Loading, please wait...
:

product description page

Pre-kernel As a Tractable Solution for Cooperative Games : An Exercise in Algorithmic Game Theory

Pre-kernel As a Tractable Solution for Cooperative Games : An Exercise in Algorithmic Game Theory - image 1 of 1

About this item

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.

Edition: Reprint
Genre: Mathematics, Business + Money Management
Series Title: Theory and Decision Library C
Format: Paperback
Publisher: Springer Verlag
Author: Holger Ingmar Meinhardt
Language: English
Street Date: September 16, 2016
TCIN: 51717881
UPC: 9783662513149
Item Number (DPCI): 248-33-4916
If the item details above aren’t accurate or complete, we want to know about it. Report incorrect product info.

Guest reviews

Prices, promotions, styles and availability may vary by store & online. See our price match guarantee. See how a store is chosen for you.