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Game Theory and Partial Differential Equations

2019-07-22 Mathematics
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Release : 2019-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 797/5 ( reviews)

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Book Synopsis Game Theory and Partial Differential Equations by : Pablo Blanc

Download or read book Game Theory and Partial Differential Equations written by Pablo Blanc. This book was released on 2019-07-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Emerging Applications of Differential Equations and Game Theory

2019-11-22 Mathematics
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Release : 2019-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 365/5 ( reviews)

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Book Synopsis Emerging Applications of Differential Equations and Game Theory by : Alparslan Gök, S?rma Zeynep

Download or read book Emerging Applications of Differential Equations and Game Theory written by Alparslan Gök, S?rma Zeynep. This book was released on 2019-11-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Game Theory

2013-04-09 Business & Economics
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Release : 2013-04-09
Genre : Business & Economics
Kind : eBook
Book Rating : 895/5 ( reviews)

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Book Synopsis Game Theory by : E. N. Barron

Download or read book Game Theory written by E. N. Barron. This book was released on 2013-04-09. Available in PDF, EPUB and Kindle. Book excerpt: An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as MapleTM, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.

Differential Games in Economics and Management Science

2000-11-16 Business & Economics
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Release : 2000-11-16
Genre : Business & Economics
Kind : eBook
Book Rating : 329/5 ( reviews)

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Book Synopsis Differential Games in Economics and Management Science by : Engelbert Dockner

Download or read book Differential Games in Economics and Management Science written by Engelbert Dockner. This book was released on 2000-11-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Partial Differential Equations in Economics and Finance

2007 Business & Economics
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Release : 2007
Genre : Business & Economics
Kind : eBook
Book Rating : 067/5 ( reviews)

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Book Synopsis Partial Differential Equations in Economics and Finance by : Suren Basov

Download or read book Partial Differential Equations in Economics and Finance written by Suren Basov. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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