An optimal bound to access the core in TU-games

For any transferable utility game in coalitional form with a nonempty core, we show that that the number of blocks required to switch from an imputation out of the core to an imputation in the core is at most n-1, where n is the number of players. This bound exploits the geometry of the core and is optimal. It considerably improves the upper bounds found so far by Koczy (2006), Yang (2010, 2011) and a previous result by ourselves (2012) in which the bound was n(n-1)/2.

MoreLess

Year of publication:	2012-05-23
Authors:	Béal, Sylvain ; Rémila, Eric ; Solal, Philippe

More details

Type of publication:	Book / Working Paper
Language:	English
Notes:	Béal, Sylvain and Rémila, Eric and Solal, Philippe (2012): An optimal bound to access the core in TU-games.
Classification:	C71 - Cooperative Games
Source:	BASE

Persistent link: https://www.econbiz.de/10015232174