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Volumn 48, Issue 9-10, 2008, Pages 1357-1373

Consistency without neutrality in voting rules: When is a vote an average?

Author keywords

Connected; Consistent; Convex; Decomposition; Generalized scoring rule; Geometry of voting; Hyperplane separation; Mean neat rule; Mean proximity rule; Scoring rule; Ties; Voronoi; Voting system

Indexed keywords

AGGLOMERATION; CHARACTERIZATION; DECISION THEORY; MAGNETIC RESONANCE;

EID: 52949091145     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.05.031     Document Type: Article
Times cited : (26)

References (33)
  • 1
    • 0000366181 scopus 로고
    • Aggregation of preferences with variable electorate
    • Smith J.H. Aggregation of preferences with variable electorate. Econometrica 41 (1973) 1027-1041
    • (1973) Econometrica , vol.41 , pp. 1027-1041
    • Smith, J.H.1
  • 2
    • 33750198151 scopus 로고
    • A note on preference aggregation
    • Young H.P. A note on preference aggregation. Econometrica 42 (1974) 1129-1131
    • (1974) Econometrica , vol.42 , pp. 1129-1131
    • Young, H.P.1
  • 3
    • 0016519314 scopus 로고
    • Social choice scoring functions
    • Young H.P. Social choice scoring functions. SIAM J. Appl. Math. 28 (1975) 824-838
    • (1975) SIAM J. Appl. Math. , vol.28 , pp. 824-838
    • Young, H.P.1
  • 4
    • 52949140189 scopus 로고    scopus 로고
    • A characterization of the rational mean neat voting rules
    • Zwicker W.S. A characterization of the rational mean neat voting rules. Math. Comput. Modelling 48 9-10 (2008) 1374-1384
    • (2008) Math. Comput. Modelling , vol.48 , Issue.9-10 , pp. 1374-1384
    • Zwicker, W.S.1
  • 5
    • 0002050975 scopus 로고
    • Axiomatic derivation of scoring rules without the ordering assumption
    • Myerson R.B. Axiomatic derivation of scoring rules without the ordering assumption. Soc. Choice Welf. 12 (1995) 59-74
    • (1995) Soc. Choice Welf. , vol.12 , pp. 59-74
    • Myerson, R.B.1
  • 6
    • 52949148626 scopus 로고    scopus 로고
    • V. Conitzer, M. Rognlie, Voting rules that score rankings, 2007 (preprint)
    • V. Conitzer, M. Rognlie, Voting rules that score rankings, 2007 (preprint)
  • 7
    • 52949123305 scopus 로고    scopus 로고
    • Distance from consensus: A theme and variations
    • Mathematics and Democracy: Recent Advances in Voting Systems and Collective Choice. Simeone B., and Pukelsheim F. (Eds), Springer Verlag, Berlin, Heidelberg
    • Meskanen T., and Nurmi H. Distance from consensus: A theme and variations. In: Simeone B., and Pukelsheim F. (Eds). Mathematics and Democracy: Recent Advances in Voting Systems and Collective Choice. Studies in Choice and Welfare (2006), Springer Verlag, Berlin, Heidelberg 117-132
    • (2006) Studies in Choice and Welfare , pp. 117-132
    • Meskanen, T.1    Nurmi, H.2
  • 8
    • 52949108026 scopus 로고    scopus 로고
    • D. Cervone, W.S. Zwicker, Convex decompositions, J. Convex Anal. (2008) (in press)
    • D. Cervone, W.S. Zwicker, Convex decompositions, J. Convex Anal. (2008) (in press)
  • 9
    • 0000744738 scopus 로고
    • The median procedure in cluster analysis and social choice theory
    • Barthélemy J.P., and Monjardet B. The median procedure in cluster analysis and social choice theory. Math. Social Sci. 1 (1981) 235-267
    • (1981) Math. Social Sci. , vol.1 , pp. 235-267
    • Barthélemy, J.P.1    Monjardet, B.2
  • 11
    • 0034381424 scopus 로고    scopus 로고
    • A geometric examination of Kemeny's rule
    • Saari D.G., and Merlin V.R. A geometric examination of Kemeny's rule. Soc. Choice Welf. 17 (2000) 403-438
    • (2000) Soc. Choice Welf. , vol.17 , pp. 403-438
    • Saari, D.G.1    Merlin, V.R.2
  • 12
    • 0000381950 scopus 로고
    • A consistent extension of Condorcet's election principle
    • Young H.P., and Levenglick A. A consistent extension of Condorcet's election principle. SIAM J. Appl. Math. 35 (1978) 285-300
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 285-300
    • Young, H.P.1    Levenglick, A.2
  • 14
    • 0001450923 scopus 로고
    • Mathematics without numbers
    • Kemeny J. Mathematics without numbers. Daedalus 88 (1959) 571-591
    • (1959) Daedalus , vol.88 , pp. 571-591
    • Kemeny, J.1
  • 15
    • 52949085867 scopus 로고    scopus 로고
    • M.J.A.N.C. Condorcet (The Marquis de), Essai sur l'Application de l'Analyse à la Probabilité des Décisions Rendues à la Pluralité des Voix, Paris, 1785
    • M.J.A.N.C. Condorcet (The Marquis de), Essai sur l'Application de l'Analyse à la Probabilité des Décisions Rendues à la Pluralité des Voix, Paris, 1785
