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International Summer School on Aggregation Operators

AGOP 2019: New Trends in Aggregation Theory pp 339–346Cite as

Condorcet Winners on Bounded and Distributive Lattices

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 981))

Abstract

Aggregating preferences for finding a consensus between several agents is an important topic in social choice theory. We obtain several axiomatic characterizations of some significant subclasses of voting rules defined on bounded and distributive lattices.

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References

  1. Barberá, S., Sonnenschein, H., Zhou, L.: Voting by committees. Econometrica 59, 595–609 (1991)

    Article  MathSciNet  Google Scholar 

  2. Buechel, B.: Condorcet winners on median spaces. Soc. Choice Welf. 42, 735–750 (2014)

    Article  MathSciNet  Google Scholar 

  3. Cardin, M.: Benchmarking over Distributive Lattices. Communications in Computer and Information Science, vol. 610, pp. 117–125. Springer (2016)

    Google Scholar 

  4. Cardin, M.: Aggregation over property-based preference domains. In: Torra, V., Mesiar, R., Baets, B. (eds.) Aggregation Functions in Theory and in Practice, AGOP 2017. Advances in Intelligent Systems and Computing, vol. 581, pp. 400–407. Springer (2018)

    Google Scholar 

  5. Cardin, M.: Sugeno integral on property-based preference domains. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds.) Advances in Fuzzy Logic and Technology 2017, EUSFLAT 2017. Advances in Intelligent Systems and Computing, vol. 641, pp. 400–407 (2017)

    Google Scholar 

  6. Gordon, S.: Unanimity in attribute-based preference domains. Soc. Choice Welf. 44, 13–29 (2015)

    Article  MathSciNet  Google Scholar 

  7. Leclerc, B., Monjardet, B.: Aggregation and Residuation. Order 30, 261–268 (2013)

    Article  MathSciNet  Google Scholar 

  8. Monjardet, B.: Arrowian characterization of latticial federation consensus functions. Math. Soc. Sci. 20, 51–71 (1990)

    Article  MathSciNet  Google Scholar 

  9. Morandi, P.: Dualities in Lattice Theory, Mathematical Notes. http://sierra.nmsu.edu/morandi/

  10. Nehring, K., Puppe, C.: The structure of strategy-proof social choice - part I: general characterization and possibility results on median spaces. J. Econ. Theory 135(1), 269–305 (2007)

    Article  MathSciNet  Google Scholar 

  11. Nehring, K., Puppe, C.: Abstract Arrowian aggregation. J. Econ. Theory 145, 467–494 (2010)

    Article  MathSciNet  Google Scholar 

  12. Savaglio, E., Vannucci, S.: Strategy-proofness and single peakedness in bounded distributive lattices. Soc. Choice Welf. 52(2), 295–327 (2019)

    Article  MathSciNet  Google Scholar 

  13. van de Vel, M.L.J.: Theory of Convex Structures. North-Holland Mathematical Library, vol. 50. Elsevier, Amsterdam (1993)

    Google Scholar 

  14. Vannucci, S.: Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules. Math. Soc. Sci. 84, 50–67 (2016)

    Article  MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Economics, Ca’ Foscari University of Venice, Sestiere Cannaregio 873, Venezia, Italy

    Marta Cardin

Authors
  1. Marta Cardin
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Correspondence to Marta Cardin .

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Editors and Affiliations

  1. Faculty of Science, Palacký University, Olomouc, Czech Republic

    Radomír Halaš

  2. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Marek Gagolewski

  3. Slovak University of Technology, Bratislava, Slovakia

    Radko Mesiar

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Cardin, M. (2019). Condorcet Winners on Bounded and Distributive Lattices. In: Halaš, R., Gagolewski, M., Mesiar, R. (eds) New Trends in Aggregation Theory. AGOP 2019. Advances in Intelligent Systems and Computing, vol 981. Springer, Cham. https://doi.org/10.1007/978-3-030-19494-9_31

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