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On the accessibility of the core

  • Yang, Yi-You

We define a new notion of dominance, sequential z-dominance, and show that for any TU game with a nonempty core, every process of successive blocks must terminate in the core if the notion of sequential z-dominance is employed. Moreover, this result leads to an upper bound for the number of blocks needed to reach the core, which is lower than the one given in Kóczy (2006).

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File URL: http://www.sciencedirect.com/science/article/B6WFW-4YCG03Y-1/2/5b8bc2db463d5b947957a33180313693
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 69 (2010)
Issue (Month): 1 (May)
Pages: 194-199

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Handle: RePEc:eee:gamebe:v:69:y:2010:i:1:p:194-199
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. László Á. Kóczy & Luc Lauwers, 2002. "The Minimal Dominant Set is a Non-Empty Core-Extension," Center for Economic Studies - Discussion papers ces0220, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  2. 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.
  3. 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).
  4. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
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