On a Class of Utility and Production Functions Yielding Everywhere Differentiable Demand Functions.
The purpose of this paper is to characterize the class of utility and production functions whose associated demand functions are everywhere differentiable in the positive orthant of n-dimensional Euclidean space. To avoid tiresome repetition we shall refer to such functions as everywhere differentia...
| Publicado en: | Review of Economic Studies Vol. 34; no. 4; pp. 399 - 409 |
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| Formato: | Artículo |
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Oxford University Press / USA
Oct67
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=4618797&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 4618797 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00346527 REM jtl: Review of Economic Studies issn: 00346527 maglogo: N pubinfo: dt: Oct67 vid: 34 iid: 4 pid: 622 pub: Oxford University Press / USA artinfo: ui: 4618797 10.2307/2296558 ppf: 399 ppct: 10 formats: tig: atl: On a Class of Utility and Production Functions Yielding Everywhere Differentiable Demand Functions. aug: au: Dhrymes, P.J. affil: University of Pennsylvania su: Demand function Utility functions Economic demand Production functions (Economic theory) Economic models Economics sug: subj: Demand function Utility functions Economic demand Production functions (Economic theory) Economic models Economics ab: The purpose of this paper is to characterize the class of utility and production functions whose associated demand functions are everywhere differentiable in the positive orthant of n-dimensional Euclidean space. To avoid tiresome repetition we shall refer to such functions as everywhere differentiable. The problem is an essential one, since in the usual comparative statics analysis one obtains a number of qualitative results whose derivation depends on the existence of certain derivatives. While it is true that as stated such results require only local differentiability about the equilibrium point, none the less since the price vector and other relevant quantities are taken as arbitrary points in the positive orthant of the appropriate space, in fact the validity of comparative statics analysis requires that the utility and production function employed admit of everywhere differentiable demand functions. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 1967 holdings: @attributes: islocal: N |
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