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Do we agree? Measuring the cohesiveness of preferences

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  • Jorge Alcalde-Unzu
  • Marc Vorsatz

Abstract

In this paper, we suggest new ways of how to measure the similarity of preferences in a group of individuals. For simplicity, we refer to this as the cohesiveness (of preferences). We propose axioms a cohesiveness measure should satisfy and show that these properties fully characterize a family of measures. According to it, the similarities between each pair of objects in a preference profile -calculated as the proportion margin by which one objects wins against the other in a pairwise comparison- are aggregated by a weighted mean. The weight of each pair of objects depends on their importance at the social level

Suggested Citation

  • Jorge Alcalde-Unzu & Marc Vorsatz, 2010. "Do we agree? Measuring the cohesiveness of preferences," Working Papers 2010-23, FEDEA.
  • Handle: RePEc:fda:fdaddt:2010-23
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    References listed on IDEAS

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    1. Can, Burak, 2014. "Weighted distances between preferences," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 109-115.
    2. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
    3. Moulin, Herve & Sprumont, Yves, 2006. "Responsibility and cross-subsidization in cost sharing," Games and Economic Behavior, Elsevier, vol. 55(1), pages 152-188, April.
    4. Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
    5. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    6. Katherine Baldiga & Jerry Green, 2013. "Assent-maximizing social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 439-460, February.
    7. Alcantud, José Carlos R. & de Andres Calle, Rocio & Cascon, José Manuel, 2012. "Approval consensus measures," MPRA Paper 39610, University Library of Munich, Germany.
    8. Chambers, Christopher P. & Hayashi, Takashi, 2012. "Choice and individual welfare," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1818-1849.
    9. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    10. Jorge Alcalde-Unzu & Marc Vorsatz, 2013. "Measuring the cohesiveness of preferences: an axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 965-988, October.
    11. Christian Klamler, 2008. "A distance measure for choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 419-425, April.
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    Cited by:

    1. José Carlos R., Alcantud & Rocío, de Andrés & José Manuel, Cascón, 2011. "Measurement of consensus with a reference," MPRA Paper 32155, University Library of Munich, Germany.
    2. Alexander Karpov, 2017. "Preference Diversity Orderings," Group Decision and Negotiation, Springer, vol. 26(4), pages 753-774, July.

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