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The stability set as a social choice correspondence

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  • Martin, Mathieu
  • Merlin, Vincent

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  • Martin, Mathieu & Merlin, Vincent, 2002. "The stability set as a social choice correspondence," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 91-113, September.
  • Handle: RePEc:eee:matsoc:v:44:y:2002:i:1:p:91-113
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    1. De Donder, Philippe & Le Breton, Michel & Truchon, Michel, 1998. "Choosing from a Weighted Tournament," Cahiers de recherche 9815, Université Laval - Département d'économique.
    2. Bhattacharya, Anindya, 2002. "Coalitional stability with a credibility constraint," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 27-44, January.
    3. Laffond G. & Laslier, J. F. & Le Breton, M., 1996. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 59-59, February.
    4. Effrosyni Diamantoudi & Licun Xue, 2003. "Farsighted stability in hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, August.
    5. Chakravorti, Bhaskar, 1999. "Far-Sightedness and the Voting Paradox," Journal of Economic Theory, Elsevier, vol. 84(2), pages 216-226, February.
    6. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    7. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
    8. Le Breton, M & Salles, M, 1990. "The Stability Set of Voting Games: Classification and Genericity Results," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 111-127.
    9. De Donder, Philippe & Le Breton, Michel & Truchon, Michel, 2000. "Choosing from a weighted tournament1," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 85-109, July.
    10. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    11. Paul B. Simpson, 1969. "On Defining Areas of Voter Choice: Professor Tullock on Stable Voting," The Quarterly Journal of Economics, Oxford University Press, vol. 83(3), pages 478-490.
    12. Barbera, Salvador & Dutta, Bhaskar, 1982. "Implementability via protective equilibria," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 49-65, June.
    13. Martin, M., 1998. "Quota games and stability set of order d," Economics Letters, Elsevier, vol. 59(2), pages 145-151, May.
    14. Tataru, Maria & Merlin, Vincent, 1997. "On the relationship of the Condorcet winner and positional voting rules," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 81-90, August.
    15. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
    16. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    17. 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.
    18. Li, Shuhe, 1992. "Far-sighted strong equilibrium and oligopoly," Economics Letters, Elsevier, vol. 40(1), pages 39-44, September.
    19. Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
    20. repec:adr:anecst:y:1998:i:51:p:02 is not listed on IDEAS
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    Cited by:

    1. 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.
    2. Hammer, P.L. & Kogan, A. & Lejeune, M.A., 2006. "Modeling country risk ratings using partial orders," European Journal of Operational Research, Elsevier, vol. 175(2), pages 836-859, December.
    3. Barbera, Salvador & Gerber, Anke, 2003. "Corrigendum to "On coalition formation: durable coalition structures": [Mathematical Social Sciences 45 (2003) 185-203]," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 355-356, December.
    4. 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.
    5. 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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