  • 17
    • 52949111926 scopus 로고    scopus 로고
    • W.S. Zwicker, Note on a result of Saari and Merlin, 2005 (preprint)
    • W.S. Zwicker, Note on a result of Saari and Merlin, 2005 (preprint)
  • 18
    • 0242459053 scopus 로고    scopus 로고
    • Weighted voting, abstention, and multiple levels of approval
    • Freixas J., and Zwicker W.S. Weighted voting, abstention, and multiple levels of approval. Soc. Choice Welf. 21 (2003) 399-431
    • (2003) Soc. Choice Welf. , vol.21 , pp. 399-431
    • Freixas, J.1    Zwicker, W.S.2
  • 19
    • 52949083621 scopus 로고    scopus 로고
    • J. Freixas, W.S. Zwicker, Anonymous voting games with abstention and multiple levels of approval: Classification and counting, Games Econ. Behav. (2008) (in press)
    • J. Freixas, W.S. Zwicker, Anonymous voting games with abstention and multiple levels of approval: Classification and counting, Games Econ. Behav. (2008) (in press)
  • 20
    • 52949146418 scopus 로고    scopus 로고
    • W.S. Zwicker, Anonymous voting rules with abstention: Weighted voting, in: S. J. Brams, W. V. Gehrlein, F.S. Roberts (Eds.), The Mathematics of Preference, Choice, and Order: Essays in Honor of Peter C. Fishburn, Springer, Heidelberg, 2008 (in press)
    • W.S. Zwicker, Anonymous voting rules with abstention: Weighted voting, in: S. J. Brams, W. V. Gehrlein, F.S. Roberts (Eds.), The Mathematics of Preference, Choice, and Order: Essays in Honor of Peter C. Fishburn, Springer, Heidelberg, 2008 (in press)
  • 23
    • 52949120359 scopus 로고    scopus 로고
    • V.R. Merlin, L'agrégation des préférences individuelles: les règles positionnelles itératives et la méthode de Copeland, Ph.D. Diss., U. de Caen, 1996
    • V.R. Merlin, L'agrégation des préférences individuelles: les règles positionnelles itératives et la méthode de Copeland, Ph.D. Diss., U. de Caen, 1996
  • 24
    • 52949084749 scopus 로고    scopus 로고
    • V.R. Merlin, Scoring runoff methods are consistent, unpublished mimeo, 1996
    • V.R. Merlin, Scoring runoff methods are consistent, unpublished mimeo, 1996
  • 25
    • 0000942497 scopus 로고
    • Condorcet social choice functions
    • Fishburn P.C. Condorcet social choice functions. SIAM J. Appl. Math. 33 (1977) 469-489
    • (1977) SIAM J. Appl. Math. , vol.33 , pp. 469-489
    • Fishburn, P.C.1
  • 26
    • 0032389515 scopus 로고    scopus 로고
    • Characterization of scoring methods for preference aggregation
    • Chebotarev P.Y., and Shamis E. Characterization of scoring methods for preference aggregation. Ann. Oper. Res. 80 (1998) 299-332
    • (1998) Ann. Oper. Res. , vol.80 , pp. 299-332
    • Chebotarev, P.Y.1    Shamis, E.2
  • 27
    • 0000661802 scopus 로고
    • A set of independent, necessary and sufficient conditions for simple majority decision
    • May K. A set of independent, necessary and sufficient conditions for simple majority decision. Econometrica 20 (1952) 680-684
    • (1952) Econometrica , vol.20 , pp. 680-684
    • May, K.1
  • 28
    • 1542696879 scopus 로고    scopus 로고
    • Borda rule, Copeland method, and stragic manipulation
    • Favardin P., Lepelley D., and Serais J. Borda rule, Copeland method, and stragic manipulation. Rev. Econ. Des. 7 (2002) 213-228
    • (2002) Rev. Econ. Des. , vol.7 , pp. 213-228
    • Favardin, P.1    Lepelley, D.2    Serais, J.3
  • 29
    • 0013037601 scopus 로고    scopus 로고
    • Degree of manipulability of social choice procedures
    • Alkan, et al. (Ed), Springer
    • Aleskerov F., and Kurbanov E. Degree of manipulability of social choice procedures. In: Alkan, et al. (Ed). Current Trends in Economics (1999), Springer
    • (1999) Current Trends in Economics
    • Aleskerov, F.1    Kurbanov, E.2
  • 30
    • 0033445753 scopus 로고    scopus 로고
    • Manipulability measures of common social choice functions
    • Smith D. Manipulability measures of common social choice functions. Soc. Choice Welf. 16 (1999) 639-661
    • (1999) Soc. Choice Welf. , vol.16 , pp. 639-661
    • Smith, D.1
  • 31
    • 52949098411 scopus 로고    scopus 로고
    • H. Smaoui, W.S. Zwicker, Consistency, connectedness, and a characterization of rational scoring rules, working paper, 2005
    • H. Smaoui, W.S. Zwicker, Consistency, connectedness, and a characterization of rational scoring rules, working paper, 2005
  • 33
    • 0004145937 scopus 로고
    • Oxford U. Press, Oxford, UK
    • Webster R. Convexity (1994), Oxford U. Press, Oxford, UK
    • (1994) Convexity
    • Webster, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.