IDEAS home Printed from https://ideas.repec.org/p/mse/cesdoc/10058.html
   My bibliography  Save this paper

Aggregation et residuation

Author

Listed:

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 et residuation," Documents de travail du Centre d'Economie de la Sorbonne 10058, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:10058
    as

    Download full text from publisher

    File URL: http://mse.univ-paris1.fr/pub/mse/CES2010/10058.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401, January.
    2. Monjardet, B., 1990. "Arrowian characterizations of latticial federation consensus functions," Mathematical Social Sciences, Elsevier, vol. 20(1), pages 51-71, 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. Bruno Leclerc & Bernard Monjardet, 2010. "Aggregation and residuation," Post-Print halshs-00504982, HAL.
    2. McMorris, F.R. & Powers, R.C., 2013. "Majority decision on median semilattices," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 48-51.
    3. Olivier Hudry & Bruno Leclerc & Bernard Monjardet & Jean-Pierre Barthélemy, 2004. "Médianes métriques et latticielles," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03322636, HAL.
    4. Bernard Monjardet & Vololonirina Raderanirina, 2004. "Lattices of choice functions and consensus problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(3), pages 349-382, December.
    5. Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: an oriented survey," Post-Print halshs-00504974, HAL.
    6. Dirk Van de gaer & Michel Martinez & Erik Schokkaert, 1998. "Measuring Intergenerational Mobility and Equality of Opportunity," Working Papers of Department of Economics, Leuven ces9810, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    7. Stefan Ambec & Yann Kervinio, 2016. "Cooperative decision-making for the provision of a locally undesirable facility," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 119-155, January.
    8. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    9. Kranich, Laurence, 1997. "Equalizing opportunities through public education when innate abilities are unobservable," UC3M Working papers. Economics 7216, Universidad Carlos III de Madrid. Departamento de Economía.
    10. Effrosyni Diamantoudi, 2003. "Equilibrium binding agreements under diverse behavioral assumptions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 431-446, September.
    11. Boniface Mbih & Issofa Moyouwou & Jérémy Picot, 2008. "Pareto violations of parliamentary voting systems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(2), pages 331-358, February.
    12. Bernard Monjardet & Jean-Pierre Barthélemy & Olivier Hudry & Bruno Leclerc, 2009. "Metric and latticial medians," Post-Print halshs-00408174, HAL.
    13. Dominique Lepelley & Fabrice Valognes, 1999. "On the Kim and Roush Voting Procedure," Group Decision and Negotiation, Springer, vol. 8(2), pages 109-123, March.
    14. James J. Heckman & Apostolos Serletis, "undated". "Introduction to Internally Consistent Modeling, Aggregation, Inference, and Policy," Working Papers 2014-73, Department of Economics, University of Calgary, revised 29 Sep 2014.
    15. Ngo Long & Vincent Martinet, 2018. "Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 35-64, January.
    16. Ehlers, Lars & Klaus, Bettina, 2016. "Object allocation via deferred-acceptance: Strategy-proofness and comparative statics," Games and Economic Behavior, Elsevier, vol. 97(C), pages 128-146.
    17. Schokkaert, Erik & Van de gaer, Dirk & Vandenbroucke, Frank & Luttens, Roland Iwan, 2004. "Responsibility sensitive egalitarianism and optimal linear income taxation," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 151-182, September.
    18. Keith Dowding, 2004. "Social Choice and the Grammar of Rights and Freedoms," Political Studies, Political Studies Association, vol. 52(1), pages 144-161, March.
    19. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    20. William A. Barnett & Yi Liu & Haiyang Xu & Mark Jensen, 1996. "The CAPM Risk Adjustment Needed for Exact Aggregation over Financial Assets," Econometrics 9602003, University Library of Munich, Germany.

    More about this item

    Keywords

    Aggregation theory; dependence relation; meet projection; partition; residual map; simple lattice;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C0 - Mathematical and Quantitative Methods - - 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:mse:cesdoc:10058. 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: Lucie Label (email available below). General contact details of provider: https://edirc.repec.org/data/cenp1fr.html .

    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.