Understanding Game Theory Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation
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| Author | : Vasily N Kolokoltsov |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 301 |
| Release | : 2010-01-20 |
| Genre | : Mathematics |
| ISBN | : 981310774X |
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. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.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.
| Author | : Vasilij Nikitič Kolokol'cov |
| Publisher | : World Scientific Publishing Company Incorporated |
| Total Pages | : 286 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 9789814291712 |
This work offers 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.
| Author | : Vasily N Kolokoltsov |
| Publisher | : World Scientific |
| Total Pages | : 411 |
| Release | : 2020-08-21 |
| Genre | : Mathematics |
| ISBN | : 9811214875 |
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.
| Author | : David González-Sánchez |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 81 |
| Release | : 2013-09-20 |
| Genre | : Science |
| ISBN | : 331901059X |
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.
| Author | : Pierre Del Moral |
| Publisher | : CRC Press |
| Total Pages | : 624 |
| Release | : 2013-05-20 |
| Genre | : Mathematics |
| ISBN | : 146650417X |
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.
| Author | : Saul Mendoza-Palacios |
| Publisher | : Cambridge University Press |
| Total Pages | : 120 |
| Release | : 2024-06-06 |
| Genre | : Business & Economics |
| ISBN | : 1009472291 |
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.
| Author | : Vassili N. Kolokoltsov |
| Publisher | : Walter de Gruyter |
| Total Pages | : 449 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 3110250101 |
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
| Author | : Diego Torricelli |
| Publisher | : Frontiers Media SA |
| Total Pages | : 217 |
| Release | : 2019-12-24 |
| Genre | : |
| ISBN | : 2889632709 |
| Author | : Vassili N. Kolokoltsov |
| Publisher | : Cambridge University Press |
| Total Pages | : 394 |
| Release | : 2010-07-15 |
| Genre | : Mathematics |
| ISBN | : 1139489739 |
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.
| Author | : Olusola Ogunnubi |
| Publisher | : Rowman & Littlefield |
| Total Pages | : 317 |
| Release | : 2022-06-21 |
| Genre | : Political Science |
| ISBN | : 1793645620 |
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.
