Béal, Sylvain and Rémila, Eric and Solal, Philippe (2010): On the number of blocks required to access the core.

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Abstract
For any transferable utility game in coalitional form with 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 less than or equal to n(n1)/2, where n is the cardinality of the player set. This number considerably improves the upper bounds found so far by Koczy (2006) and Yang (2010). Our result relies on an altered version of the procedure proposed by Sengupta and Sengupta (1996). The use of the DavisMaschler reducedgames is also pointed out.
Item Type:  MPRA Paper 

Original Title:  On the number of blocks required to access the core 
Language:  English 
Keywords:  Core; excess function; dominance path; DavisMaschler reducedgame 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games 
Item ID:  26578 
Depositing User:  Sylvain Béal 
Date Deposited:  10. Nov 2010 21:02 
Last Modified:  14. Feb 2013 19:26 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/26578 