Matches in SemOpenAlex for { <https://semopenalex.org/work/W1499906796> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W1499906796 abstract "In economic analysis, the importance of the homotheticity of production functions (or utility functions), which is due to Shephard (1953), has been well recognized. Its important feature lies in the fact that every expansion path is a ray from the origin and the underlying production (or utility) function is homothetic. Although the proof of the part of this statement is easy, the proof of the only if part, at least as it appears in the literature, is not easy, requiring a few pages for the proof. Lau (1969) proved it by way of partial differential equations (cf. pp. 379-81), and Fare and Shephard (1977a, b) used a set-theoretic approach, whereas Sandler and Swimmer (1978) proved it for the two-input case. F0rsund (1975) provides a simple proof for a closely related proposition (cf. his Proposition 2), and yet his proof requires the use of partial differential equations. It would thus be desirable to obtain an elementary, short alternative proof of the above important proposition. The purpose of this note is to offer such a proof. In this paper we prove both the only if and the part simultaneously. Although our proof is carried out in terms of production theory, the same proof obviously applies to the theory of consumption. Let f(x) be the production function of a firm which produces a single output, where x is an n-dimensional input vector. The firm minimizes its" @default.
- W1499906796 created "2016-06-24" @default.
- W1499906796 creator A5049487015 @default.
- W1499906796 creator A5073912850 @default.
- W1499906796 date "1989-09-01" @default.
- W1499906796 modified "2023-09-26" @default.
- W1499906796 title "On Homothetic Functions" @default.
- W1499906796 cites W1540138081 @default.
- W1499906796 cites W1584847342 @default.
- W1499906796 cites W1979129908 @default.
- W1499906796 cites W2016764636 @default.
- W1499906796 cites W2020994943 @default.
- W1499906796 cites W2021919766 @default.
- W1499906796 cites W2081909024 @default.
- W1499906796 cites W2797969947 @default.
- W1499906796 doi "https://doi.org/10.2307/3440089" @default.
- W1499906796 hasPublicationYear "1989" @default.
- W1499906796 type Work @default.
- W1499906796 sameAs 1499906796 @default.
- W1499906796 citedByCount "3" @default.
- W1499906796 crossrefType "journal-article" @default.
- W1499906796 hasAuthorship W1499906796A5049487015 @default.
- W1499906796 hasAuthorship W1499906796A5073912850 @default.
- W1499906796 hasConcept C111472728 @default.
- W1499906796 hasConcept C138885662 @default.
- W1499906796 hasConcept C139719470 @default.
- W1499906796 hasConcept C14036430 @default.
- W1499906796 hasConcept C144237770 @default.
- W1499906796 hasConcept C162324750 @default.
- W1499906796 hasConcept C17744445 @default.
- W1499906796 hasConcept C199539241 @default.
- W1499906796 hasConcept C202444582 @default.
- W1499906796 hasConcept C2524010 @default.
- W1499906796 hasConcept C2777026412 @default.
- W1499906796 hasConcept C2777152325 @default.
- W1499906796 hasConcept C2777478746 @default.
- W1499906796 hasConcept C2778348673 @default.
- W1499906796 hasConcept C2780586882 @default.
- W1499906796 hasConcept C33923547 @default.
- W1499906796 hasConcept C78458016 @default.
- W1499906796 hasConcept C86803240 @default.
- W1499906796 hasConcept C91709909 @default.
- W1499906796 hasConcept C92064499 @default.
- W1499906796 hasConceptScore W1499906796C111472728 @default.
- W1499906796 hasConceptScore W1499906796C138885662 @default.
- W1499906796 hasConceptScore W1499906796C139719470 @default.
- W1499906796 hasConceptScore W1499906796C14036430 @default.
- W1499906796 hasConceptScore W1499906796C144237770 @default.
- W1499906796 hasConceptScore W1499906796C162324750 @default.
- W1499906796 hasConceptScore W1499906796C17744445 @default.
- W1499906796 hasConceptScore W1499906796C199539241 @default.
- W1499906796 hasConceptScore W1499906796C202444582 @default.
- W1499906796 hasConceptScore W1499906796C2524010 @default.
- W1499906796 hasConceptScore W1499906796C2777026412 @default.
- W1499906796 hasConceptScore W1499906796C2777152325 @default.
- W1499906796 hasConceptScore W1499906796C2777478746 @default.
- W1499906796 hasConceptScore W1499906796C2778348673 @default.
- W1499906796 hasConceptScore W1499906796C2780586882 @default.
- W1499906796 hasConceptScore W1499906796C33923547 @default.
- W1499906796 hasConceptScore W1499906796C78458016 @default.
- W1499906796 hasConceptScore W1499906796C86803240 @default.
- W1499906796 hasConceptScore W1499906796C91709909 @default.
- W1499906796 hasConceptScore W1499906796C92064499 @default.
- W1499906796 hasLocation W14999067961 @default.
- W1499906796 hasOpenAccess W1499906796 @default.
- W1499906796 hasPrimaryLocation W14999067961 @default.
- W1499906796 hasRelatedWork W1964203711 @default.
- W1499906796 hasRelatedWork W1974192537 @default.
- W1499906796 hasRelatedWork W1979086830 @default.
- W1499906796 hasRelatedWork W1994222714 @default.
- W1499906796 hasRelatedWork W1997872268 @default.
- W1499906796 hasRelatedWork W2032324972 @default.
- W1499906796 hasRelatedWork W2058491034 @default.
- W1499906796 hasRelatedWork W2058518279 @default.
- W1499906796 hasRelatedWork W2104602679 @default.
- W1499906796 hasRelatedWork W2123349558 @default.
- W1499906796 hasRelatedWork W2293493106 @default.
- W1499906796 hasRelatedWork W2314523682 @default.
- W1499906796 hasRelatedWork W2328635828 @default.
- W1499906796 hasRelatedWork W2335056304 @default.
- W1499906796 hasRelatedWork W2336520105 @default.
- W1499906796 hasRelatedWork W2339976024 @default.
- W1499906796 hasRelatedWork W2428215183 @default.
- W1499906796 hasRelatedWork W51009994 @default.
- W1499906796 hasRelatedWork W9417244 @default.
- W1499906796 hasRelatedWork W2188483107 @default.
- W1499906796 isParatext "false" @default.
- W1499906796 isRetracted "false" @default.
- W1499906796 magId "1499906796" @default.
- W1499906796 workType "article" @default.