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.
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- Koczy, Laszlo A., 2006.
"The core can be accessed with a bounded number of blocks,"
Journal of Mathematical Economics,
Elsevier, vol. 43(1), pages 56-64, December.
- Kóczy László Á., 2005. "The Core Can Be Accessed with a Bounded Number of Blocks," Research Memorandum 042, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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