Social welfare functions for different subgroup utility scales

Anna Borisovna Khmelnitskaya, A.S. Tangian (Editor), J. Gruber (Editor)

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

26 Downloads (Pure)

Abstract

This paper characterizes social welfare functions for different scales of individual utility measurement in distinct population subgroups. Different combinations of ordinal, interval, ratio, and translation scales are studied. We consider situations when utility comparisons among subgroups of individuals by unit and/or zeropoint can or cannot be made, that is when subgroup utility scales are dependent or independent. We show that for combinations of independent subgroup utility scales every corresponding social welfare function is completely determined by the opinions of only one subgroup of individuals when there is not more than one subgroup with ratio or translation scale measurable utilities. Otherwise it also might be determined by the union of subgroups corresponding to ratio and translation scales, and is in agreement with the utility scales of the decisive coalition. We also investigate social welfare functions admissible given various combinations of interval scales with a common unit that combine individual utilities from different subgroups, or with a common zero that lead to the existence of a dictatorial subgroup.
Original languageEnglish
Title of host publicationConstructing and Applying Objective Functions
Subtitle of host publicationProceedings of the Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, Held in Haus Nordhelle, August, 28 — 31, 2000
EditorsAndranik S. Tangian, Josef Gruber
Pages515-530
Number of pages16
ISBN (Electronic)978-3-642-56038-5
DOIs
Publication statusPublished - 2002
EventFourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions 2000 - University of Hagen, Hagen, Germany
Duration: 28 Aug 200031 Aug 2000
Conference number: 4

Conference

ConferenceFourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions 2000
CountryGermany
CityHagen
Period28/08/0031/08/00

Keywords

  • EWI-24041
  • IR-88067

Fingerprint Dive into the research topics of 'Social welfare functions for different subgroup utility scales'. Together they form a unique fingerprint.

  • Cite this

    Khmelnitskaya, A. B., Tangian, A. S. (Ed.), & Gruber, J. (Ed.) (2002). Social welfare functions for different subgroup utility scales. In A. S. Tangian, & J. Gruber (Eds.), Constructing and Applying Objective Functions: Proceedings of the Fourth International Conference on Econometric Decision Models Constructing and Applying Objective Functions, University of Hagen, Held in Haus Nordhelle, August, 28 — 31, 2000 (pp. 515-530) https://doi.org/10.1007/978-3-642-56038-5_28