Two essays in microeconomic theory and econometrics

Abstract

The thesis contains two chapters which address questions important both for the economic theory and applications. In Chapter I we show that inequalities are an important tool in the theory of production functions. Various notions of internal economies of scale can be equivalently expressed in terms of upper or lower bounds on production functions. In the problem of aggregation of efficiently allocated goods, if one is concerned with two-sided bounds as opposed to exact expressions, the aggregate production function can be derived from some general assumptions about production units subject to aggregation. The approach used does not require smoothness or convexity properties. In Chapter II we introduce a new forecasting techniques essential parts of which include using average high-order polynomial estimators for in-sample fit and low-order polynomial extension for out-of-sample fit. We provide some statements following the Gauss-Markov theorem format. The empirical part shows that algebraic polynomials treated in a proper way can perform very well in one-step-ahead prediction, especially in prediction of the direction of exchange rate movements.