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The Core Can Be Accessed with a Bounded Number of Blocks

  • Kóczy László Á.

    (METEOR)

We show the existence of an upper bound for the number of blocks required to get from one imputation to another provided that accessibility holds. The bound depends only on the number of players in the TU game considered. For the class of games with non-empty cores this means that the core can be reached via a bounded sequence of blocks.

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File URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:6d51bbaf-d3e5-4d7c-a104-1aa962ae0ca9/datastreams/ASSET1/content
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Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 042.

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Date of creation: 2005
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Handle: RePEc:unm:umamet:2005042
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  1. Sengupta, Abhijit & Sengupta, Kunal, 1996. "A Property of the Core," Games and Economic Behavior, Elsevier, vol. 12(2), pages 266-273, February.
  2. Dionysius Glycopantis & Allan Muir & Nicholas C. Yannelis, 2003. "On extensive form implementation of contracts in differential information economies," Economic Theory, Springer, vol. 21(2), pages 495-526, 03.
  3. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
  4. Green, Jerry R, 1974. "The Stability of Edgeworth's Recontracting Process," Econometrica, Econometric Society, vol. 42(1), pages 21-34, January.
  5. 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.
  6. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
  7. Sengupta, Abhijit & Sengupta, Kunal, 1994. "Viable Proposals," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 347-59, May.
  8. Allan Muir & Nicholas C. Yannelis & Dionysius Glycopantis, 2001. "An extensive form interpretation of the private core," Economic Theory, Springer, vol. 18(2), pages 293-319.
  9. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
  10. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
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