Tastes and technology: curvature is not sufficient for regularity.

In specifications of tastes and technology, econometricians often impose curvature globally, but monotonicity only locally or not at all. In fact monotonicity rarely is even mentioned in that literature. But without satisfaction of both curvature and monotonicity, the second-order conditions for opt...

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Publicado en:Journal of Econometrics Vol. 108; no. 1; pp. 199 - 203
Autor principal: Barnett, William A.
Formato: Artículo
Publicado: Elsevier Science May 2002
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        au: Barnett, William A.
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        Mathematical finance
        Intermediation (Finance)
        Production functions (Economic theory)
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          Mathematical finance
          Intermediation (Finance)
          Production functions (Economic theory)
      ab: In specifications of tastes and technology, econometricians often impose curvature globally, but monotonicity only locally or not at all. In fact monotonicity rarely is even mentioned in that literature. But without satisfaction of both curvature and monotonicity, the second-order conditions for optimizing behavior fail, and duality theory fails. The resulting first-order conditions, demand functions, and supply functions become invalid. Although unconstrained specifications of technology are more likely to produce violations of curvature than monotonicity, I believe that induced violations of monotonicity become common, when curvature alone is imposed. Hence the current common practice of equating regularity with curvature is not justified. Copyright (c) 2002 Elsevier Science B.V.
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