What's so special about Euclidean distance? A characterization with applications to mobility and spatial voting

Social Choice and Welfare

Volumn 33, Issue 2, 2009, Pages 211-233

  D'Agostino, Marcello ^a   Dardanoni, Valentino ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650678377     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00355-008-0353-5     Document Type: Article

References (27)

1. Aczel J (1966) Lectures on functional equations and their applications. Academic Press, New York
2. Austen-Smith D, Banks JS (1999) Positive political theory I: collective preference. The University of Michigan Press, Ann Arbor, Canada
3. Atkinson AB (1983) The measurement of economic mobility. In: Atkinson AB (eds) Social justice and public policy. Wheatsheaf Books Ltd., London
4. GW Brier 1950 Verfication of forecasts expressed in terms of probability Monthly Weather Rev 78 1 3
5. F Cowell 1985 Measures of distributional change: an axiomatic approach Rev Econ Stud 52 35 51
6. V Dardanoni 1993 Measuring social mobility J Econ Theory 61 372 94
7. Debreu G (1960) Topological methods in cardinal utility. In: Karlin S, Arrow K, Suppes P (eds) Mathematical methods in the social sciences. Stanford University Press, Stanford, CA, USA
8. JM Enelow NR Mendell S Ramesh 1988 A comparison of two distance metrics through regression diagnostics of a model of relative candidate evaluation J Polit 50 1057 1071
9. LG Epstein SM Tanny 1980 Increasing generalized correlation: a definition and some economic consequences Can J Econ 13 16 34
10. GS Fields E Ok 1996 The meaning and measurement of income mobility J Econ Theory 71 349 77
11. Fields GS, Ok E (1999a) The measurement of income mobility. In: Silber J (eds) Handbook of income inequality measurement. Kluwer Academic Publishers, Dordrecht
12. GS Fields E Ok 1999 Measuring movements of incomes Economica 66 455 71
13. JE Foster AF Shorrocks 1991 Subgroup consistent poverty indices Econometrica 59 687 709
14. Foster JE, Sen A (1997) On economic inequality after a quarter century. In: Sen A (eds) On economic inequality. Clarendon Press, Oxford
15. WM Gorman 1968 The structure of utility functions Rev Econ Stud 35 367 390
16. Hinich MJ, Munger MC (1970) Analytical politics. Cambridge University Press, Cambridge, UK
17. Maasoumi E (1998) On mobility. In: Giles D, Ullah A (eds) The handbook of economic statistics. Marcel Dekker, New York
18. T Mitra E Ok 1998 The measurement of income mobility: a partial ordering approach Econ Theory 12 77 102
19. Shorrocks AF (1988) Aggregation issues in inequality measurement. In: Eichhorn W (eds) Measurement in economics. Springer, New York
20. S Santini R Jain 1999 Similarity measures IEEE Trans Pattern Anal Mach Intell 21 9 871 883 (Pubitemid 30532488)
21. U Segal J Sobel 2002 Min, max, and sum J Econ Theory 25 126 150
22. AHT Tchen 1980 Inequalities for distributions with given marginals Ann Probab 8 814 27
23. A Tverski DH Krantz 1970 The dimensional representation and the metric structure of similarity data J Math Psychol 7 572 596
24. D Van de Gaer E Schokkaert M Martinez 2001 Three meanings of intergenerational mobility Economica 68 519 537 (Pubitemid 33119464)
25. L Wang Y Zhang J Feng 2005 On the euclidean distance of images IEEE Trans Pattern Anal Mach Intell 27 1334 1339 (Pubitemid 41245062)
26. T-J Wu JP Burke DB Davison 1997 A measure of dna sequence dissimilarity based on mahalanobis distance between frequencies of words Biometrics 53 1431 1439 (Pubitemid 28013584)
27. T-J Wu Y-C Hsieh L-A Li 2001 Statistical measures of dna sequence dissimilarity under markov chain models of base composition Biometrics 57 441 448 (Pubitemid 32488601)