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Opis

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.§

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Optimization

• Pełny tytuł: Pre-Kernel as a Tractable Solution for Cooperative Games
• Podtytuł: An Exercise in Algorithmic Game Theory
• Autor: Holger Ingmar Meinhardt
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 242
• EAN: 9783642395482
• ISBN: 3642395481
• ID: 01664040
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 5384 g
• Wymiary: 235 × 155 × 21 mm
• Data wydania: 24. October 2013

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