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The median procedure in cluster analysis and social choice theory

Citations

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Cited by:

  1. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 581-630, February.
  2. Dewan F. Wahid & Elkafi Hassini, 2022. "A Literature Review on Correlation Clustering: Cross-disciplinary Taxonomy with Bibliometric Analysis," SN Operations Research Forum, Springer, vol. 3(3), pages 1-42, September.
  3. Saul Amorim & Jean-Pierre Barthélemy & Celso Ribeiro, 1992. "Clustering and clique partitioning: Simulated annealing and tabu search approaches," Journal of Classification, Springer;The Classification Society, vol. 9(1), pages 17-41, January.
  4. Amodio, S. & D’Ambrosio, A. & Siciliano, R., 2016. "Accurate algorithms for identifying the median ranking when dealing with weak and partial rankings under the Kemeny axiomatic approach," European Journal of Operational Research, Elsevier, vol. 249(2), pages 667-676.
  5. Irène Charon & Olivier Hudry, 2010. "An updated survey on the linear ordering problem for weighted or unweighted tournaments," Annals of Operations Research, Springer, vol. 175(1), pages 107-158, March.
  6. Nehring, Klaus & Puppe, Clemens, 2019. "Resource allocation by frugal majority rule," Working Paper Series in Economics 131, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
  7. Jean-Pierre Barthélemy, 1988. "Thresholded consensus for n-trees," Journal of Classification, Springer;The Classification Society, vol. 5(2), pages 229-236, September.
  8. Houy, Nicolas & Zwicker, William S., 2014. "The geometry of voting power: Weighted voting and hyper-ellipsoids," Games and Economic Behavior, Elsevier, vol. 84(C), pages 7-16.
  9. Hannu Salonen, 2014. "Aggregating and Updating Information," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 8(2), pages 55-67, October.
  10. Olivier Hudry, 2015. "Complexity results for extensions of median orders to different types of remoteness," Annals of Operations Research, Springer, vol. 225(1), pages 111-123, February.
  11. Balakrishnan, K. & Changat, M. & Mulder, H.M., 2006. "The plurality strategy on graphs," Econometric Institute Research Papers EI 2006-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  12. Kari Chopra & William A. Wallace, 2000. "Modeling Relationships among Multiple Graphical Structures," Computational and Mathematical Organization Theory, Springer, vol. 6(4), pages 361-379, December.
  13. Bernard Monjardet, 2011. "G. Th. Guilbaud et la théorie du choix social," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00613191, HAL.
  14. Pivato, Marcus, 2017. "Epistemic democracy with correlated voters," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 51-69.
  15. Ernesto Savaglio & Stefano Vannucci, 2021. "Strategy-Proof Aggregation Rules in Median Semilattices with Applications to Preference Aggregation," Department of Economics University of Siena 867, Department of Economics, University of Siena.
  16. Bernard Monjardet & Jean-Pierre Barthélemy & Olivier Hudry & Bruno Leclerc, 2009. "Metric and latticial medians," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00408174, HAL.
  17. Balakrishnan, K. & Changat, M. & Mulder, H.M., 2007. "Median computation in graphs using consensus strategies," Econometric Institute Research Papers EI 2007-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  18. Klaus Nehring & Marcus Pivato & Clemens Puppe, 2016. "Unanimity overruled: Majority voting and the burden of history," Journal of Theoretical Politics, , vol. 28(4), pages 552-597, October.
  19. Balakrishnan, K. & Changat, M. & Mulder, H.M. & Subhamathi, A.R., 2011. "Consensus Strategies for Signed Profiles on Graphs," Econometric Institute Research Papers EI2011-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  20. Dean Neumann & Victor Norton, 1986. "On lattice consensus methods," Journal of Classification, Springer;The Classification Society, vol. 3(2), pages 225-255, September.
  21. Klaus Nehring & Marcus Pivato, 2022. "The median rule in judgement aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1051-1100, June.
  22. Hudry, Olivier, 2009. "A survey on the complexity of tournament solutions," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 292-303, May.
  23. B. Monjardet, 1997. "Concordance between two linear orders: The Spearman and Kendall coefficients revisited," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 269-295, September.
