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We introduce well-known microeconomics productivity measures in Solow models in discrete time or continuous time by adopting a Luenberger-type approach. In each framework, we derive the productivity indicators and the dynamical paths. Firstly, we show that the expression of the productivity indicators are similar to the well-known Solow residuals, allowing us to make ananalogy between a firm's behaviour in a microeconomic setting and a country's behaviour in a macroeconomic setting. Secondly, we demonstrate that the properties of the paths are similar in both frameworks Postprint

This paper investigates the economics of uncertainty using a state‐contingent approach with a focus on the role of non‐convexity. Under efficiency, the slopes of a separating hypersurface measures state‐contingent prices. As argued by Yaari, normalized state‐contingent prices provide a measure of subjective probabilities. But efficiency under non‐convexity can require non‐linear pricing. The analysis identifies non‐convexity conditions under which probability assessments are not appropriate. Implications for economic and welfare analysis under uncertainty are discussed.

There are two total factor productivity indices available in the literature based on a primal notion of the technology. In a ratio tradition, these are the Malmquist and the Hicks-Moorsteen productivity indices. In a difierence perspective, the Luenberger and LuenbergerHicks-Moorsteen productivity indicators are based upon a sightly different concept. The purpose of this note is to establish that -in contrast to the Malmquist index- the Hicks-Moorsteen type of productivity index (as well as its difierence-based counterpart) is well-deflned and satisfles the determinateness property, since the underlying distance functions are always feasible.