Game Theory And Partial Differential Equations

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Game Theory And Partial Differential Equations
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Author : Pablo Blanc
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-22
Game Theory And Partial Differential Equations written by Pablo Blanc and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-22 with Mathematics categories.
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.
Game Theory And Partial Differential Equations
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Author : Pablo Blanc
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-22
Game Theory And Partial Differential Equations written by Pablo Blanc and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-22 with Mathematics categories.
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.
Partial Differential Equations In Economics And Finance
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Author : Suren Basov
language : en
Publisher: Nova Publishers
Release Date : 2007
Partial Differential Equations In Economics And Finance written by Suren Basov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business & Economics categories.
This book reviews the basic theory of partial differential equations of the first and second order and discusses their applications in economics and finance. It starts with well-known applications to consumer and producer theory, and to the theory of option pricing and then introduces new applications that emerge from current research (some of which is the author's own) in bounded rationality, game theory, and multi-dimensional screening.
Control Theory For Partial Differential Equations Volume 1 Abstract Parabolic Systems
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Author : Irena Lasiecka
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13
Control Theory For Partial Differential Equations Volume 1 Abstract Parabolic Systems written by Irena Lasiecka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.
Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.
Emerging Applications Of Differential Equations And Game Theory
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Author : Alparslan Gök, S?rma Zeynep
language : en
Publisher: IGI Global
Release Date : 2019-11-22
Emerging Applications Of Differential Equations And Game Theory written by Alparslan Gök, S?rma Zeynep and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-22 with Mathematics categories.
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.
Differential Geometric Methods In The Control Of Partial Differential Equations
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Author : Robert Gulliver
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Differential Geometric Methods In The Control Of Partial Differential Equations written by Robert Gulliver and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume contains selected papers that were presented at the AMS-IMS-SIAM Joint Summer Research Conference on "Differential Geometric Methods in the Control of Partial Differential Equations", which was held at the University of Colorado in Boulder in June 1999. The aim of the conference was to explore the infusion of differential-geometric methods into the analysis of control theory of partial differential equations, particularly in the challenging case of variable coefficients, where the physical characteristics of the medium vary from point to point. While a mutually profitable link has been long established, for at least 30 years, between differential geometry and control of ordinary differential equations, a comparable relationship between differential geometry and control of partial differential equations (PDEs) is a new and promising topic. Very recent research, just prior to the Colorado conference, supported the expectation that differential geometric methods, when brought to bear on classes of PDE modelling and control problems with variable coefficients, will yield significant mathematical advances. The papers included in this volume - written by specialists in PDEs and control of PDEs as well as by geometers - collectively support the claim that the aims of the conference are being fulfilled. In particular, they endorse the belief that both subjects-differential geometry and control of PDEs-have much to gain by closer interaction with one another. Consequently, further research activities in this area are bound to grow.
Partial Differential Equations
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Author : Vladimir A. Tolstykh
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-06-08
Partial Differential Equations written by Vladimir A. Tolstykh and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-08 with Mathematics categories.
This is a clear, rigorous and self-contained introduction to PDEs for a semester-based course on the topic. For the sake of smooth exposition, the book keeps the amount of applications to a minimum, focusing instead on the theoretical essentials and problem solving. The result is an agile compendium of theorems and methods - the ideal companion for any student tackling PDEs for the first time. Vladimir Tolstykh is a professor of mathematics at Istanbul Arel University. He works in group theory and model-theoretic algebra. Dr. Tolstykh received his Ph.D. in Mathematics from the Ural Institute of Mathematics and Mechanics (Ekaterinburg (Russia) in 1992 and his Doctor of Science degree in Mathematics from the Sobolev Institute of Mathematics (Novosibirsk, Russia) in 2007.
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon
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Author : Irena Lasiecka
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13
Control Theory For Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over A Finite Time Horizon written by Irena Lasiecka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.
Originally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.
The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics
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Author : Mindia E. Salukvadze
language : en
Publisher: Springer Nature
Release Date : 2020-02-18
The Berge Equilibrium A Game Theoretic Framework For The Golden Rule Of Ethics written by Mindia E. Salukvadze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-18 with Mathematics categories.
The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium. The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
Library Of Congress Subject Headings
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Author : Library of Congress. Office for Subject Cataloging Policy
language : en
Publisher:
Release Date : 1992
Library Of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Subject headings, Library of Congress categories.