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On the Non-Emptiness of the Mas-Colell Bargaining Set

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  • Bezalel Peleg

    ()

  • Peter Sudholter

    ()

Abstract

We introduce an extension of the Mas-Colell bargaining set and construct, by an elabo- ration on a voting paradox, a superadditive four-person nontransferable utility game whose extended bargaining set is empty. It is shown that this extension constitutes an upper hemi- continuous correspondence. We conclude that the Mas-Colell bargaining set of a non-levelled superadditive NTU game may be empty.

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Bibliographic Info

Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp360.

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Length: 10 pages
Date of creation: May 2004
Date of revision:
Publication status: Published in Journal of Mathematical Economics, 2005, vol. 41, pp. 1060-1068.
Handle: RePEc:huj:dispap:dp360

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Keywords: NTU games; Mas-Colell bargaining set;

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  1. Vohra, Rajiv, 1991. "An existence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 19-34.
  2. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
  3. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
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Cited by:
  1. Bezalel Peleg & Peter Sudholter, 2004. "Bargaining Sets of Voting Games," Discussion Paper Series dp376, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  2. Ron Holzman & Bezalel Peleg & Peter Sudholter, 2005. "Bargaining Sets of Majority Voting Games," Levine's Bibliography 122247000000000935, UCLA Department of Economics.

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