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Game Theory for Control of Optical Networks: A Comprehensive Guide to Static and Dynamic Game Theory

Henry James

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Published in Game Theory For Control Of Optical Networks (Static Dynamic Game Theory: Foundations Applications)

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Game theory is a branch of mathematics that studies the interactions between decision-makers. It has been used to model a wide variety of problems in economics, biology, computer science, and other fields. In recent years, game theory has also been applied to the control of optical networks.

Game Theory for Control of Optical Networks (Static & Dynamic Game Theory: Foundations & Applications)

5 out of 5

Language	:	English
File size	:	9223 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Word Wise	:	Enabled
Print length	:	275 pages

Optical networks are used to transmit data at high speeds over long distances. They are becoming increasingly important as the demand for bandwidth grows. However, the control of optical networks is a complex problem. There are many different factors that can affect the performance of an optical network, including the traffic load, the network topology, and the routing algorithms.

Game theory can be used to model the interactions between the different decision-makers in an optical network. This can help to identify the best strategies for controlling the network and improving its performance.

Static Game Theory

Static game theory is concerned with games in which the players make their decisions once and for all. The outcome of the game is determined by the strategies of the players.

There are a number of different types of static games. One common type is the zero-sum game. In a zero-sum game, the gains of one player are exactly offset by the losses of the other players. Another common type of static game is the non-zero-sum game. In a non-zero-sum game, the gains of one player do not necessarily offset the losses of the other players.

Static game theory can be used to model a variety of problems in the control of optical networks. For example, it can be used to model the problem of routing traffic in an optical network. The players in this game are the different traffic flows. The strategies of the players are the paths that they take through the network. The outcome of the game is the total delay experienced by the traffic flows.

Dynamic Game Theory

Dynamic game theory is concerned with games in which the players make their decisions over time. The outcome of the game is determined by the sequence of decisions made by the players.

There are a number of different types of dynamic games. One common type is the perfect information game. In a perfect information game, all of the players know the actions of all of the other players at all times. Another common type of dynamic game is the imperfect information game. In an imperfect information game, some of the players do not know the actions of all of the other players at all times.

Dynamic game theory can be used to model a variety of problems in the control of optical networks. For example, it can be used to model the problem of scheduling traffic in an optical network. The players in this game are the different traffic flows. The strategies of the players are the times at which they are scheduled to transmit data. The outcome of the game is the total delay experienced by the traffic flows.

Applications of Game Theory to the Control of Optical Networks

Game theory has been applied to a wide variety of problems in the control of optical networks. Some of the most common applications include:

* Routing traffic * Scheduling traffic * Admission control * Resource allocation * Pricing

Game theory can help to improve the performance of optical networks by providing a framework for understanding the interactions between the different decision-makers in the network. This can help to identify the best strategies for controlling the network and improving its performance.

Game theory is a powerful tool that can be used to model a wide variety of problems in the control of optical networks. It can help to identify the best strategies for controlling the network and improving its performance.

This book provides a comprehensive overview of game theory and its applications to the control of optical networks. It covers both static and dynamic game theory, and includes numerous examples and case studies.

This book is an essential resource for anyone who is interested in using game theory to control optical networks.

Game Theory for Control of Optical Networks (Static & Dynamic Game Theory: Foundations & Applications)

5 out of 5