Cost minimization of nonconvex firms under prices in normal cones.

Clarke's normal cone has been frequently used to formulate the marginal cost pricing rule for nonconvex firms. I provide examples where a firm with convex iso-output sets is not minimizing its cost at a price vector in the normal cone. For a firm to be cost minimizing under any price in the normal...

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Detalles Bibliográficos
Publicado en:International Economic Review Vol. 35; pp. 1019 - 1029
Autor principal: Ishimoto, Osamu
Formato: Artículo
Publicado: Wiley-Blackwell November 1994
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:Clarke's normal cone has been frequently used to formulate the marginal cost pricing rule for nonconvex firms. I provide examples where a firm with convex iso-output sets is not minimizing its cost at a price vector in the normal cone. For a firm to be cost minimizing under any price in the normal cone, lower hemicontinuity of the iso-output correspondence is sufficient. I also provide an extension of the second welfare theorem, with a price vector in the normal cone of each firm and cost minimization of firms. Reprinted by permission of the publisher.