Emerging Applications of Differential Equations and Game Theory
Emerging Applications of Differential Equations and Game Theory

Author: Alparslan Gök, S?rma Zeynep

Publisher: IGI Global

Published: 2019-11-22

Total Pages: 284

ISBN-13: 1799801365

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Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.

Engineering Differential Equations
Engineering Differential Equations

Author: Bill Goodwine

Publisher: Springer Science & Business Media

Published: 2010-11-11

Total Pages: 762

ISBN-13: 1441979190

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This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Differential Games
Differential Games

Author: Avner Friedman

Publisher: Courier Corporation

Published: 2013-06-06

Total Pages: 372

ISBN-13: 0486153274

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Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition.

Fixed Point Theory in Ordered Sets and Applications
Fixed Point Theory in Ordered Sets and Applications

Author: Siegfried Carl

Publisher: Springer Science & Business Media

Published: 2010-11-17

Total Pages: 482

ISBN-13: 1441975853

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This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Handbook of Research on Emerging Theories, Models, and Applications of Financial Econometrics
Handbook of Research on Emerging Theories, Models, and Applications of Financial Econometrics

Author: Burcu Adıgüzel Mercangöz

Publisher: Springer Nature

Published: 2021-02-17

Total Pages: 465

ISBN-13: 3030541088

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This handbook presents emerging research exploring the theoretical and practical aspects of econometric techniques for the financial sector and their applications in economics. By doing so, it offers invaluable tools for predicting and weighing the risks of multiple investments by incorporating data analysis. Throughout the book the authors address a broad range of topics such as predictive analysis, monetary policy, economic growth, systemic risk and investment behavior. This book is a must-read for researchers, scholars and practitioners in the field of economics who are interested in a better understanding of current research on the application of econometric methods to financial sector data.

N-Person Game Theory
N-Person Game Theory

Author: Anatol Rapoport

Publisher: Courier Corporation

Published: 2013-06-17

Total Pages: 337

ISBN-13: 0486143678

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DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Differential Games
Differential Games

Author: Rufus Isaacs

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 420

ISBN-13: 0486135985

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Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Game Theory and Partial Differential Equations
Game Theory and Partial Differential Equations

Author: Pablo Blanc

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-07-22

Total Pages: 256

ISBN-13: 3110619326

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Extending the well-known connection between classical linear potential theory and probability theory (through the interplay between harmonic functions and martingales) to the nonlinear case of tug-of-war games and their related partial differential equations, this unique book collects several results in this direction and puts them in an elementary perspective in a lucid and self-contained fashion.

Developing Linear Algebra Codes on Modern Processors: Emerging Research and Opportunities
Developing Linear Algebra Codes on Modern Processors: Emerging Research and Opportunities

Author: Catalán Pallarés, Sandra

Publisher: IGI Global

Published: 2022-10-14

Total Pages: 279

ISBN-13: 1799870847

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Optimized linear algebra (LA) libraries that are able to exploit the underlying hardware are always of interest in the high-performance computing community. The implementation of LA software has evolved along with computer architecture, while the specification remains unaltered almost from the beginning. It is important to differentiate between the specification of LA libraries and their implementation. Because LA libraries pursue high performance, the implementation for a given architecture needs to be optimized for it specifically. However, the type of operations included in the libraries, the input/output parameters, and the data types to be handled are common to all of them. This is why, while the specification remains constant, the implementation evolves with the creation of new architectures. Developing Linear Algebra Codes on Modern Processors: Emerging Research and Opportunities presents the main characteristics of LA libraries, showing the differences between the standards for sparse and dense versions. It further explores relevant linear algebra problems and shows, in a clear and understandable way, how to solve them using different computer architectures. Covering topics such as programming models, batched computing, and distributed memory platforms, this premier reference source is an excellent resource for programmers, computer scientists, engineers, students and faculty of higher education, librarians, researchers, and academicians.

Differential Games in Economics and Management Science
Differential Games in Economics and Management Science

Author: Engelbert Dockner

Publisher: Cambridge University Press

Published: 2000-11-16

Total Pages: 398

ISBN-13: 9780521637329

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A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.