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On Two New Social Choice Correspondences

Author

Listed:
  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

  • van den Brink, J.R.

    (Tilburg University, Center For Economic Research)

  • Levinsky, R.
  • Slikker, M.

    (Tilburg University, Center For Economic Research)

Abstract

Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.
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Suggested Citation

  • Borm, P.E.M. & van den Brink, J.R. & Levinsky, R. & Slikker, M., 2000. "On Two New Social Choice Correspondences," Discussion Paper 2000-125, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:71885704-e24b-43ef-a029-8f33e02033a4
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    References listed on IDEAS

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    1. Gernot Grabher & Walter W. Powell (ed.), 2004. "Networks," Books, Edward Elgar Publishing, volume 0, number 2771.
    2. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    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. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2001. "Measuring the Power of Nodes in Digraphs," Discussion Paper 2001-72, Tilburg University, Center for Economic Research.
    5. Gilbert Laffond & Jean Lainé & Jean-François Laslier, 1996. "Composition-consistent tournament solutions and social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 75-93, January.
    6. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
    7. van den Brink, J.R. & Borm, P.E.M., 2002. "Digraph competitions and cooperative games," Other publications TiSEM 262e8724-0bc0-49da-99c5-f, Tilburg University, School of Economics and Management.
    8. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    9. van den Brink, J.R. & Borm, P.E.M., 1994. "Digraph competitions and cooperative games," Other publications TiSEM 1b98a76d-ab49-4f5c-975c-c, Tilburg University, School of Economics and Management.
    10. René van den Brink & Peter Borm, 2002. "Digraph Competitions and Cooperative Games," Theory and Decision, Springer, vol. 53(4), pages 327-342, December.
    11. Borm, P.E.M. & van den Brink, J.R. & Slikker, M., 2000. "An Iterative Procedure for Evaluating Digraph Competitions," Other publications TiSEM 03637fc0-696b-4b91-b292-d, Tilburg University, School of Economics and Management.
    12. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Measuring the Power of Nodes in Digraphs," Tinbergen Institute Discussion Papers 01-096/1, Tinbergen Institute.
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    Citations

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    Cited by:

    1. Ayllon Aragon, Grisel, 2013. "On Weak Condorcet Winners: Existence and Uniqueness," MPRA Paper 53272, University Library of Munich, Germany.
    2. René van den Brink & Peter Borm, 2002. "Digraph Competitions and Cooperative Games," Theory and Decision, Springer, vol. 53(4), pages 327-342, December.
    3. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2003. "On a Compromise Social Choice Correspondence," Other publications TiSEM 0b699b56-24d5-4a52-995f-3, Tilburg University, School of Economics and Management.
    4. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Other publications TiSEM f8406395-a31f-47b0-ab62-d, Tilburg University, School of Economics and Management.
    5. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2003. "On a compromise social choice correspondence," Other publications TiSEM 07d3e06d-241b-4aa2-b59d-d, Tilburg University, School of Economics and Management.
    6. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
    7. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.
    8. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2003. "On a compromise social choice correspondence," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 311-324, December.
    9. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2006. "A note on theβ-measure for digraph competitions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 167-176, June.

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    More about this item

    Keywords

    preferences; public choice;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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