.

Summaries of Dissertations Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy

Author : University of California, Berkeley. Graduate Division, Northern Section
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Summaries of Dissertations Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy by : University of California, Berkeley. Graduate Division, Northern Section

Download or read book Summaries of Dissertations Submitted in Partial Satisfaction of the Requirements for the Degree of Doctor of Philosophy written by University of California, Berkeley. Graduate Division, Northern Section and published by . This book was released on 1959-07 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: