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Mathematical Methods And Theory In Games Programming And Economics
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Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods and Theory in Games, Programming, and Economics, Volume II provides information pertinent to the mathematical theory of games of strategy. This book presents the mathematical tools for manipulating and analyzing large sets of strategies. Organized into nine chapters, this volume begins with an overview of the fundamental concepts in game theory, namely, strategy and pay-off. This text then examines the identification of strategies with points in Euclidean n-space, which is a convenience that simplifies the mathematical analysis. Other chapters provide a discussion of the theory of finite convex games. This book discusses as well the extension of the theory of convex continuous games to generalized convex games, which leads to the characterization that such games possess optimal strategies of finite type. The final chapter deals with the components of a simple two-person poker game. This book is a valuable resource for mathematicians, statisticians, economists, social scientists, and research workers.
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games by :
Download or read book Mathematical Methods and Theory in Games written by and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games written by Samuel Karlin and published by . This book was released on 1959 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economcis by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economcis written by Samuel Karlin and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by . This book was released on 1959 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games, Programming and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming and Economics written by Samuel Karlin and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods and Theory in Games, Programming and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming and Economics written by Samuel Karlin and published by . This book was released on 1959 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Methods of Game and Economic Theory by : Jean-Pierre Aubin
Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Courier Corporation. This book was released on 2003-01-01 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: This single-volume edition of a 2-volume set, discusses the theory of matrix games, linear and nonlinear programming, and mathematical economics while clarifying key mathematical concepts and demonstrates their applicability. 1959 edition.
Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics: The theory of infinite games by : Samuel Karlin
Download or read book Mathematical Methods and Theory in Games, Programming, and Economics: The theory of infinite games written by Samuel Karlin and published by . This book was released on 1959 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Programming and Game Theory for Decision Making by : S. K. Neogy
Download or read book Mathematical Programming and Game Theory for Decision Making written by S. K. Neogy and published by World Scientific. This book was released on 2008 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by : Vasily N Kolokoltsov
Download or read book Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) written by Vasily N Kolokoltsov and published by World Scientific. This book was released on 2020-08-21 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.
Book Synopsis Understanding Game Theory by : Vasilij Nikiti? Kolokol'cov
Download or read book Understanding Game Theory written by Vasilij Nikiti? Kolokol'cov and published by World Scientific. This book was released on 2010 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics.
Book Synopsis Discrete Mathematics and Game Theory by : Guillermo Owen
Download or read book Discrete Mathematics and Game Theory written by Guillermo Owen and published by Springer Science & Business Media. This book was released on 1999-11-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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
