Kniha Pre-Kernel as a Tractable Solution for Cooperative Games Holger Ingmar Meinhardt

Pre-Kernel as a Tractable Solution for Cooperative Games

An Exercise in Algorithmic Game Theory

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 147
This present book provides an alternative approach to study the pre-kernel solution of transferable...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2013
Stránek
242
EAN
9783642395482
ISBN
3642395481
Enbook ID
01664040
Hmotnost
5384
Rozměry
155 x 235 x 21

Kompletní 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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