Equivalence of Utilitarian Maximal and Weakly Maxmal Programs
For a class of aggregative optimal growth models, which allow for a non-convex and non-differentiable production technology, this paper examines whether the set of utilitarian maximal programs coincides with the set of weakly maximal programs. It identifies a condition, called the Phelps-Koopmans condition, under which the equivalence result holds. An example is provided to demonstrate that the equivalence result is invalid when the Phelps-Koopmans condition does not hold.
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- Basu, Kaushik & Mitra, Tapan, 2003.
"Utilitarianism for Infinite Utility Streams: A New Welfare Criterion and Its Axiomatic Characterization,"
03-05, Cornell University, Center for Analytic Economics.
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- Majumdar, Mukul & Mitra, Tapan, 1982. "Intertemporal allocation with a non-convex technology: The aggregative framework," Journal of Economic Theory, Elsevier, vol. 27(1), pages 101-136, June.
- Majumdar, Mukul & Mitra, Tapan, 1983. "Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 143-51, January.
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