Advertisement

Condorcet Winners on Bounded and Distributive Lattices

  • Marta CardinEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (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.

Keywords

Lattice Preference Voting rule 

References

  1. 1.
    Barberá, S., Sonnenschein, H., Zhou, L.: Voting by committees. Econometrica 59, 595–609 (1991)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Buechel, B.: Condorcet winners on median spaces. Soc. Choice Welf. 42, 735–750 (2014)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Cardin, M.: Benchmarking over Distributive Lattices. Communications in Computer and Information Science, vol. 610, pp. 117–125. Springer (2016)Google Scholar
  4. 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. 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. 6.
    Gordon, S.: Unanimity in attribute-based preference domains. Soc. Choice Welf. 44, 13–29 (2015)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Leclerc, B., Monjardet, B.: Aggregation and Residuation. Order 30, 261–268 (2013)MathSciNetCrossRefGoogle Scholar
  8. 8.
    Monjardet, B.: Arrowian characterization of latticial federation consensus functions. Math. Soc. Sci. 20, 51–71 (1990)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Morandi, P.: Dualities in Lattice Theory, Mathematical Notes. http://sierra.nmsu.edu/morandi/
  10. 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)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Nehring, K., Puppe, C.: Abstract Arrowian aggregation. J. Econ. Theory 145, 467–494 (2010)MathSciNetCrossRefGoogle Scholar
  12. 12.
    Savaglio, E., Vannucci, S.: Strategy-proofness and single peakedness in bounded distributive lattices. Soc. Choice Welf. 52(2), 295–327 (2019)MathSciNetCrossRefGoogle Scholar
  13. 13.
    van de Vel, M.L.J.: Theory of Convex Structures. North-Holland Mathematical Library, vol. 50. Elsevier, Amsterdam (1993)Google Scholar
  14. 14.
    Vannucci, S.: Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules. Math. Soc. Sci. 84, 50–67 (2016)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of EconomicsCa’ Foscari University of VeniceVeneziaItaly

Personalised recommendations