The Pre-Kernel as a Tractable Solution for Cooperative Games

This book provides an alternative approach to study the pre-kernel solution of transferable utility games based on a generalized conjugation theory from convex analysis.

Characterizes a fair division rule of game theory by convex analysis Proposes tractable formula to solve fair division problems in real life situations Provides algorithms to implement vectorized and parallel computer programs designed to solve fair division problems? Includes supplementary material: sn.pub/extras

Autorentext
Dr. Holger Meinhardt is a Senior Research Affiliate at Karlsruhe Institute of Technology (KIT).

Inhalt
Introduction.- Some Solution Schemes and Game Properties.- The Shapley Value and (Pre-Kernel) as a Fairness Concept.- Fair Division in Cournot Markets.- Some Preliminary Results.- A Pre-Kernel Characterization and Orthogonal Projection.- Characterization of the Pre-Kernel by Solution Sets.- Algorithms for Computing the Pre-Kernel.- An Upper Dimension Bound of the Pre-Kernel.- Concluding Remarks.