Accessible outcomes versus absorbing outcomes
Abstract(Kóczy and Lauwers, 2004) and (Kóczy and Lauwers, 2007) show that the collection of absorbing outcomes, i.e., the coalition structure core, of a TU game, if non-empty, is a minimal dominant set. The paper complements the result in two respects. First, it is shown that the coalition structure core, if non-empty, can be reached from any outcome via a sequence of successive blocks in quadratic time. Second, we observe that an analogous result holds for accessible outcomes, namely, the collection of accessible outcomes, if non-empty, is a minimal dominant set. Moreover, we give an existence theorem for accessible outcomes, which implies that the minimal dominant set of a cohesive game is exactly the coalition structure core or the collection of accessible outcomes, either of which can be reached from any outcome in linear time.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 62 (2011)
Issue (Month): 1 (July)
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Web page: http://www.elsevier.com/locate/inca/505565
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- Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
- Kóczy, László Á. & Lauwers, Luc, 2004.
"The coalition structure core is accessible,"
Open Access publications from Maastricht University
urn:nbn:nl:ui:27-23359, Maastricht University.
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- Koczy, L & Lauwers, Luc, 2002. "The coalition structure core is accessible," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/121579, Katholieke Universiteit Leuven.
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- Luc Lauwers, 2002. "A Note on Viable Proposals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1369-1371, November.
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- Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, vol. 69(1), pages 194-199, May.
- Péter Szikora, 2013. "Introduction into the literature of cooperative game theory with special emphasis on dynamic games and the core," Proceedings- 11th International Conference on Mangement, Enterprise and Benchmarking (MEB 2013), Óbuda University, Keleti Faculty of Business and Management.
- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2013.
"An optimal bound to access the core in TU-games,"
Games and Economic Behavior,
Elsevier, vol. 80(C), pages 1-9.
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