On the number of blocks required to access the core
For any transferable utility game in coalitional form with nonempty core, we show that that the number of blocks required to switch from an imputation out of the core to an imputation in the core is less than or equal to n(n-1)/2, where n is the cardinality of the player set. This number considerably improves the upper bounds found so far by Koczy (2006) and Yang (2010). Our result relies on an altered version of the procedure proposed by Sengupta and Sengupta (1996). The use of the Davis-Maschler reduced-games is also pointed out.
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- 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.
- 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).
- 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.
- John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
- Béal, Sylvain & Durieu, Jacques & Solal, Philippe, 2007.
"Farsighted coalitional stability in TU-games,"
07-57, Sonderforschungsbreich 504.
- Sylvain Béal & Jacques Durieu & Philippe Solal, 2007. "Farsighted Coalitional Stability in TU-Games," Post-Print ujm-00176491, HAL.
- Sylvain Béal & Jacques Durieu & Philippe Solal, 2008. "Farsighted Coalitional Stability in TU-games," Post-Print hal-00334049, HAL.
- Sylvain Béal & Jacques Durieu & Philippe Solal, 2007. "Farsighted Coalitional Stability in TU-Games," Post-Print ujm-00162456, HAL.
- Béal, Sylvain & Durieu, Jacques & Solal, Philippe, 2007. "Farsighted Coalitional Stability in TU-games," Sonderforschungsbereich 504 Publications 07-57, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Sylvain Béal & Jacques Durieu & Philippe Solal, 2007. "Farsighted Coalitional Stability in TU-Games," Post-Print ujm-00176488, HAL.
- Yang, Yi-You, 2010. "On the accessibility of the core," Games and Economic Behavior, Elsevier, vol. 69(1), pages 194-199, May.
- Maniquet, Francois, 2003.
"A characterization of the Shapley value in queueing problems,"
Journal of Economic Theory,
Elsevier, vol. 109(1), pages 90-103, March.
- Maniquet, F., 2000. "A Characterization of the Shapley Value in Queueing Problems," Papers 222, Notre-Dame de la Paix, Sciences Economiques et Sociales.
- MANIQUET, François, "undated". "A characterization of the Shapley value in queueing problems," CORE Discussion Papers RP 1662, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Manea, Mihai, 2007. "Core tatonnement," Journal of Economic Theory, Elsevier, vol. 133(1), pages 331-349, March.
- Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
- Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
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