Game Of Nim Graph Theory

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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.

Combinatorial Game Theory

Author : Richard J. Nowakowski
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110755491
Total Pages : 530 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Combinatorial Game Theory by : Richard J. Nowakowski

Download or read book Combinatorial Game Theory written by Richard J. Nowakowski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-08-22 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians. This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.

The Theory of Graphs

Author : Claude Berge
Publisher : Courier Corporation
ISBN 13 : 9780486419756
Total Pages : 276 pages
Book Rating : 4.4/5 (197 download)

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Book Synopsis The Theory of Graphs by : Claude Berge

Download or read book The Theory of Graphs written by Claude Berge and published by Courier Corporation. This book was released on 2001-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory. 1966 edition. Includes 109 black-and-white illustrations.

The Dots and Boxes Game

Author : Elwyn R. Berlekamp
Publisher : CRC Press
ISBN 13 : 1482208490
Total Pages : 144 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis The Dots and Boxes Game by : Elwyn R. Berlekamp

Download or read book The Dots and Boxes Game written by Elwyn R. Berlekamp and published by CRC Press. This book was released on 2000-07-18 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or boxes has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gamepla

Graph Theory with Applications to Engineering and Computer Science

Author : Narsingh Deo
Publisher : Courier Dover Publications
ISBN 13 : 0486820815
Total Pages : 498 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Graph Theory with Applications to Engineering and Computer Science by : Narsingh Deo

Download or read book Graph Theory with Applications to Engineering and Computer Science written by Narsingh Deo and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding introductory treatment, geared toward advanced undergraduates and graduate students who require knowledge of graph theory. The first nine chapters constitute an excellent overview; the remaining chapters are more advanced and provide material for a variety of courses. 1974 edition.

A Seminar on Graph Theory

Author : Frank Harary
Publisher : Courier Dover Publications
ISBN 13 : 0486796841
Total Pages : 129 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis A Seminar on Graph Theory by : Frank Harary

Download or read book A Seminar on Graph Theory written by Frank Harary and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.

Game of Nim and Graph Theory

Author : Rebecca Rapoport
Publisher : Quarry -- Quarto Library
ISBN 13 : 1631594532
Total Pages : 18 pages
Book Rating : 4.6/5 (315 download)

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Book Synopsis Game of Nim and Graph Theory by : Rebecca Rapoport

Download or read book Game of Nim and Graph Theory written by Rebecca Rapoport and published by Quarry -- Quarto Library. This book was released on 2018-08 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn about one of the oldest and one of the most fun games invented. Nim is one of the oldest games, probably first played in China more than 1,000 years ago.

Games of No Chance

Author : Richard J. Nowakowski
Publisher : Cambridge University Press
ISBN 13 : 9780521646529
Total Pages : 556 pages
Book Rating : 4.6/5 (465 download)

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Book Synopsis Games of No Chance by : Richard J. Nowakowski

Download or read book Games of No Chance written by Richard J. Nowakowski and published by Cambridge University Press. This book was released on 1998-11-13 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is Nine-Men Morris, in the hands of perfect players, a win for white or for black - or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches and minies? This book deals with combinatorial games, that is, games not involving chance or hidden information. Their study is at once old and young: though some games, such as chess, have been analyzed for centuries, the first full analysis of a nontrivial combinatorial game (Nim) only appeared in 1902. The first part of this book will be accessible to anyone, regardless of background: it contains introductory expositions, reports of unusual tournaments, and a fascinating article by John H. Conway on the possibly everlasting contest between an angel and a devil. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go; reports on computer advances such as the solution of Nine-Men Morris and Pentominoes; and theoretical approaches to such problems as games with many players. If you have read and enjoyed Martin Gardner, or if you like to learn and analyze new games, this book is for you.

Graph Theory Notes of New York

Author :
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Graph Theory Notes of New York by :

Download or read book Graph Theory Notes of New York written by and published by . This book was released on 2004 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lessons in Play

Author : Michael Albert
Publisher : CRC Press
ISBN 13 : 1439864373
Total Pages : 298 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Lessons in Play by : Michael Albert

Download or read book Lessons in Play written by Michael Albert and published by CRC Press. This book was released on 2007-07-02 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial games are games of pure strategy involving two players, with perfect information and no element of chance. Starting from the very basics of gameplay and strategy, the authors cover a wide range of topics, from game algebra to special classes of games. Classic techniques are introduced and applied in novel ways to analyze both old and

Games of No Chance 3

Author : Michael H. Albert
Publisher : Cambridge University Press
ISBN 13 : 0521861349
Total Pages : 577 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Games of No Chance 3 by : Michael H. Albert

Download or read book Games of No Chance 3 written by Michael H. Albert and published by Cambridge University Press. This book was released on 2009-05-29 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.

An Introduction to Linear Programming and Game Theory

Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

Introducing Game Theory and its Applications

Author : Elliott Mendelson
Publisher : CRC Press
ISBN 13 : 1482285878
Total Pages : 272 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introducing Game Theory and its Applications by : Elliott Mendelson

Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2016-02-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Game Theory through Examples

Author : Erich Prisner
Publisher : American Mathematical Soc.
ISBN 13 : 1614441154
Total Pages : 287 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Game Theory through Examples by : Erich Prisner

Download or read book Game Theory through Examples written by Erich Prisner and published by American Mathematical Soc.. This book was released on 2014-12-31 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems, and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play; that maxim is embodied in this book. Game Theory through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.

Mathematical Games, Abstract Games

Author : Joao Pedro Neto
Publisher : Courier Corporation
ISBN 13 : 0486315789
Total Pages : 209 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematical Games, Abstract Games by : Joao Pedro Neto

Download or read book Mathematical Games, Abstract Games written by Joao Pedro Neto and published by Courier Corporation. This book was released on 2013-05-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: User-friendly, visually appealing collection offers both new and classic strategic board games. Includes abstract games for two and three players and mathematical games such as Nim and games on graphs.

Mathematical Go

Author : Elwyn Berlekamp
Publisher : CRC Press
ISBN 13 : 1439863555
Total Pages : 256 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Go by : Elwyn Berlekamp

Download or read book Mathematical Go written by Elwyn Berlekamp and published by CRC Press. This book was released on 1994-02-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient game of Go is one of the less obvious candidates for mathematical analysis. With the development of new concepts in combinatorial game theory, the authors have been able to analyze Go games and find solutions to real endgame problems that have stumped professional Go players. Go players with an interest in mathematics and mathematicians

Winning Ways for Your Mathematical Plays

Author : Elwyn R. Berlekamp
Publisher : CRC Press
ISBN 13 : 0429945590
Total Pages : 343 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Winning Ways for Your Mathematical Plays by : Elwyn R. Berlekamp

Download or read book Winning Ways for Your Mathematical Plays written by Elwyn R. Berlekamp and published by CRC Press. This book was released on 2018-05-08 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.