The Pre-Kernel as a Tractable Solution for Cooperative Games An Exercise in Algorithmic Game Theory /

• Main Author: Meinhardt, Holger Ingmar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization, 45
• Subjects: Computer science > Mathematics.; Game theory.; Economic theory.; Economics.; Game Theory.; Game Theory, Economics, Social and Behav. Sciences.; Economic Theory/Quantitative Economics/Mathematical Methods.; Math Applications in Computer Science.

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...

Table of Contents:

• 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.