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Necessary and Sufficient Conditions for Latent Separability

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  • Ian Crawford

    (University of Surrey)

Abstract

This paper extends the nonparametric methods developed by Samuelson (1948), Houthakker (1950), Afriat (1973), Diewert (1973) and Varian (1982, 1983) to latently separable models. It presents necessary and sufficient empirical conditions under which data on the market behaviour of a price-taking consumer, and a hypothesised allocation across latent groups are nonparametrically consistent with latent separability (Gorman (1968, 1978), Blundell and Robin (2000)). It considers homothetic latent separability and weak separability as special cases.

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File URL: http://www.fahs.surrey.ac.uk/economics/discussion_papers/2006/DP07-06.pdf
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Bibliographic Info

Paper provided by School of Economics, University of Surrey in its series School of Economics Discussion Papers with number 0706.

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Length: 5 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:sur:surrec:0706

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Postal: Guildford, Surrey GU2 5XH
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Web page: http://www.surrey.ac.uk/economics/
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Related research

Keywords: Separability; revelaed preference;

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References

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  1. Richard Blundell & Robin, J M, 1995. "Latent separability: grouping goods without weak separability," IFS Working Papers W95/09, Institute for Fiscal Studies.
  2. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  3. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May.
  4. Diewert, W E, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 419-25, July.
  5. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 99-110, January.
  6. Afriat, S N, 1973. "On a System of Inequalities in Demand Analysis: An Extension of the Classical Method," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 460-72, June.
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Cited by:
  1. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2012. "Aggregation without the aggravation? Nonparametric analysis of the representative consumer," CeMMAP working papers CWP03/12, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  2. Martin Browning & Laura Blow, 2006. "Revealed Preference Analysis of Characteristics Models," Economics Series Working Papers 282, University of Oxford, Department of Economics.

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