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Aggregation and residuation

Author

Listed:
  • Bruno Leclerc

    () (CAMS - Centre d'analyse et de mathématique sociale - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Bernard Monjardet

    () (CAMS - Centre d'analyse et de mathématique sociale - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique, CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne)

Abstract

In this paper, we give a characterization of meet-projections in simple atomistic lattices that generalizes results on the aggregation of partitions in cluster analysis.

Suggested Citation

  • Bruno Leclerc & Bernard Monjardet, 2010. "Aggregation and residuation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00504982, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00504982
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00504982
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    References listed on IDEAS

    as
    1. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012. "Separability and aggregation of equivalence relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
    2. Nathalie Caspard & Bruno Leclerc & Bernard Monjardet, 2007. "Ensembles ordonnés finis : concepts, résultats, usages," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197128, HAL.
    3. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 89(3), pages 456-469.
    4. Christopher Chambers & Alan Miller, 2011. "Rules for aggregating information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(1), pages 75-82, January.
    5. Leclerc, B., 1984. "Efficient and binary consensus functions on transitively valued relations," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 45-61, August.
    6. Maurice Salles, 2005. "Social Choice," Post-Print halshs-00337075, HAL.
    7. Monjardet, B., 1990. "Arrowian characterizations of latticial federation consensus functions," Mathematical Social Sciences, Elsevier, vol. 20(1), pages 51-71, August.
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    Cited by:

    1. Chambers, Christopher P. & Miller, Alan D., "undated". "Inefficiency," Working Papers WP2011/14, University of Haifa, Department of Economics, revised 30 Nov 2011.
    2. repec:the:publsh:2506 is not listed on IDEAS
    3. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.

    More about this item

    Keywords

    simple lattice; Aggregation theory; residual map; meet projection; dependence relation; treillis simple; inf-projection; partition; relation de dépendance; application résiduelle; Agrégation;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C0 - Mathematical and Quantitative Methods - - General

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