Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/168018
Authors: 
Wolff, Reiner
Year of Publication: 
2017
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 8 [Year:] 2017 [Issue:] 1 [Pages:] 1-12
Abstract: 
We study the class of directed simple games, assuming that only integer solutions are admitted; i.e., the players share a resource that comes in discrete units. We show that the integer nucleolus-if nonempty-of such a game is composed of the images of a particular payoff vector under all symmetries of the game. This payoff vector belongs to the set of integer imputations that weakly preserve the desirability relation between the players. We propose an algorithm for finding the integer nucleolus of any directed simple game with a nonempty integer imputation set. The algorithm supports the parallel execution of multiple threads in a computer application. We also consider the integer prenucleolus and the class of directed generalized simple games.
Subjects: 
integer nucleolus
integer prenucleolus
desirability relation
simple games
JEL: 
C63
C71
D72
Persistent Identifier of the first edition: 
Creative Commons License: 
http://creativecommons.org/licenses/by/4.0/
Document Type: 
Article
Appears in Collections:

Files in This Item:
File
Size
345.89 kB





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