Pre-Kernel as a Tractable Solution for Cooperative Games

Name: Pre-Kernel as a Tractable Solution for Cooperative Games
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642395482
Price: 50.02 EUR
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An Exercise in Algorithmic Game Theory

Autor: Holger Ingmar Meinhardt

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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This present book provides an alternative approach to study the pre-kernel solution of transferable...

Informácie o knihe

Autor

Holger Ingmar Meinhardt

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2013

Stránok

242

EAN

9783642395482

ISBN

3642395481

Enbook ID

01664040

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

5384

Rozmery

155 x 235 x 21

Kompletný popis

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.§

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Pre-Kernel as a Tractable Solution for Cooperative Games

An Exercise in Algorithmic Game Theory

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