Discrete Mathematics And Game Theory

Author : Guillermo Owen
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461549918

Get Book

Discrete Mathematics and Game Theory by Guillermo Owen Pdf

This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the `new mathematics' and they also have specific applications in the management sciences.

Author : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 49,6 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781482285871

Get Book

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 : Bernadette Helen Perham
Publisher : Addison-Wesley Longman
Page : 65 pages
File Size : 44,7 Mb
Release : 1999-04-01
Category : Game theory
ISBN : 0201258145

Get Book

Topics in Discrete Math by Bernadette Helen Perham Pdf

Author : Michael H. Albert,Richard J. Nowakowski
Publisher : Cambridge University Press
Page : 577 pages
File Size : 52,9 Mb
Release : 2009-05-29
Category : Mathematics
ISBN : 9780521861342

Get Book

Games of No Chance 3 by Michael H. Albert,Richard J. Nowakowski Pdf

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.

Author : Richard Nowakowski
Publisher : Cambridge University Press
Page : 552 pages
File Size : 41,6 Mb
Release : 2002-11-25
Category : Mathematics
ISBN : 0521808324

Get Book

More Games of No Chance by Richard Nowakowski Pdf

This 2003 book documents mathematical and computational advances in Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex, and more.

Author : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 52,8 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9781118899625

Get Book

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 : Tamer Basar,Geert Jan Olsder
Publisher : SIAM
Page : 526 pages
File Size : 40,8 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9781611971132

Get Book

Dynamic Noncooperative Game Theory by Tamer Basar,Geert Jan Olsder Pdf

Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Author : William F. Lucas,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 52,8 Mb
Release : 1981-12-31
Category : Mathematics
ISBN : 0821867334

Get Book

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

Author : Bernhard von Stengel
Publisher : Cambridge University Press
Page : 375 pages
File Size : 51,9 Mb
Release : 2021-08-19
Category : Business & Economics
ISBN : 9781108843300

Get Book

Game Theory Basics by Bernhard von Stengel Pdf

A lively introduction to Game Theory, ideal for students in mathematics, computer science, or economics.

Author : S.K. Neogy,Ravindra B. Bapat,Dipti Dubey
Publisher : Springer
Page : 226 pages
File Size : 50,9 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811330599

Get Book

Mathematical Programming and Game Theory by S.K. Neogy,Ravindra B. Bapat,Dipti Dubey Pdf

This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory. All contributing authors are eminent researchers in their respective fields, from across the world. This book contains a collection of selected papers presented at the 2017 Symposium on Mathematical Programming and Game Theory at New Delhi during 9–11 January 2017. Researchers, professionals and graduate students will find the book an essential resource for current work in mathematical programming, game theory and their applications in finance, economics and graph theory. The symposium provides a forum for new developments and applications of mathematical programming and game theory as well as an excellent opportunity to disseminate the latest major achievements and to explore new directions and perspectives.

Author : David A. Blackwell,M. A. Girshick
Publisher : Courier Corporation
Page : 388 pages
File Size : 50,6 Mb
Release : 2012-06-14
Category : Mathematics
ISBN : 9780486150895

Get Book

Theory of Games and Statistical Decisions by David A. Blackwell,M. A. Girshick Pdf

Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.

Author : Richard J. Nowakowski
Publisher : Cambridge University Press
Page : 351 pages
File Size : 52,7 Mb
Release : 2015-04-16
Category : Mathematics
ISBN : 9781107011038

Get Book

Games of No Chance 4 by Richard J. Nowakowski Pdf

A mathematical explanation of misere games, in which losing is the goal.

Author : S. K. Neogy
Publisher : World Scientific
Page : 498 pages
File Size : 55,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812813220

Get Book

Mathematical Programming and Game Theory for Decision Making by S. K. Neogy Pdf

This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications. Sample Chapter(s). Foreword (45 KB). Chapter 1: Mathematical Programming and its Applications in Finance (177 KB). Contents: Mathematical Programming and Its Applications in Finance (L C Thomas); Anti-Stalling Pivot Rule for Linear Programs with Totally Unimodular Coefficient Matrix (S N Kabadi & A P Punnen); A New Practically Efficient Interior Point Method for Convex Quadratic Programming (K G Murty); A General Framework for the Analysis of Sets of Constraints (R Caron & T Traynor), Tolerance-Based Algorithms for the Traveling Salesman Problem (D Ghosh et al.); On the Membership Problem of the Pedigree Polytope (T S Arthanari); Exact Algorithms for a One-Defective Vertex Colouring Problem (N Achuthan et al.); Complementarity Problem Involving a Vertical Block Matrix and Its Solution Using Neural Network Model (S K Neogy et al.); Fuzzy Twin Support Vector Machines for Pattern Classification (R Khemchandani et al.); An Overview of the Minimum Sum of Absolute Errors Regression (S C Narula & J F Wellington); Hedging Against the Market with No Short Selling (S A Clark & C Srinivasan); Mathematical Programming and Electrical Network Analysis II: Computational Linear Algebra Through Network Analysis (H Narayanan); Dynamic Optimal Control Policy in Price and Quality for High Technology Product (A K Bardhan & U Chanda); Forecasting for Supply Chain and Portfolio Management (K G Murty); Variational Analysis in Bilevel Programming (S Dempe et al.); Game Engineering (R J Aumann); Games of Connectivity (P Dubey & R Garg); A Robust Feedback Nash Equilibrium in a Climate Change Policy Game (M Hennlock); De Facto Delegation and Proposer Rules (H Imai & K Yonezaki); The Bargaining Set in Effectivity Function (D Razafimahatolotra); Dynamic Oligopoly as a Mixed Large Game OCo Toy Market (A Wiszniewska-Matyszkiel); On Some Classes of Balanced Games (R B Bapat); Market Equilibrium for Combinatorial Auctions and the Matching Core of Nonnegative TU Games (S Lahiri); Continuity, Manifolds, and Arrow''s Social Choice Problem (K Saukkonen); On a Mixture Class of Stochastic Games with Ordered Field Property (S K Neogy). Readership: Researchers, professionals and advanced students in mathematical programming, game theory, management sciences and computational mathematics.

Author : József Beck
Publisher : Cambridge University Press
Page : 750 pages
File Size : 45,5 Mb
Release : 2011-04-28
Category : Mathematics
ISBN : 0521184754

Get Book

Combinatorial Games by József Beck Pdf

Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, József Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Available for the first time in paperback, it includes a new appendix to address the results that have appeared since the book's original publication.

Author : Glenn Shafer,Vladimir Vovk
Publisher : John Wiley & Sons
Page : 438 pages
File Size : 55,6 Mb
Release : 2005-02-25
Category : Business & Economics
ISBN : 9780471461715

Get Book

Probability and Finance by Glenn Shafer,Vladimir Vovk Pdf

Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.