Béal, Sylvain and Rémila, Eric and Solal, Philippe (2011): On the number of blocks required to access the coalition structure core.
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This article shows that, for any transferable utility game in coalitional form with nonempty coalition structure core, the number of steps required to switch from a payoff configuration out of the coalition structure core to a payoff configuration in the coalition structure core is less than or equal to (n*n+4n)/4, where n is the cardinality of the player set. This number considerably improves the upper bound found so far by Koczy and Lauwers (2004).
|Item Type:||MPRA Paper|
|Original Title:||On the number of blocks required to access the coalition structure core|
|Keywords:||coalition structure core; excess function; payoff configuration; outsider independent domination.|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games|
|Depositing User:||Sylvain Béal|
|Date Deposited:||04. Apr 2011 20:50|
|Last Modified:||31. Dec 2015 11:37|
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