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The Pre-Kernel as a Tractable Solution for Cooperative Games

von Holger Ingmar Meinhardt
Softcover - 9783662513149
53,49 €
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Hardcover - 9783642395482
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Weitere Formate

Hardcover - 9783642395482
53,49 €

Beschreibung

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.

An Exercise in Algorithmic Game Theory

An Exercise in Algorithmic Game Theory

Details

Verlag Springer Berlin
Ersterscheinung 27. August 2016
Maße 23.5 cm x 15.5 cm
Gewicht 423 Gramm
Format Softcover
ISBN-13 9783662513149
Auflage Softcover reprint of the original 1st ed. 2014
Seiten 242

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