Undiscounted optimal growth in the two-sector Robinson-Solow-Srinivasan model: a synthesis of the value-loss approach and dynamic programming

Abstract

We highlight two features of undiscounted optimal growth in the context of a two-sector model due to Robinson, Solow and Srinivasan. First, we use the value-loss approach of Radner-Gale-McKenzie to show a multiplicity of optimal programs in situations when optimality does not coincide with value-loss minimization. Second, we use a theory of undiscounted dynamic programming, not available in the literature, to derive properties of the optimal policy correspondence. In terms of a methodological perspective, we suggest a synthesis of the two methods for the analysis of problems of optimal intertemporal resource allocation