PROOF OF THE LAW OF DIMINISHING RETURNS

Abstract

Based on a general mathematical model of a technology, implying certain properties for the production function, weak and strong forms of a physical law of diminishing returns are derived. It is also shown that the classical forms of this law hold if the technology is homogeneous (degree one) and the production possibility sets of the technology are strictly convex, but the latter property violates an essential property of a technology, namely that these sets have bounded efficient subsets.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0699154

Entities

People

  • Ronald Shephard

Organizations

  • University of California, Berkeley

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DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • California
  • Engineering
  • Homogeneity
  • Industrial Engineering
  • Magnification
  • Mathematical Models
  • Military Research
  • Models
  • Plastic Explosives
  • Production
  • Real Numbers
  • Sequences
  • United States
  • United States Government
  • Universities

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