The Pre-Kernel as a Tractable Solution for Cooperative Games - An Exercise in Algorithmic Game Theory (Hardcover, 2014 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Theory and Decision Library C, 45
Release date:	November 2013
First published:	2014
Authors:	Holger Ingmar Meinhardt
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Hardcover
Pages:	242
Edition:	2014 ed.
ISBN-13:	978-3-642-39548-2
Categories:	Books > Business & Economics > Economics > Economic theory & philosophy Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Optimization > Game theory Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Promotions
LSN:	3-642-39548-1
Barcode:	9783642395482

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