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Up/Downward Preference Aggregation

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  • ANTONIO QUESADA

Abstract

Two strict preference aggregation mechanisms are suggested. One determines the collective preference from the most preferred to the least preferred alternative using as inputs the individuals' most preferred alternatives once the alternatives already assigned a position in the collective preference have been removed. The other mechanism does the same the other way around, constructing the preference starting from the least preferred alternative and using the least preferred remaining alternatives as inputs. It is shown that if both procedures are assumed to generate the same collective preference then the resulting aggregation rule must be dictatorial or constant. Weaker versions of these procedures also yield a dictatorial aggregation rule when combined with mild versions of unanimity or surjectivity.

Suggested Citation

  • Antonio Quesada, 2009. "Up/Downward Preference Aggregation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(5), pages 857-873, October.
    • Handle: RePEc:bla:jpbect:v:11:y:2009:i:5:p:857-873
    DOI: 10.1111/j.1467-9779.2009.01432.x
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    References listed on IDEAS

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    1. repec:bla:econom:v:38:y:1971:i:152:p:413-20 is not listed on IDEAS
    2. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163, September.
    3. Donald E. Campbell & Jerry S. Kelly, 2005. "Correction to: ‘Information and preference aggregation’," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 395-396, June.
    4. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    5. Quesada, Antonio, 2005. "A positional version of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 1053-1059, December.
    6. Donald G. Saari, 1998. "Connecting and resolving Sen's and Arrow's theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 239-261.
    7. Antonio Quesada, 2007. "1 dictator=2 voters," Public Choice, Springer, vol. 130(3), pages 395-400, March.
    8. Houy Nicolas, 2006. "Positional Independence in Preference Aggregation: A Remark," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 341-345, October.
    9. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046, September.
    10. Antonio Quesada, 2003. "Positional independence in preference aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 363-370, June.
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