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

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.

Dynamic Noncooperative Game Theory
Dynamic Noncooperative Game Theory

Author: Tamer Basar

Publisher: SIAM

Published: 1999-01-01

Total Pages: 526

ISBN-13: 089871429X

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An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.

New Mathematical Advances in Economic Dynamics
New Mathematical Advances in Economic Dynamics

Author: David F. Batten

Publisher: Routledge

Published: 2018-02-28

Total Pages: 216

ISBN-13: 1351141074

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Originally published in 1985. Mathematical methods and models to facilitate the understanding of the processes of economic dynamics and prediction were refined considerably over the period before this book was written. The field had grown; and many of the techniques involved became extremely complicated. Areas of particular interest include optimal control, non-linear models, game-theoretic approaches, demand analysis and time-series forecasting. This book presents a critical appraisal of developments and identifies potentially productive new directions for research. It synthesises work from mathematics, statistics and economics and includes a thorough analysis of the relationship between system understanding and predictability.