  24. 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.
  25. Alain Guénoche, 2011. "Consensus of partitions : a constructive approach," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 5(3), pages 215-229, October.
  26. Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: an oriented survey," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00504974, HAL.
  27. McMorris, F.R. & Mulder, H.M. & Ortega, O., 2010. "Axiomatic Characterization of the Mean Function on Trees," Econometric Institute Research Papers EI 2010-07, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  28. Monjardet, Bernard, 2003. "The presence of lattice theory in discrete problems of mathematical social sciences. Why," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 103-144, October.
  29. 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.
  30. Hudry, Olivier, 2012. "On the computation of median linear orders, of median complete preorders and of median weak orders," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 2-10.
  31. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2014. "The Condorcet set: Majority voting over interconnected propositions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 268-303.
  32. Adolfo R. Escobedo & Romena Yasmin, 2023. "Derivations of large classes of facet defining inequalities of the weak order polytope using ranking structures," Journal of Combinatorial Optimization, Springer, vol. 46(3), pages 1-45, October.
  33. 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.
  34. Nehring, Klaus & Pivato, Marcus, 2019. "Majority rule in the absence of a majority," Journal of Economic Theory, Elsevier, vol. 183(C), pages 213-257.
  35. Bernard Monjardet, 2008. ""Mathématique Sociale" and Mathematics. A case study: Condorcet's effect and medians," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00309825, HAL.
  36. Lederer, Patrick, 2024. "Bivariate scoring rules: Unifying the characterizations of positional scoring rules and Kemeny's rule," Journal of Economic Theory, Elsevier, vol. 218(C).
  37. Charon, Irene & Germa, Anne & Hudry, Olivier, 1996. "Random generation of tournaments and asymmetric graphs with given out-degrees," European Journal of Operational Research, Elsevier, vol. 95(2), pages 411-419, December.
  38. Nehring, Klaus & Puppe, Clemens, 2022. "Condorcet solutions in frugal models of budget allocation," Working Paper Series in Economics 156, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
  39. Ernesto Savaglio & Stefano Vannucci, 2022. "Strategy-proof aggregation rules in median semilattices with applications to preference aggregation," Papers 2208.12732, arXiv.org.
  40. Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2011. "Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions," MPRA Paper 32434, University Library of Munich, Germany.
  41. Olivier Hudry, 2008. "NP-hardness results for the aggregation of linear orders into median orders," Annals of Operations Research, Springer, vol. 163(1), pages 63-88, October.
  42. Vichi, Maurizio, 1998. "Principal classifications analysis: a method for generating consensus dendrograms and its application to three-way data," Computational Statistics & Data Analysis, Elsevier, vol. 27(3), pages 311-331, May.
  43. Bernard Monjardet, 2006. "Condorcet domains and distributive lattices," Cahiers de la Maison des Sciences Economiques b06072, Université Panthéon-Sorbonne (Paris 1).
  44. David Banks & Kathleen Carley, 1994. "Metric inference for social networks," Journal of Classification, Springer;The Classification Society, vol. 11(1), pages 121-149, March.
  45. McMorris, F.R. & Novick, B. & Mulder, H.M. & Powers, R.C., 2015. "An ABC-Problem for Location and Consensus Functions on Graphs," Econometric Institute Research Papers EI 2015-16, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  46. Hudry, Olivier, 2010. "On the complexity of Slater's problems," European Journal of Operational Research, Elsevier, vol. 203(1), pages 216-221, May.
  47. McMorris, F.R. & Mulder, H.M. & Novick, B. & Powers, R.C., 2014. "Five axioms for location functions on median graphs," Econometric Institute Research Papers EI 2014-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  48. Cervone, Davide P. & Dai, Ronghua & Gnoutcheff, Daniel & Lanterman, Grant & Mackenzie, Andrew & Morse, Ari & Srivastava, Nikhil & Zwicker, William S., 2012. "Voting with rubber bands, weights, and strings," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 11-27.
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