摘要:In the Dasgupta-Heal-Solow-Stiglitz model of capital accumulation and resource
depletion we show the following equivalence: If an efficient path has
constant (gross and net of population growth) savings rates, then population
growth must be quasi-arithmetic and the path is a maximin or a classical utilitarian
optimum. Conversely, if a path is optimal according to maximin or
classical utilitarianism (with constant elasticity of marginal utility) under quasiarithmetic
population growth, then the (gross and net of population growth)
savings rates converge asymptotically to constants.
关键词:Constant savings rate, quasi-arithmetic population
growth