Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)
Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition)

Author: Vasily N Kolokoltsov

Publisher: World Scientific

Published: 2020-08-21

Total Pages: 411

ISBN-13: 9811214875

DOWNLOAD EBOOK

Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.

Discrete–Time Stochastic Control and Dynamic Potential Games
Discrete–Time Stochastic Control and Dynamic Potential Games

Author: David González-Sánchez

Publisher: Springer Science & Business Media

Published: 2013-09-20

Total Pages: 81

ISBN-13: 331901059X

DOWNLOAD EBOOK

​There are several techniques to study noncooperative dynamic games, such as dynamic programming and the maximum principle (also called the Lagrange method). It turns out, however, that one way to characterize dynamic potential games requires to analyze inverse optimal control problems, and it is here where the Euler equation approach comes in because it is particularly well–suited to solve inverse problems. Despite the importance of dynamic potential games, there is no systematic study about them. This monograph is the first attempt to provide a systematic, self–contained presentation of stochastic dynamic potential games.

Mean Field Simulation for Monte Carlo Integration
Mean Field Simulation for Monte Carlo Integration

Author: Pierre Del Moral

Publisher: CRC Press

Published: 2013-05-20

Total Pages: 624

ISBN-13: 146650417X

DOWNLOAD EBOOK

This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology.

Evolutionary Games and the Replicator Dynamics
Evolutionary Games and the Replicator Dynamics

Author: Saul Mendoza-Palacios

Publisher: Cambridge University Press

Published: 2024-06-06

Total Pages: 120

ISBN-13: 1009472291

DOWNLOAD EBOOK

This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. Under this hypothesis the replicator dynamics evolves in a Banach space of finite signed measures. The authors provide a general framework to study the stability of the replicator dynamics for evolutionary games in this Banach space. This allows them to establish a relation between Nash equilibria and the stability of the replicator for normal a form games applicable to oligopoly models, theory of international trade, public good models, the tragedy of commons, and War of attrition game among others. They also provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.

Markov Processes, Semigroups, and Generators
Markov Processes, Semigroups, and Generators

Author: Vassili N. Kolokoltsov

Publisher: Walter de Gruyter

Published: 2011

Total Pages: 449

ISBN-13: 3110250101

DOWNLOAD EBOOK

This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for

Nonlinear Markov Processes and Kinetic Equations
Nonlinear Markov Processes and Kinetic Equations

Author: Vassili N. Kolokoltsov

Publisher: Cambridge University Press

Published: 2010-07-15

Total Pages: 394

ISBN-13: 1139489739

DOWNLOAD EBOOK

A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.

Religion and Global Politics
Religion and Global Politics

Author: Olusola Ogunnubi

Publisher: Rowman & Littlefield

Published: 2022-06-21

Total Pages: 317

ISBN-13: 1793645620

DOWNLOAD EBOOK

Religion and Global Politics: Soft Power in Nigeria and Beyond examines the deployment of religious soft power in African states and the potential it has for transforming perceptions of the continent. The contributors refocus the attention on religion away from the ‘misery’ discourse of conflict and violence towards the domain of international relations, diplomacy and foreign policy in Africa. Through this shift, the contributors analyze the ways in which religion has impacted the external relations of African states. Religion and Global Politics introduces the theme of religion to the discourse of African international relations and politics to provide a thorough examination of religion’s influence on politics in the daily lives of African people.

More Precisely: The Math You Need to Do Philosophy - Second Edition
More Precisely: The Math You Need to Do Philosophy - Second Edition

Author: Eric Steinhart

Publisher: Broadview Press

Published: 2017-10-30

Total Pages: 250

ISBN-13: 1770486674

DOWNLOAD EBOOK

More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.

Political Game Theory
Political Game Theory

Author: Nolan McCarty

Publisher: Cambridge University Press

Published: 2014-10-30

Total Pages: 0

ISBN-13: 9781107438637

DOWNLOAD EBOOK

Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.