Optimization

Game theory is a branch of modern applied mathematics that aims to analyse various problems of conflict between parties that have opposed similar or simply different interests.

The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory.

This book uses a small volume to present the most basic results for deterministic two-person differential games.

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph.

With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed.

This monograph deals with the controlled/non-controlled nonlinear systems of differential equations.

This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way.

This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years.

Discrete event systems (DES) have become pervasive in our daily lives.

In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations.

This research monograph offers a general theory which encompasses almost all known general theories in such a way that many practical applications can be obtained.

Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods.

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest.

Game theory is a branch of modern applied mathematics that aims to analyze various problems of conflict between parties that have opposed, similar or simply different interests.

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems.

The book gives a novel treatment of recent advances on constrained control problems with emphasis on the controllability, reachability of dynamical discrete-time systems.

This monograph deals with theoretical fundamentals and numerical methods of optimizing nondetermined models of systems.

Dr Alan J Hoffman is a pioneer in linear programming, combinatorial optimization, and the study of graph spectra.

Combinatorial and global optimization problems appear in a wide range of applications in operations research, engineering, biological science, and computer science.

This book attempts to couple control engineering with modern developments in science, through the concept of entropy.

This book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems.

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments.

Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences.

This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics.

This is a book for those who want to understand the main ideas in the theory of optimal problems.

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities.

We have witnessed in recent years a revival of Conjectural Variations in Game Theory.

The theory of adaptive control is concerned with construction of strategies so that the controlled system behaves in a desirable way, without assuming the complete knowledge of the system.

Self-contained and unified in presentation, this invaluable book provides a broad introduction to the fascinating subject of many-body collective systems with adapting and evolving agents.

In 1984, Robert Axelrod published a book, relating the story of two competitions which he ran, where invited academics entered strategies for the Iterated Prisoners' Dilemma.

Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics.

Computational optimization methods have matured over the last few years due to extensive research by applied mathematicians and engineers.

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods.

Xunjing Li (1935-2003) was a pioneer in control theory in China.

This important book reviews applications of optimization and optimal control theory to modern problems in physics, nano-science and finance.

The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.

This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory.

This book brings together the joint work of Drew Fudenberg and David Levine (through 2008) on the closely connected topics of repeated games and reputation effects, along with related papers on more general issues in game theory and dynamic games.

This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods.

This book provides readers with a comprehensive survey of models of dynamic games in economics, including an extensive coverage of numerous fields of applications.

This book primarily focuses on the domain conditions under which a number of important classes of binary social decision rules give rise to rational social preferences.

New Trends in Control Theory is a graduate-level monographic textbook.

This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition.

The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users.

The book aims at describing the recent developments in the existence and stability of Nash equilibrium.

This volume collects almost two decades of joint work of Sergiu Hart and Andreu Mas-Colell on game dynamics and equilibria.

The need of optimal partition arises from many real-world problems involving the distribution of limited resources to many users.

This book focuses primarily on the nature-inspired approach for designing smart applications.

This book presents the fundamentals of evolutionary game theory and applies them to the analysis of epidemics, which is of paramount importance in the aftermath of the worldwide COVID-19 pandemic.