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Social Choice Problems with Different Scales of Individual Welfares Measurement for Different Subgroups of Individuals

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Book cover Operations Research Proceedings 1995

Part of the book series: Operations Research Proceedings ((ORP,volume 1995))

Summary

Under various conditions concerning the cardinal and comparable nature of individual preferences there exist classes of nondictatorial Arrow-type social choice rules (SCR) (Sen (1970). Roberts (1980a, b). d’Aspremont (1983). Yanovskaya (1988, 1989)). However in all previous studies scales of individual welfares measurement have been assumed to be of the same type for the entire society.

This paper is aimed to characterize Arrow-type SCR when individual preferences in different disjoint subgroups of individuals are measured in different scales. As for the relations between subgroups of individuals we consider both dependent and independent scales for all pairs of individuals from different subgroups. Various combinations of ordinal and interval scales are studied. For the case of independent between subgroups scales it is shown that for every combination of scales there exists a decisive coalition equal to one of the subgroups and the SCR is fully determined in accordance with the scales type proper to this subgroup.

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References

  • Arrow, K.J. (1963), Social Choice and Individual Values, 2nd edition. New Haven: Yale University Press.

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  • d’Aspremont, C. (1983), Axioms for Social Welfare Orderings, CORE Disc. Paper, No.8349.

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  • Roberts, K.W.S. (1980a), Possibility Theorems with Interpersonally Comparable Welfare Levels, Review of Economic Studies, 47, 409–420.

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  • Roberts, K.W. S. (1980b), Interpersonal Comparability and Social Choice Theory. Review of Economic Studies, 47, 421–439.

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  • Sen, A. K. (1970), Collective Choice and Social Welfare, San Francisco: Holden-Day.

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  • Yanoskaya, E. B. (1988), Social Choice Functions for Different Scales of Individual Preferences Measurement (in Russian), Cборник трудов ВНИИСИ. N6. 64–76.

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  • Yanocskaya, E.B. (1989), Social Choice Rules in Problems with Comparisons of Individual Preferences (in Russian), Автомaтикa и тeлeмeхaникa, N6, 129–138.

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Author information

Authors and Affiliations

  1. St. Petersburg, Russia

    Anna B. Khmelnitskaya

Authors
  1. Anna B. Khmelnitskaya
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Editors and Affiliations

  1. Wirtschftswissenschaftliche Fakultät Lehrstuhl für Wirtschaftsinformatik, Universität Passau, D-94030, Passau, Germany

    Peter Kleinschmidt

  2. Zentrum für Paralleles Rechnen, Universität zu Köln, Albertus-Magnus-Platz, D-50923, Köln, Germany

    Achim Bachem

  3. Lehrstuhl für Wirtschaftsinformatik, Universität zu Köln, Albertus-Magnus-Platz, D-50923, Köln, Germany

    Ulrich Derigs

  4. Selecteam Unternehmensberatung, Ritter-Hilprant-Str. 8, D-82024, Taufkirchen, Germany

    Dietrich Fischer

  5. Institut für Statistik und Operations Research, Karl Franzens Universität Graz, Herdergasse 11, A-8010, Graz, Austria

    Ulrike Leopold-Wildburger

  6. Fachbereich Mathematik, TU Berlin, Straße des 17. Juni 136, D-10623, Berlin, Germany

    Rolf Möhring

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© 1996 Springer-Verlag Berlin Heidelberg

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Khmelnitskaya, A.B. (1996). Social Choice Problems with Different Scales of Individual Welfares Measurement for Different Subgroups of Individuals. In: Kleinschmidt, P., Bachem, A., Derigs, U., Fischer, D., Leopold-Wildburger, U., Möhring, R. (eds) Operations Research Proceedings 1995. Operations Research Proceedings, vol 1995. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80117-4_44

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  • DOI: https://doi.org/10.1007/978-3-642-80117-4_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60806-6

  • Online ISBN: 978-3-642-80117-4

  • eBook Packages: Springer Book Archive

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