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An Alternative Derivation And A Generalization Of Nataf'S Theorem

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  • Somermeyer, W. H.
  • van Daal, J.

Abstract

Nataf's theorem on consistent aggregation of micro-relationships - reqUiring separability - is reconsidered with a view to: (a) streamlining the derivation of the theorem beyond the stage carried through by Green; (b) relaxing some of the conditions formerly required for that purpose, in particular the differentiability of the functions; (c) generalizing the originally "single-output", two-dimensional aggregation theorem to multiple outputs and to three (and more) dimensions.

Suggested Citation

  • Somermeyer, W. H. & van Daal, J., 1977. "An Alternative Derivation And A Generalization Of Nataf'S Theorem," Econometric Institute Archives 272151, Erasmus University Rotterdam.
    • Handle: RePEc:ags:eureia:272151
    DOI: 10.22004/ag.econ.272151
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    References listed on IDEAS

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    1. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
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