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Generalized Invariant Preferences: Two-parameter Representations of Preferences

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  • Chambers, Robert G.
  • Quiggin, John

Abstract

In this paper, we generalize the model of Quiggin and Chambers (2004) to allow for ambiguity, and derive conditions, referred to as generalized invariance, under which a two argument representation of preferences may be obtained independent of the existence of a unique probability measure. The first of these two arguments inherits the properties of standard means, namely, that they are upper semi-continuous, translatable and positively linearly homogeneous. But instead of being additive, these generalized means are superadditive. Superadditivity allows for means that are computed (conservatively) with respect to a set of prior probability measures rather than a singleton probability measure. The second argument of the preference structure is a further generalization of the risk index derived in Quiggin and Chambers (2004). It is sublinear in deviations from the generalized mean discussed above.

Suggested Citation

  • Chambers, Robert G. & Quiggin, John, 2008. "Generalized Invariant Preferences: Two-parameter Representations of Preferences," Risk and Sustainable Management Group Working Papers 151186, University of Queensland, School of Economics.
    • Handle: RePEc:ags:uqsers:151186
    DOI: 10.22004/ag.econ.151186
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    References listed on IDEAS

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    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
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    More about this item

    Keywords

    Risk and Uncertainty;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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