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Pre-Kernel As A Tractable Solution for Cooperative Games at Meripustak

Pre-Kernel As A Tractable Solution for Cooperative Games

Books from same Author: Meinhardt

Books from same Publisher: Springer Velage

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    • General Information  
    Author(s)Meinhardt
    PublisherSpringer Velage
    ISBN9783642395482
    Pages275
    BindingHardcover
    LanguageEnglish
    Publish YearNovember 2013

    Description

    Springer Velage Pre-Kernel As A Tractable Solution for Cooperative Games by Meinhardt

    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.