[PDF] An Introductory Course On Mathematical Game Theory Download

An Introductory Course on Mathematical Game Theory PDF
Author: Julio González-Díaz
Publisher: American Mathematical Soc.
Release Date: 2010
Size: 38.49 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 324
View: 6973

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An Introductory Course On Mathematical Game Theory

Book by Julio González-Díaz, An Introductory Course On Mathematical Game Theory Books available in PDF, EPUB, Mobi Format. Download An Introductory Course On Mathematical Game Theory books, Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.




[PDF] Game Theory Download

Game Theory PDF
Author: Andrew McEachern
Publisher: Morgan & Claypool Publishers
Release Date: 2017-06-15
Size: 22.85 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 117
View: 3824

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Game Theory

Book by Andrew McEachern, Game Theory Books available in PDF, EPUB, Mobi Format. Download Game Theory books, This book is a formalization of collected notes from an introductory game theory course taught at Queen's University. The course introduced traditional game theory and its formal analysis, but also moved to more modern approaches to game theory, providing a broad introduction to the current state of the discipline. Classical games, like the Prisoner's Dilemma and the Lady and the Tiger, are joined by a procedure for transforming mathematical games into card games. Included is an introduction and brief investigation into mathematical games, including combinatorial games such as Nim. The text examines techniques for creating tournaments, of the sort used in sports, and demonstrates how to obtain tournaments that are as fair as possible with regards to playing on courts. The tournaments are tested as in-class learning events, providing a novel curriculum item. Example tournaments are provided at the end of the book for instructors interested in running a tournament in their own classroom. The book is appropriate as a text or companion text for a one-semester course introducing the theory of games or for students who wish to get a sense of the scope and techniques of the field.




[PDF] Game Theory Download

Game Theory PDF
Author: E. N. Barron
Publisher: John Wiley & Sons
Release Date: 2011-02-14
Size: 11.24 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 440
View: 2710

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Game Theory

Book by E. N. Barron, Game Theory Books available in PDF, EPUB, Mobi Format. Download Game Theory books, A fundamental introduction to modern game theory from amathematical viewpoint Game theory arises in almost every fact of human and inhumaninteraction since oftentimes during these communications objectivesare opposed or cooperation is viewed as an option. From economicsand finance to biology and computer science, researchers andpractitioners are often put in complex decision-making scenarios,whether they are interacting with each other or working withevolving technology and artificial intelligence. Acknowledging therole of mathematics in making logical and advantageous decisions,Game Theory: An Introduction uses modern software applications tocreate, analyze, and implement effective decision-makingmodels. While most books on modern game theory are either too abstractor too applied, this book provides a balanced treatment of thesubject that is both conceptual and hands-on. Game Theoryintroduces readers to the basic theories behind games and presentsreal-world examples from various fields of study such as economics,political science, military science, finance, biological science aswell as general game playing. A unique feature of this book is theuse of Maple to find the values and strategies of games, and inaddition, it aids in the implementation of algorithms for thesolution or visualization of game concepts. Maple is also utilizedto facilitate a visual learning environment of game theory and actsas the primary tool for the calculation of complex non-cooperativeand cooperative games. Important game theory topics are presented within the followingfive main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolusconcept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices areprovided to act as a refresher of the basic concepts of linearalgebra, probability, and statistics. Exercises are included at theend of each section along with algorithms for the solution of thegames to help readers master the presented information. Also,explicit Maple and Mathematica® commands are included in thebook and are available as worksheets via the book's related Website. The use of this software allows readers to solve many moreadvanced and interesting games without spending time on the theoryof linear and nonlinear programming or performing other complexcalculations. With extensive examples illustrating game theory's wide range ofrelevance, this classroom-tested book is ideal for game theorycourses in mathematics, engineering, operations research, computerscience, and economics at the upper-undergraduate level. It is alsoan ideal companion for anyone who is interested in the applicationsof game theory.




[PDF] Game Theory Basics Download

Game Theory Basics PDF
Author: Bernhard von Stengel
Publisher: Cambridge University Press
Release Date: 2021-08-31
Size: 15.51 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 376
View: 5099

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Game Theory Basics

Book by Bernhard von Stengel, Game Theory Basics Books available in PDF, EPUB, Mobi Format. Download Game Theory Basics books, Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or economics departments.




[PDF] The Mathematics Of Games Download

The Mathematics of Games PDF
Author: David G. Taylor
Publisher: CRC Press
Release Date: 2014-12-01
Size: 31.18 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 426
View: 2322

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The Mathematics Of Games

Book by David G. Taylor, The Mathematics Of Games Books available in PDF, EPUB, Mobi Format. Download The Mathematics Of Games books, The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books. Written in an accessible, student-friendly style, the book uses questions about various games (not just casino games) to motivate the mathematics. The author explains the examples in detail and offers ample exercises for students to practice their skills. Both "mini-excursions" appearing at the end of each chapter and the appendices delve further into interesting topics, including the St. Petersburg paradox, binomial and normal distributions, Fibonacci numbers, and the traveling salesman problem. By exploring games of chance, this text gives students a greater understanding of probability. It helps them develop the intuition necessary to make better, more informed decisions in strategic situations involving risk. It also prepares them to study the world of statistics.




