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Necessary and Sufficient Conditions for Latent Separability

By Ian Crawford


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.Separability, revelaed preference

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  1. (1973). a system of inequalities in demand analysis: An extension of the classical method”,
  2. (1973). Afriat and revealed preference theory”,
  3. (1948). Consumption theory in terms of revealed preference”,
  4. (2000). Latent separability: grouping goods without weak separability”,
  5. (1968). Measuring the quantities of fixed factors”,
  6. (1978). More measures for fixed factors,”,
  7. (1983). Nonparametric tests of consumer behaviour”,
  8. (1950). Revealed preference and the utility function”, Economica,M a y ,
  9. (1982). The nonparametric approach to demand analysis”,
  10. (1984). The nonparametric approach to production analysis",

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