Optimality and Representation of Competitive Equilibria with Time-Dependent Preferences

Abstract

This paper focuses on the welfare properties of equilibria in exchange economies with time-dependent preferences. We introduce a notion of recursive efficiency and show that any quilibrium allocation is efficient in the sense defined. Therefore, we present a version of the First Fundamental Welfare Theorem for this class of economies. Moreover, we present a social welfare function with maximisers that coincide with recursively efficient allocations, and prove that every equilibrium can be represented by a solution to a social welfare optimisation problem.