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27/07/2022

Existence of competitive equilibrium in an optimal growth model with heterogeneous agents and endogenous leisure

This paper proves the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents and elastic labor supply. The method of proof relies on some recent results concerning the existence of Lagrange multipliers in infinite dimensional spaces and their representation as a summable sequence and a direct application of the Brouwer fixed point theorem.