The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes

Kenneth Arrow, Alain Bensoussan, Qi Feng and Suresh Sethi

MPRA Paper from University Library of Munich, Germany

Abstract: We study an economy in which the rate of change of population depends on population policy decisions. This requires population as well as capital as state variables. By showing the algebraic relationship between the shadow price of the population and the shadow price of the per capita capital stock, we are still able to depict the optimal path and its convergence to the long-run equilibrium on a two-dimensional phase diagram. Moreover, we derive explicitly the expression of genuine savings in our model to evaluate the sustainability of the system.

Keywords: Savings; population policy; value of the population; economic growth; optimal control; phase diagram; dynamic programming (search for similar items in EconPapers)
JEL-codes: E2 O16 O41 (search for similar items in EconPapers)
Date: 2008-01-18
New Economics Papers: this item is included in nep-age and nep-fdg
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Citations: View citations in EconPapers (3)

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