Moving Average Representations In Rational Expectations Models

At the core of the rational expectations revolution is the insight that economic policy does not operate independently of economic agents' knowledge of that policy and their expectations of the effects of that policy. This means that there are very complicated feedback relationships existing between policy and the behaviour of economic agents, and these relationships pose very difficult problems in econometrics when one tries to exploit the rational expectations insight in formal economic modelling. This volume consists of work by two rational expectations pioneers dealing with the "nuts and bolts" problems of modelling the complications introduced by rational expectations. Each paper deals with aspects of the problem of making inferences about parameters of a dynamic economic model on the basis of time series observations. Each exploits restrictions on an econometric model imposed by the hypothesis that agents within the model have rational expectations.

At the core of the rational expectations revolution is the insight that economic policy does not operate independently of economic agents' knowledge of that policy and their expectations of the effects of that policy. This means that there are very complicated feedback relationships existing between policy and the behaviour of economic agents, and these relationships pose very difficult problems in econometrics when one tries to exploit the rational expectations insight in formal economic modelling. This volume consists of work by two rational expectations pioneers dealing with the "nuts and bolts" problems of modelling the complications introduced by rational expectations. Each paper deals with aspects of the problem of making inferences about parameters of a dynamic economic model on the basis of time series observations. Each exploits restrictions on an econometric model imposed by the hypothesis that agents within the model have rational expectations.

A comprehensive exposition of rational expectations models is provided here, working up from simple univariate models to more sophisticated multivariate and non-linear models.

This book is devoted to the econometric analysis of linear multivariate rational expectation models. It shows that the interpretation of multiplicity in terms of "new degrees of freedom" is consistent with a rigorous econometric reasoning. Non-uniqueness is the central theme of this book. Each chapter is concerned with a specific econometric aspect of rational expectations equilibria. The most constructive result lies in the possibility of an empirical determination of the equilibrium followed by the economy.

News - or foresight - about future economic fundamentals can create rational expectations equilibria with non-fundamental representations that pose substantial challenges to econometric efforts to recover the structural shocks to which economic agents react. Using tax policies as a leading example of foresight, simple theory makes transparent the economic behavior and information structures that generate non-fundamental equilibria. Econometric analyses that fail to model foresight will obtain biased estimates of output multipliers for taxes; biases are quantitatively important when two canonical theoretical models are taken as data generating processes. Both the nature of equilibria and the inferences about the effects of anticipated tax changes hinge critically on hypothesized information flows. Different methods for extracting or hypothesizing the information flows are discussed and shown to be alternative techniques for resolving a non-uniqueness problem endemic to moving average representations.

Assumptions about how people form expectations for the future shape the properties of any dynamic economic model. To make economic decisions in an uncertain environment people must forecast such variables as future rates of inflation, tax rates, governme.