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Operational research. Game theory --- Game theory --- Théorie des jeux --- Théorie des jeux

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This book provides an integrated treatment of the theory of nonnegative matrices (matrices with only positive numbers or zero as entries) and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimisation and mathematical economics. The wide variety of applications, which include price fixing, scheduling and the fair division problem, have been carefully chosen both for their elegant mathematical content and for their accessibility to students with minimal preparation. Many results in matrix theory are also presented. The treatment is rigorous and almost all results are proved completely. These results and applications will be of great interest to researchers in linear programming, statistics and operations research. The minimal prerequisites also make the book accessible to first-year graduate students.

Non-negative matrices. --- System analysis. --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Nonnegative matrices --- Matrices

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The paradigms of dynamic games play an important role in the development of multi-agent models in engineering, economics, and management science. The applicability of their concepts stems from the ability to encompass situations with uncertainty, incomplete information, fluctuating coalition structure, and coupled constraints imposed on the strategies of all the players. This book—an outgrowth of the 10th International Symposium on Dynamic Games—presents current developments of the theory of dynamic games and its applications to various domains, in particular energy-environment economics and management sciences. The volume uses dynamic game models of various sorts to approach and solve several problems pertaining to pursuit-evasion, marketing, finance, climate and environmental economics, resource exploitation, as well as auditing and tax evasions. In addition, it includes some chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions. The book is thematically organized into six parts: * zero-sum game theory * pursuit-evasion games * games of coalitions * new interpretations of the interdependence between different members of a social group * original applications to energy-environment economics * management science applications This work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and graduate students in applied mathematics, engineering, economics, as well as environmental and management sciences.

Game theory --- Mathematics. --- Computer science --- Finance. --- Engineering economy. --- Distribution (Probability theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Quantitative Finance. --- Engineering Economics, Organization, Logistics, Marketing. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Economy, Engineering --- Engineering economics --- Industrial engineering --- Funding --- Funds --- Economics --- Currency question --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematics --- Game theory. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Economics, Mathematical . --- Engineering economics. --- Probabilities. --- Mathematical economics --- Econometrics --- Engineering --- Engineering analysis --- Mathematical analysis --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Games, Theory of --- Theory of games --- Mathematical models --- Methodology

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Quantitative methods (economics) --- Industrial economics --- Operational research. Game theory --- Mathematics --- Financial analysis --- Computer. Automation --- games --- toegepaste wiskunde --- stochastische analyse --- informatica --- speltheorie --- financiële analyse --- wiskunde --- industriële marketing --- ingenieurswetenschappen --- kansrekening