[PDF] Game Theory Download

Game Theory PDF
Author: Morton D. Davis
Publisher: Courier Corporation
Release Date: 1997-01-01
Size: 23.68 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 252
View: 1139

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Game Theory

Book by Morton D. Davis, Game Theory Books available in PDF, EPUB, Mobi Format. Download Game Theory books, 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.




[PDF] Investitionsrechnung Und Investitionscontrolling Download

Investitionsrechnung und Investitionscontrolling PDF
Author: David Müller
Publisher: Springer-Verlag
Release Date: 2018-11-11
Size: 61.94 MB
Format: PDF, ePub, Docs
Category : Business & Economics
Languages : de
Pages : 695
View: 379

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Investitionsrechnung Und Investitionscontrolling

Book by David Müller, Investitionsrechnung Und Investitionscontrolling Books available in PDF, EPUB, Mobi Format. Download Investitionsrechnung Und Investitionscontrolling books, Investitionen als eine wesentliche Grundlage unternehmerischer Tätigkeit sind durch komplexe Entscheidungsprozesse gekennzeichnet. Zentrale Aufgabe des Investitionscontrollings ist deshalb die Unterstützung der Planung, Realisierung und Umsetzung dieser Entscheidungen. Damit diese Aufgabe bestmöglich erfüllt werden kann, wurde die vorliegende Auflage neu strukturiert. Die Eigenschaften des Investitionsprozesses und des Investitionscontrollings werden in den ersten beiden Kapiteln vorgestellt. Im Anschluss daran werden die Grundlagen der Entscheidungstheorie dargelegt. Diese werden üblicherweise als Einzelentscheidungen betrachtet, jedoch sind Investitionsentscheidungen in den seltensten Fällen Individualentscheidungen. In der Regel sind mehrere Mitarbeiter und Abteilungen in die Entscheidungsprozesse eingebunden. Es liegt nahe, neben den Individualentscheidungen auch kollektive Entscheidungen zu berücksichtigen. Aus diesem Grund werden Theorie und Praxis kollektiver Entscheidungen in einem eigenständigen Kapitel beleuchtet. Neben der Entscheidungstheorie bildet die Investitionstheorie das klassische Fundament zur Unterstützung von Investitionsentscheidungen. Die grundlegenden Verfahren für Situationen unter Sicherheit werden ebenso vorgestellt wie die Verfahren für Entscheidungen unter Unsicherheit. Eine ganze Reihe von Investitionen wird nicht durch einen einzelnen Akteur (z.B. Unternehmen, Kostenstelle, Gemeinde) sondern als Gemeinschaftsinvestitionen durch mehrere Akteure realisiert. Die kooperative Spieltheorie ist in der Lage, für eine gerechte Nutzenaufteilung zu sorgen. Deshalb ist diesem Bereich ein umfangreiches Kapitel mit vielen Anwendungsbeispielen gewidmet.




[PDF] Game Theory And Strategy Download

Game Theory and Strategy PDF
Author: Philip D. Straffin, Jr
Publisher: MAA
Release Date: 1993
Size: 17.13 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 244
View: 1737

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Game Theory And Strategy

Book by Philip D. Straffin, Jr, Game Theory And Strategy Books available in PDF, EPUB, Mobi Format. Download Game Theory And Strategy books, This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.




[PDF] An Introduction To Game Theoretic Modelling Third Edition Download

An Introduction to Game Theoretic Modelling  Third Edition PDF
Author: Mike Mesterton-Gibbons
Publisher: American Mathematical Soc.
Release Date: 2019-07-05
Size: 49.78 MB
Format: PDF, Docs
Category : Game theory
Languages : en
Pages : 395
View: 5522

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An Introduction To Game Theoretic Modelling Third Edition

Book by Mike Mesterton-Gibbons, An Introduction To Game Theoretic Modelling Third Edition Books available in PDF, EPUB, Mobi Format. Download An Introduction To Game Theoretic Modelling Third Edition books, This book introduces game theory and its applications from an applied mathematician's perspective, systematically developing tools and concepts for game-theoretic modelling in the life and social sciences. Filled with down-to-earth examples of strategic behavior in humans and other animals, the book presents a unified account of the central ideas of both classical and evolutionary game theory. Unlike many books on game theory, which focus on mathematical and recreational aspects of the subject, this book emphasizes using games to answer questions of current scientific interest. In the present third edition, the author has added substantial new material on evolutionarily stable strategies and their use in behavioral ecology. The only prerequisites are calculus and some exposure to matrix algebra, probability, and differential equations.




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