Kategoria BISAC: Mathematics >> Game Theory

A path player game is a new innovative type of game which considers network flow problems from the viewpoint of network owners. This strategy enables modeling real-world problems and has many practical applications.

Key features:

* Presents a rigorous exposition of the theoretical foundations of the concept of a path player game;

* Suggests 18 practical open problems for future research in such areas as traffic planning, computation of equilibria, and optimization;

* Examines potentials for games on polyhedra as well as integer versions of generalized Nash...

The theory of linear models and regression analysis plays an essential role in the development of methods for the statistical modelling of data.

The book presents the most recent developments in the theory and applications of linear models and related areas of active research. The contributions include topics such as boosting, Cox regression models, cluster analysis, design of experiments, feasible generalized least squares, information theory, matrix theory, measurement error models, missing data models, mixture models, panel data models, penalized least squares, prediction, regression...

This text provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations and martingale duality methods.

Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of...

Power, Freedom, and Voting is an interdisciplinary book that presents a comprehensive insight into current research by economists, mathematicians, philosophers and political scientists on three intimately related concepts that are at the heart of theories of democracy and social welfare. The editors have brought together some of the leading scholars in the different fields to create a distinctive volume. Chapters include contributions on foundational and methodological issues in the definition and measurement of power and freedom and empirical studies of power and coalition formation in...

Game Theoretic Risk Analysis of Security Threats introduces reliability and risk analysis in the face of threats by intelligent agents. More specifically, game-theoretic models are developed for identifying optimal and/or equilibrium defense and attack strategies in systems of varying degrees of complexity. The book covers applications to networks, including problems in both telecommunications and transportation. However, the book's primary focus is to integrate game theory and reliability methodologies into a set of techniques to predict, detect, diminish, and stop intentional...

Linear programming attracted the interest of mathematicians during and after World War II when the first computers were constructed and methods for solving large linear programming problems were sought in connection with specific practical problems for example, providing logistical support for the U.S. Armed Forces or modeling national economies. Early attempts to apply linear programming methods to solve practical problems failed to satisfy expectations. There were various reasons for the failure. One of them, which is the central topic of this book, was the inexactness of the data used...

This brief introduces overlapping coalition formation games (OCF games), a novel mathematical framework from cooperative game theory that can be used to model, design and analyze cooperative scenarios in future wireless communication networks.

The concepts of OCF games are explained, and several algorithmic aspects are studied. In addition, several major application scenarios are discussed. These applications are drawn from a variety of fields that include radio resource allocation in dense wireless networks, cooperative spectrum sensing for cognitive radio networks, and resource...