Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/129843
Authors: 
Solymosi, Tamás
Sziklai, Balázs
Year of Publication: 
2015
Series/Report no.: 
IEHAS Discussion Papers MT-DP - 2015/12
Abstract: 
We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and dually saturated coalitions determine both the core and the nucleolus in monotonic games whenever the core is non-empty. We show how these two sets are related with the existing characterization sets. In particular we prove that if the grand coalition is vital then the intersection of essential and dually essential coalitions forms a characterization set itself. We conclude with a sample computation of the nucleolus of bankruptcy games - the shortest of its kind.
Subjects: 
Cooperative game theory
Nucleolus
Characterization sets
JEL: 
C71
ISBN: 
978-615-5447-71-6
Document Type: 
Working Paper

Files in This Item:
File
Size
452.13 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.