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Evaluating sets of objects in characteristics space

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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.

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References

  • Gaertner W, Xu Y (2006) Capability sets as the basis of a new measure of human development. J Hum Dev 7: 311–321

    Article  Google Scholar 

  • Gaertner W, Xu Y (2008) A new class of measures of the standard of living based on functionings. Econ Theory 35: 201–215

    Article  Google Scholar 

  • 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

    Google Scholar 

  • Koopmans TC (1964) On the flexibility of future preferences. In: Shelly MW, Bryan GL (eds) Human judgments and optimality. John Wiley, New York

    Google Scholar 

  • Kreps DW (1979) A representation theorem for “preference for flexibility”. Econometrica 47: 565–577

    Article  Google Scholar 

  • Lancaster K (1966) A new approach to consumer theory. J Polit Econ 74: 132–157

    Article  Google Scholar 

  • Pattanaik PK, Xu Y (1990) On ranking opportunity sets in terms of freedom of choice. Rech Econ Louvain 56: 383–390

    Google Scholar 

  • Sen AK (1985) Commodities and capabilities. Elsevier, Amsterdam

    Google Scholar 

  • Sen AK (1991) Welfare, preference and freedom. J Econ 50: 15–29

    Google Scholar 

  • Sen AK (1993) Markets and freedoms. Oxf Econ Pap 45: 519–541

    Google Scholar 

  • Xu Y (2003) On ranking compact and comprehensive opportunity sets. Math Soc Sci 45: 109–119

    Article  Google Scholar 

  • Xu Y (2004) On ranking linear budget sets in terms of freedom of choice. Soc Choice Welf 22: 281–289

    Article  Google Scholar 

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Correspondence to Wulf Gaertner.

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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

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  • DOI: https://doi.org/10.1007/s00355-011-0605-7

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