Knowledge that Transforms

The relation between perfectly competitive and monopolistically competitive equilibria is analysed for a Bertrand-Edgeworth model of a single market in which capacity constrained firms choose prices as strategies. The market always has a Nash equilibrium in pure or mixed strategies. As the number of firms increases, the corresponding equilibria converge in distribution to a perfectly competitive price. This result provides a justification for perfect competition that is based on an explicit account of price formation. However, monopoly prices persist with a positive but vanishing probability. Regularity or well defined inverse demand functions are not required.

Methods for exact Bayesian inference under a uniform diffuse prior are set forth for the continuous time homogeneous Markov chain model. It is shown how the exact posterior distribution of any function of interest may be computed using Monte Carlo integration. The solution handles the problems of embeddability in a very natural way, and provides (to our knowledge) the only solution that systematically takes this problem into account. The methods are illustrated using several sets of data.

In the Lucas-Rapping (1969) model of the labour market, fluctuations in unemployment represent individuals optimally adjusting their labour supply behaviour in response to fluctuations in wage rates over the business cycle. In this paper I propose and implement a misspecification test of the Lucas-Rapping treatment of unemployment as labour supply behaviour using panel data. This test extends previous such work with micro data by simultaneously allowing for intertemporal substitution, uncertainty and endogenous unemployment. Using the standard specification of intertemporal labour supply behaviour, I find strong evidence against this interpretation of unemployment. There are two possible interpretations of the test results. The first is that it is necessary to turn to alternative models of the labour market in which unemployed workers are off a supply function. The second is that the test results indicate the necessity of moving to more complex models of intertemporal substitution. However, given current econometric techniques and data sets, these alternative models of intertemporal substitution will be extremely difficult to test.

This paper introduces the concepts of direct and indirect factor trade utility functions and uses them to derive Marshallian and Hicksian factor content functions, which express the quantities of factors of production embodied in net imports as functions of the exogenous variables facing the economy. The properties of these functions are discussed and they are used to derive a number of new results. In particular, it is shown that, in certain circumstances, the existence of gains from trade is sufficient for the Heckscher-Ohlin theorem to hold in its factor content form.