On the number of blocks required to access the coalition structure core
AbstractThis 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).
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 29755.
Date of creation: 22 Mar 2011
Date of revision:
coalition structure core; excess function; payoff configuration; outsider independent domination.;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-16 (All new papers)
- NEP-CDM-2011-04-16 (Collective Decision-Making)
- NEP-GTH-2011-04-16 (Game Theory)
- NEP-NET-2011-04-16 (Network Economics)
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- László Á. Kóczy & Luc Lauwers, 2002.
"The Coalition Structure Core is Accessible,"
Center for Economic Studies - Discussion papers
ces0219, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
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"The core can be accessed with a bounded number of blocks,"
Journal of Mathematical Economics,
Elsevier, vol. 43(1), pages 56-64, December.
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