Consumption En Route: The Second Turnpike Theorem

Michio Morishima

in Theory of Economic Growth

Published in print December 1969 | ISBN: 9780198281641
Published online November 2003 | e-ISBN: 9780191596667 | DOI:
 Consumption En Route: The Second Turnpike Theorem

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Chapter 10 was concerned with the Final State Turnpike Theorem on the assumptions that consumption of each good per worker is fixed throughout the planning period and that the authorities try to maximize the stocks of goods that they can bestow, at the horizon, upon the future citizens; this chapter looks at a Second Turnpike Theorem. The partial optimization for the sake of the future should more properly be superseded by a general mutual optimization, so that the benefits from the properties initially available are shared between the people living in the planning period and those after that; this would inevitably cause confrontation with one of the hardest problems of economics—the interpersonal and intertemporal comparisons of utilities. In this chapter, attempts to solve the crux of the problem are abandoned and the other extreme is addressed: the conditions are derived for Ramsey optimality as distinct from DOSSO efficiency, i.e. optimization is in favour of the people in the planning period, and the satisfaction of the future residents is pegged at a certain level, of which the present residents approve. Among all feasible programmes that leave, at the end of the planning period, necessary amounts of goods for the future residents, the question is whether the people living choose a single one that is most preferable from their own point of view, i.e. there is a switch over of ideology from abstinence for the future to satisfaction in the transient life. The different sections of the chapter include discussion of: two norms of optimum growth—the Golden Balanced Growth path and the Consumption Turnpike; the existence of the Consumption Turnpike; the Silvery Rule of Accumulation’ the singular case where there is no discrimination between the living and the coming people; the Consumption Turnpike Theorem—the cases of the subjective time‐preference factor not being greater than the growth factor of the population, and of the former being greater than the latter; and an example of a cyclic Ramsey‐optimum growth.

Keywords: consumption; Consumption Turnpike Theorem; cyclic Ramsey‐optimum growth; DOSSO efficiency; economic growth; Final State Turnpike Theorem; Golden Balanced Growth path; Golden Equilibrium; optimality; optimization; planning; planning period; F. P. Ramsey; Ramsey optimality; satisfaction; Second Turnpike Theorem; Silvery Rule of Accumulation; transience; Turnpike Theorems; utilities; utility comparisons; workers

Chapter.  14167 words. 

Subjects: Economic Development and Growth

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