Title
A note on the nucleolus for 2-convex TU games
Abstract
For 2-convex n-person cooperative TU games, the nucleolus is determined as some type of constrained equal award rule. Its proof is based on Maschler, Peleg, and Shapley’s geometrical characterization for the intersection of the prekernel with the core. Pairwise bargaining ranges within the core are required to be in equilibrium. This system of non-linear equations is solved and its unique solution agrees with the nucleolus.
Year
DOI
Venue
2010
10.1007/s00182-009-0216-z
Int. J. Game Theory
Keywords
Field
DocType
cooperative game · 2-convex n-person game · core · nucleolus,nucleolus,linear equations,core
Pairwise comparison,Mathematical economics,Regular polygon,Bondareva–Shapley theorem,Mathematics,Nucleolus
Journal
Volume
Issue
ISSN
39
1
1432-1270
Citations 
PageRank 
References 
3
0.80
2
Authors
2
Name
Order
Citations
PageRank
Theo S. H. Driessen14911.00
Dongshuang Hou2116.27