Cooperative Game Theory and Applications: Cooperative Games Arising from Combinatorial Optimization Problems / Edition 1

by Imma Curiel

Overview

In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes.
In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied.
For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.

Product Details

ISBN-13:	9780792344766
Publisher:	Springer US
Publication date:	03/31/1997
Series:	Theory and Decision Library C , #16
Edition description:	1997
Pages:	194
Product dimensions:	6.14(w) x 9.21(h) x 0.02(d)

Table of Contents

1 Cooperative Games and Solution Concepts.- 2 Linear Programming Games.- 3 Assignment Games and Permutation Games.- 4 Sequencing Games and Generalizations.- 5 Travelling Salesman Games and Routing Games.- 6 Minimum Cost Spanning Tree Games.- 7 Location Games.- References.

Editorial Reviews

‘It is a high-quality book, thoughtfully and carefully written - a clear asset to Kluwer's ‘Game Theory, Mathematical Programming, and Operations Research' series.'
SIAM Review, 41:2

From the Publisher

Describes applications of cooperative game theory that arise from combinatorial optimization problems, useful in mathematical modeling of real-world situations in which there is more than one decision- maker. Contains chapters on cooperative games and solution concepts, linear programming games, assignment and permutation games, sequencing and generalizations, traveling salesman games, minimum cost spanning tree games, and location games. Although the choice of topics is application driven, theoretical questions are also discussed. Annotation c. by Book News, Inc., Portland, Or.

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