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.
| Autorius: | Holger Ingmar Meinhardt |
| Serija: | Theory and Decision Library C |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 2013 |
| Knygos puslapių skaičius: | 276 |
| ISBN-10: | 3642395481 |
| ISBN-13: | 9783642395482 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Game theory |
Parašykite atsiliepimą apie „The Pre-Kernel as a Tractable Solution for Cooperative Games: An Exercise in Algorithmic Game Theory“
