On the number of blocks required to access the coalition structure core
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).
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- Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2010.
"On the number of blocks required to access the core,"
26578, University Library of Munich, Germany.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2011. "On the Number of Blocks Required to Access the Core," Post-Print halshs-00674426, HAL.
- Sylvain Béal & Éric Rémila & Philippe Solal, 2012. "On the number of blocks required to access the core," Post-Print halshs-00662489, HAL.
- Koczy, Laszlo A. & Lauwers, Luc, 2004. "The coalition structure core is accessible," Games and Economic Behavior, Elsevier, vol. 48(1), pages 86-93, July.
- László Á. Kóczy & Luc Lauwers, 2001. "The Coalition Structure Core is Accessible," Game Theory and Information 0110001, EconWPA, revised 26 Jun 2002.
- László Á. Kóczy & Luc Lauwers, 2002. "The Coalition Structure Core is Accessible," Working Papers Department of Economics ces0219, KU Leuven, Faculty of Economics and Business, Department of Economics.
- Koczy, Laszlo A., 2006. "The core can be accessed with a bounded number of blocks," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 56-64, December.
- Laszlo.A.Koczy, 2005. "The Core Can Be Accessed with a Bounded Number of Blocks," IEHAS Discussion Papers 0512, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
- 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).
- Greenberg, Joseph, 1994. "Coalition structures," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 37, pages 1305-1337 Elsevier.
- Robert Aumann, 2010. "Some non-superadditive games, and their Shapley values, in the Talmud," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 3-10, March.
- Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, vol. 69(1), pages 194-199, May. Full references (including those not matched with items on IDEAS)
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