Abstract
This article contributes to the literature on the evaluation of sets of opportunities. The starting point is Lancaster’s characteristics approach. However, instead of assuming the existence of a canonical utility function, a reference point or reference level is postulated from which an agent evaluates set expansions in appropriate directions. One of the major tools for this exercise is the notion of directed cones. Desirability of characteristics is restricted to the interior of these cones. Satiation and non–monotonic evaluation is considered as well. An axiomatic characterization for various cases is provided.
This is a preview of subscription content, access via your institution.
References
Gaertner W, Xu Y (2006) Capability sets as the basis of a new measure of human development. J Hum Dev 7: 311–321
Gaertner W, Xu Y (2008) A new class of measures of the standard of living based on functionings. Econ Theory 35: 201–215
Gaertner W, Xu Y (2009) Reference-dependent rankings of sets in characteristics space. Soc Choice Welf (forthcoming 2011)
Hirshleifer J, Hirshleifer D (1998) Price theory and applications. 6th edn. Prentice-Hall, London
Koopmans TC (1964) On the flexibility of future preferences. In: Shelly MW, Bryan GL (eds) Human judgments and optimality. John Wiley, New York
Kreps DW (1979) A representation theorem for “preference for flexibility”. Econometrica 47: 565–577
Lancaster K (1966) A new approach to consumer theory. J Polit Econ 74: 132–157
Pattanaik PK, Xu Y (1990) On ranking opportunity sets in terms of freedom of choice. Rech Econ Louvain 56: 383–390
Sen AK (1985) Commodities and capabilities. Elsevier, Amsterdam
Sen AK (1991) Welfare, preference and freedom. J Econ 50: 15–29
Sen AK (1993) Markets and freedoms. Oxf Econ Pap 45: 519–541
Xu Y (2003) On ranking compact and comprehensive opportunity sets. Math Soc Sci 45: 109–119
Xu Y (2004) On ranking linear budget sets in terms of freedom of choice. Soc Choice Welf 22: 281–289
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gaertner, W. Evaluating sets of objects in characteristics space. Soc Choice Welf 39, 303–321 (2012). https://doi.org/10.1007/s00355-011-0605-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00355-011-0605-7