Téléchargez le livre : The Pre-Kernel as a Tractable Solution for Cooperative Games

The Pre-Kernel as a Tractable Solution for Cooperative Games

An Exercise in Algorithmic Game Theory de

Éditeur :

Springer


Collection :

Theory and Decision Library C

Paru le : 2013-10-23

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Description

This present book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis. Although the pre-kernel solution possesses an appealing axiomatic foundation that lets one consider this solution concept as a standard of fairness, the pre-kernel and its related solutions are regarded as obscure and too technically complex to be treated as a real alternative to the Shapley value. Comprehensible and efficient computability is widely regarded as a desirable feature to qualify a solution concept apart from its axiomatic foundation as a standard of fairness. We review and then improve an approach to compute the pre-kernel of a cooperative game by the indirect function. The indirect function is known as the Fenchel-Moreau conjugation of the characteristic function. Extending the approach with the indirect function, we are able to characterize the pre-kernel of the grand coalition simply by the solution sets of a family of quadratic objective functions.
Pages
242 pages
Collection
Theory and Decision Library C
Parution
2013-10-23
Marque
Springer
EAN papier
9783642395482
EAN EPUB
9783642395499
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
24
Taille du fichier
4588 Ko
Prix
52,74 €

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