Béal, Sylvain and Rémila, Eric and Solal, Philippe (2012): An optimal bound to access the core in TU-games.
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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.
|Item Type:||MPRA Paper|
|Original Title:||An optimal bound to access the core in TU-games|
|Keywords:||Core ; Block ; Weak dominance relation ; Strong dominance relation ; Davis-Maschler reduced games|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games|
|Depositing User:||Sylvain Béal|
|Date Deposited:||23. May 2012 14:06|
|Last Modified:||16. Feb 2013 15:04|
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