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A note on the non-emptiness of the stability set

Author

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  • Mathieu Martin

    () (C.R.E.M.E., UniversitÊ de Caen-MRSH, 14032 Caen cedex, France)

Abstract

Peleg (1978) presents a necessary and sufficient condition for the non-emptiness of the core, by considering quota games. The purpose of this paper is to present a similar result for the non-emptiness of another solution concept introduced by Rubinstein (1980) and called the stability set.

Suggested Citation

  • Mathieu Martin, 2000. "A note on the non-emptiness of the stability set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 559-565.
  • Handle: RePEc:spr:sochwe:v:17:y:2000:i:3:p:559-565
    Note: Received: 25 January 1999/Accepted: 6 July 1999
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    Cited by:

    1. repec:wsi:igtrxx:v:08:y:2006:i:04:n:s0219198906001156 is not listed on IDEAS
    2. Diffo Lambo, Lawrence & Tchantcho, Bertrand & Moulen, Joël, 2009. "A core of voting games with improved foresight," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 214-225, September.
    3. Martin, Mathieu & Merlin, Vincent, 2002. "The stability set as a social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 91-113, September.
    4. Mathieu Martin & Vincent Merlin, 2006. "On The Chacteristic Numbers Of Voting Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 643-654.
    5. Andjiga, Nicolas Gabriel & Moyouwou, Issofa, 2006. "A note on the non-emptiness of the stability set when individual preferences are weak orders," Mathematical Social Sciences, Elsevier, vol. 52(1), pages 67-76, July.
    6. Roland Pongou & Lawrence Diffo Lambo & Bertrand Tchantcho, 2008. "Cooperation, stability and social welfare under majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 555-574, June.

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