Arrow, Kenneth J. and Bensoussan, Alain and Feng, Qi and Sethi, Suresh P. (2008): The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes.
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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.
|Item Type:||MPRA Paper|
|Original Title:||The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes|
|Keywords:||Savings, population policy, value of the population, economic growth, optimal control, phase diagram, dynamic programming|
|Subjects:||O - Economic Development, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models
E - Macroeconomics and Monetary Economics > E2 - Macroeconomics: Consumption, Saving, Production, Employment, and Investment
O - Economic Development, Technological Change, and Growth > O1 - Economic Development > O16 - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance
|Depositing User:||Suresh P. Sethi|
|Date Deposited:||14. Apr 2009 00:38|
|Last Modified:||18. Feb 2013 09:32|
 K. J. Arrow, A. Bensoussan, Q. Feng, and S. P. Sethi(2007). Optimal savings and the value of population, Proceedings of the National Academy of Sciences(PNAS), 104, 47, 18421-18426.
 K. J. Arrow, P. Dasgupta, and K.-G. M¨aler (2003). The genuine savings criterion and the value of population, Economic Theory, 21, 217-225.
 K. J. Arrow and M. Kurz (1970). Public investment, the rate of return, and optimal fiscal policy, Johns Hopkins Press, Baltimore, MD.
 N. A. Derzko, S. P. Sethi and G. L. Thompson (1984). Necessary and sufficient conditions for optimal control of quasilinear partial differential systems. J. of Optimization Theory and Applications, 43, 1989-1001.
 D. Parfit (1984). Reasons and persons, Oxford University Press, UK.
 J. Pezzey (1992), Sustainable development concepts: an economic analysis, World Environment Paper No. 2, World Bank.
 S. P. Sethi and G. L. Thompson (2000). Optimal control theory: applications to management science and economics, MA.