IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01064879.html
   My bibliography  Save this paper

Aggregation of Coarse Preferences

Author

Listed:
  • Hervé Crès

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

We consider weak preference orderings over a set An of n alternatives. An individual preference is of refinement ≤ n if it first partitions An into subsets of 'tied' alternatives, and then ranks these subsets within a linear ordering. When

Suggested Citation

  • Hervé Crès, 2000. "Aggregation of Coarse Preferences," Working Papers hal-01064879, HAL.
    • Handle: RePEc:hal:wpaper:hal-01064879
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-01064879
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-01064879/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Adrian Van Deemen, 1999. "The probability of the paradox of voting for weak preference orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 171-182.
    2. Kramer, Gerald H, 1973. "On a Class of Equilibrium Conditions for Majority Rule," Econometrica, Econometric Society, vol. 41(2), pages 285-297, March.
    3. HervÊ CrÉs & Yves Balasko, 1998. "Condorcet cycles in bipartite populations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 313-334.
    4. Fabrice Valognes & William V. Gehrlein, 2001. "Condorcet efficiency: A preference for indifference," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 193-205.
    5. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    6. 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.
    7. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    8. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    9. Tovey, Craig A., 1997. "Probabilities of Preferences and Cycles with Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 271-279, August.
    10. DeMeyer, Frank & Plott, Charles R, 1970. "The Probability of a Cyclical Majority," Econometrica, Econometric Society, vol. 38(2), pages 345-354, March.
    11. Jones, Bradford & Radcliff, Benjamin & Taber, Charles & Timpone, Richard, 1995. "Condorcet Winners and the Paradox of Voting: Probability Calculations for Weak Preference Orders," American Political Science Review, Cambridge University Press, vol. 89(1), pages 137-144, March.
    12. Lepelley, Dominique & Martin, Mathieu, 2001. "Condorcet's paradox for weak preference orderings," European Journal of Political Economy, Elsevier, vol. 17(1), pages 163-177, March.
    13. Kelly, Jerry S, 1974. "Voting Anomalies, the Number of Voters, and the Number of Alternatives," Econometrica, Econometric Society, vol. 42(2), pages 239-251, March.
    14. Gehrlein, William V. & Fishburn, Peter C., 1976. "The probability of the paradox of voting: A computable solution," Journal of Economic Theory, Elsevier, vol. 13(1), pages 14-25, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:spo:wpmain:info:hdl:2441/10286 is not listed on IDEAS
    2. repec:hal:spmain:info:hdl:2441/10286 is not listed on IDEAS
    3. repec:hal:wpspec:info:hdl:2441/10286 is not listed on IDEAS
    4. Hervé Crès, 2000. "Aggregation of Coarse Preferences," SciencePo Working papers Main hal-01064879, HAL.
    5. repec:spo:wpecon:info:hdl:2441/10286 is not listed on IDEAS
    6. Hervé Crès, 2000. "Aggregation of Coarse Preferences," SciencePo Working papers hal-01064879, HAL.
    7. Balasko, Yves & Cres, Herve, 1997. "The Probability of Condorcet Cycles and Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 237-270, August.
    8. Merlin, Vincent & Valognes, Fabrice, 2004. "The impact of indifferent voters on the likelihood of some voting paradoxes," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 343-361, November.
    9. Regenwetter, Michel & Marley, A. A. J. & Grofman, Bernard, 2002. "A general concept of majority rule," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 405-428, July.
    10. Adrian Deemen, 2014. "On the empirical relevance of Condorcet’s paradox," Public Choice, Springer, vol. 158(3), pages 311-330, March.
    11. Peter Kurrild-Klitgaard, 2014. "Empirical social choice: an introduction," Public Choice, Springer, vol. 158(3), pages 297-310, March.
    12. repec:hal:spmain:info:hdl:2441/10273 is not listed on IDEAS
    13. Yves Balasko & Hervé Crès, 1997. "The Probability of Condorcet Cycles and Super-Majority Rules," Post-Print hal-03458336, HAL.
    14. repec:spo:wpmain:info:hdl:2441/10273 is not listed on IDEAS
    15. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    16. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    17. Peter Kurrild-Klitgaard, 2001. "An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate," Public Choice, Springer, vol. 107(1), pages 135-145, April.
    18. Lepelley, Dominique & Martin, Mathieu, 2001. "Condorcet's paradox for weak preference orderings," European Journal of Political Economy, Elsevier, vol. 17(1), pages 163-177, March.
    19. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," Working Papers hal-01064883, HAL.
    20. Mathieu Martin, 2002. "On the emptiness of the stability set of order d," Theory and Decision, Springer, vol. 52(4), pages 313-326, June.
    21. Shmuel Nitzan, 1985. "The vulnerability of point-voting schemes to preference variation and strategic manipulation," Public Choice, Springer, vol. 47(2), pages 349-370, January.
    22. Mostapha Diss & Patrizia Pérez-Asurmendi, 2016. "Probabilities of Consistent Election Outcomes with Majorities Based on Difference in Support," Group Decision and Negotiation, Springer, vol. 25(5), pages 967-994, September.
    23. Jose Apesteguia & Miguel A. Ballester & Rosa Ferrer, 2006. "On the justice of voting systems," Economics Working Papers 987, Department of Economics and Business, Universitat Pompeu Fabra.
    24. Eric Kamwa, 2019. "Condorcet efficiency of the preference approval voting and the probability of selecting the Condorcet loser," Theory and Decision, Springer, vol. 87(3), pages 299-320, October.
    25. Michel Regenwetter & James Adams & Bernard Grofman, 2002. "On the (Sample) Condorcet Efficiency of Majority Rule: An alternative view of majority cycles and social homogeneity," Theory and Decision, Springer, vol. 53(2), pages 153-186, September.
    26. repec:hal:spmain:info:hdl:2441/10284 is not listed on IDEAS
    27. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Working Papers hal-01065004, HAL.

    More about this item

    JEL classification:

    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-01064879. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.