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Increasing Employment, Diminishing Returns, Relative Shares, and Ricardo

Published online by Cambridge University Press:  07 November 2014

Paul Davidson*
Affiliation:
Rutgers University
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Abstract

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Type
Notes and Memoranda
Copyright
Copyright © Canadian Political Science Association 1960

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References

1 See this issue of the Journal, pp. 143–147.

2 A Clarification of the Ricardian Rent Share,” this Journal, XXV, no. 2, 05, 1959, 190–5.Google Scholar

3 For example, using their suggested function, if N is increased tenfold (starting from the point where the M/A–ratio begins to increase), then the marginal product of labour declines by 16.5 per cent; whereas, if N is increased a thousand fold, then the total decline in the marginal product is 18.7 per cent.

4 “In ordinary discourse … we keep ‘at the back of our heads' the necessary reserves and qualifications and the adjustments which we shall make later on … [whereas] ‘mathematical economics' … [often] allow[s] the author to lose sight of … the real world. …” Keynes, J. M., The General Theory of Employment, Interest and Money (New York, 1936), 297–8.Google Scholar

5 See Allen, R. G. D., Mathematical Analysis for Economists (New York, 1939), 286–9.Google Scholar

6 For the sake of completeness, it should be noted that Ricardo postulated another restriction on the form of the production function. He indicated that, in a given state of technology, constant returns would prevail when land (of a given quality) increased in proportion to doses of labour and capital; that is, there are constant returns to scale. Diminishing returns occur only when the ratio of labour to land increases. Consequently, Ricardo implicitly assumed a production function that was homogeneous of the first degree. This assumption was tacitly (though obscurely) implied in n. 11 of my previous note.