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Invariance Axioms and Functional Form Restrictions in Structural Models

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Abstract
The dominant practice in economics is to choose the mathematical specification of model relations on the basis of convenience, without much theoretical support. This paper discusses how quantitative model specifications can, in some cases, be given a more formal scientific underpinning in the sense of being based on a priori theory. I use an example from discrete choice theory to illustrate that it is sometimes possible to obtain a complete characterization of the choice model derived from a set of plausible axioms. Furthermore, I discuss how axioms can be tested non-parametrically, given that suitable Stated Preference data are available.

Suggested Citation

  • Dagsvik, John K, 2017. "Invariance Axioms and Functional Form Restrictions in Structural Models," Memorandum 08/2017, Oslo University, Department of Economics.
    • Handle: RePEc:hhs:osloec:2017_008
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    File URL: http://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2017/memo-08-2017.pdf
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    More about this item

    Keywords

    Functional form; Theory of measurement; Invariance principles; Independence from Irrelevant Alternatives; Testing of inequality hypotheses;
    All these keywords.

    JEL classification:

    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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