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On Societies Choosing Social Outcomes, and their Memberships: Internal Stability and Consistency

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  • Bergantiños, Gustavo
  • Massó, Jordi
  • Neme, Alejandro

Abstract

We consider a society whose members have to choose not only an outcome from a given set of outcomes but also the subset of agents that will remain members of the society. We study the extensions of approval voting, plurality voting, Borda methods and Condorcet winners to our setting from the point of view of their consistency and internal stability properties.

Suggested Citation

  • Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2019. "On Societies Choosing Social Outcomes, and their Memberships: Internal Stability and Consistency," MPRA Paper 91714, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:91714
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    References listed on IDEAS

    as
    1. Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2015. "The division problem under constraints," Games and Economic Behavior, Elsevier, vol. 89(C), pages 56-77.
    2. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
    3. Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October.
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    5. D. Berga & G. Bergantiños & J. Massó & A. Neme, 2006. "On Exiting After Voting," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 33-54, April.
      • Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2003. "On exiting after voting," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 261-288, December.
    6. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 229-247, October.
    7. Barbera, Salvador & Perea, Andres, 2002. "Supporting others and the evolution of influence," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2051-2092, October.
    8. Sasaki, Hiroo & Toda, Manabu, 1992. "Consistency and characterization of the core of two-sided matching problems," Journal of Economic Theory, Elsevier, vol. 56(1), pages 218-227, February.
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    10. Duygu Nizamogullari & İpek Özkal-Sanver, 2015. "Consistent enlargements of the core in roommate problems," Theory and Decision, Springer, vol. 79(2), pages 217-225, September.
    11. Berga, Dolors & Bergantinos, Gustavo & Masso, Jordi & Neme, Alejandro, 2007. "An undominated Nash equilibrium for voting by committees with exit," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 152-175, September.
    12. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2017. "On societies choosing social outcomes, and their memberships: strategy-proofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 857-875, April.
    13. Nizamogullari, Duygu & Özkal-Sanver, İpek, 2014. "Characterization of the core in full domain marriage problems," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 34-42.
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    More about this item

    Keywords

    Internal Stability; Consistency; Efficiency; Anonymity; Neutrality; Participation;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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