Koopmans recursive preferences and income convergence

Stiglitz (Econometrica 37 (1969) 382) shows income convergence in a many-agent Solow growth model with integrated capital markets (ICM). The many-agent Ramsey model (MARM) without ICM also gives income convergence. With a. MARM, equal discount rates, and ICM, convergence of incomes (as opposed to product per capita) cannot occur. These results depend upon fixed saving propensities (Stiglitz) or separable additive preferences (Ramsey). Non-convergence of incomes is shown when preferences are identical Koopmans separable (KS). Endogenous discount rates may violate KS. A model for that case is developed when, even under favourable assumptions, oscillations or chaotic dynamics may result. (C) 2004 Elsevier Inc. All rights reserved.