These are additional notes relating to the paper `The Comparative Statics of Constrained Optimization Problems`, which is appearing in Econometrica. It gathers together material present in various earlier versions of the paper, as well as some new material, which are not found in the published...

We identify a natural way of ordering functions, which we call the interval dominance order and develop a theory of monotone comparative statistics based on this order.  This way of ordering functions is weaker than the standard one based on the single crossing property (Milgrom and Shannon,...

We consider an observer who makes a finite number of observations of an industry producing a homogeneous good, where each observation consists of the market price and firm specific production quantities.  We develop a revealed preference test (in the form of a linear program) for the hypothesis...

We construct a unique panel dataset to examine how R&D and intellectual property (IP), via patents and trade marks, increase firm productivity. Knowledge has public good characteristics of non-depletability and non-excludability. Even with IP, imitation and inventing around other firm`s products...

This paper analyses and quantifies the effects of trade liberalisation and skill-biased technical change, both exogenous and trade-induced, on the skill premium and real wages of unskilled and skilled workers in the Mexican manufacturing sector, using industry- and firm-level data for 1984-1990...

This paper develops a sequential learning estimator of production functions and productivity dynamics for unbalanced establishment panels. Extending an idea from the literature on dynamic industry models, establishments are uncertain about their own idiosyncratic productivities and update...

This paper uses novel data on trade mark activity of UK manufacturing and service sector firms to investigate whether trade marks improve the profitability and productivity of firms. We first analyse Tobin`s q, the ratio of stock market value to book value of tangible assets. We then investigate...

This paper presents a model of a rational seller who is actively learning the slope of his demand curve via his pricing strategy.  Consequently, this seller optimally experiments with his price.  Resulting price patterns show a lot of discreteness (as observed in the data), which has proved to...

We present a continous time non tatonnement process for frictionless and perfectly competitive markets with (possibly non convex) production, where the natural rate of unemployment (NRU) emerges as the asymptotic value of unemployment.  Consumers and producers are myopic and repeatedly...

Suppose we observe a finite number of input decisions made by a firm, as well as the prices at which those inputs were acquired.  What conditions on the set of observations are necessary and sufficient for it to be consistent with a firm choosing inputs to maximize profit, subject to a...