Introduction to a Theory of the Internal Structure of Functional Relationships

Leontief, Wassily

doi:10.2307/1905335

Cited by 392 publications

(103 citation statements)

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“…Nesting is basically an exercise in aggregation and therefore must satisfy the necessary conditions of aggregation so that the aggregate variable qualifies for being used to compute substitution elasticities (Leontief, 1947, Fisher, 1993Felipe & Fisher, 2001). We observe that the coefficients of correlation r(K,L) = -0.87 , r(K,E) = 0.76 and r(L,E) = -0.88 in the data given in Table- ; rho is free…”

Section: Fitting Of Sato's Two-level Production Function To Germamentioning

confidence: 83%

A Note on Numerical Estimation of Sato's Two-Level CES Production Function

Mishra

2006

SSRN Journal

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Section: Fitting Of Sato's Two-level Production Function To Germamentioning

confidence: 83%

A Note on Numerical Estimation of Sato's Two-Level CES Production Function

Mishra

2006

SSRN Journal

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“…where  denotes a primitive of  If  is not a scalar, then (44) implies that Leontief's (1947) Proposition 1 on functional separability, there then exists a real valued function  such that  ( ) = P (  ()). Sufficiency is shown by Lau (1982, p.97).…”

Section: Proof Of Propositionmentioning

confidence: 99%

Aggregation with Cournot Competition: An Empirical Investigation

Koebel¹,

Laisney²

2016

Annals of Economics and Statistics

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Abstract. This paper empirically investigates the existence of Cournot equilibrium and the validity of the Le Chatelier-Samuelson (LCS) principle in the aggregate. Whereas two well known existence conditions are statistically rejected, we cannot reject a third, original, condition. We also find some empirical evidence for the LCS principle, as well as both increasing and constant returns to scale for two-digit US manufacturing industries. The results highlight the importance of imperfect competition for understanding aggregate growth, investment and employment.

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“…A group of goods is said to be weakly separable if the marginal rate of substitution between any two goods in the group is independent from the quantities consumed of any good outside this group (Leontief, 1947;Sono, 1961). Weak separability has several convenient implications.…”

Section: Introductionmentioning

confidence: 99%

Revealed preference tests for weak separability: An integer programming approach

Cherchye

Demuynck

Rock

et al. 2015

Journal of Econometrics

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We focus on the revealed preference conditions that characterize the collection of nite data sets that are consistent with the maximization of a weakly separable utility function. From a theoretical perspective, we show that verifying these revealed preference conditions is a difficult problem, i.e. it is np-complete. From a practical perspective, we present an integer programming approach that can verify the revealed preference conditions in a straightforward way, which is particularly attractive in view of empirical analysis. We demonstrate the versatility of this integer programming approach by showing that it also allows for testing homothetic separability and weak separability of the indirect utility function. We illustrate the practical usefulness of the approach by an empirical application to Spanish household consumption data. In this application we also include two statistical tests in which we account for measurement error. JEL Classi cation: C14, C60, D01, D10.Keywords: weak separability, revealed preference, integer programming * We thank Ian Crawford for generously providing us the data of the Encuesta Continua de Presupestos Familiares (ECPF), which we use in our empirical study. We are also grateful to Adrian Fleissig, James Swofford and Gerald Whitney for helpful comments. is paper is a merger of two working papers, Cherchye, Demuynck, and De Rock (2011c) and Hjertstrand (2011

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Introduction to a Theory of the Internal Structure of Functional Relationships

Cited by 392 publications

References 0 publications

A Note on Numerical Estimation of Sato's Two-Level CES Production Function

A Note on Numerical Estimation of Sato's Two-Level CES Production Function

Aggregation with Cournot Competition: An Empirical Investigation

Revealed preference tests for weak separability: An integer programming approach

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