The Pre-Kernel as a Tractable Solution for Cooperative Games An Exercise in Algorithmic Game Theory
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...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2014, 2014
|
| Edition: | 1st ed. 2014 |
| Series: | Theory and Decision Library C, Game Theory, Social Choice, Decision Theory, and Optimization
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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