On the Function Coefficient, Euler's Theorem, and Homogeneity in Production Theory

This paper makes three related points useful in teaching first-year graduate production theory. First, the local applicability of the classical function coefficient idea for short-run nonhomogeneous production technologies is shown for returns to scale, satisfaction of second-order and total conditions for profit maximization, and delineation of the economic region of production in factor space. Second, the general applicability of Euler's Theorem results to nonhomogeneous (variable-proportional-return) cases is developed. Lastly, it is shown that short-run, nonhomogeneous production/yield functions are fully consistent with long-run linear homogeneity.     

The law of one price: a test based on prices for selected inputs in New Zealand agriculture

The law of one price (LOOP) is an essential foundation of both the pure theory of trade and monetary theory. Strictly speaking, the law relates to prices of individual commodities. However, empirical tests of LOOP have often relied on aggregated data. In this paper, a model is derived and estimated using price data for 15 selected inputs in New Zealand agriculture. The results offer no support for the LOOP in the short run, and the results for the long run are mixed. It may be inappropriate, therefore, to assume that the LOOP holds generally in modelling exercises, particularly when models are used for policy purposes.