Bayesian analysis of DSGE models

This paper reviews Bayesian methods that have been developed in recent years to estimate and evaluate dynamic stochastic general equilibrium (DSGE) models. We consider the estimation of linearized DSGE models, the evaluation of models based on Bayesian model checking, posterior odds comparisons, and comparisons to vector autoregressions, as well as the nonlinear estimation based on a second-order accurate model solution. These methods are applied to data generated from correctly specified and misspecified linearized DSGE models, and a DSGE model that was solved with a second-order perturbation method.Macroeconomics ; Vector autoregression

Can a Representative-Agent Model Represent a Heterogeneous-Agent Economy?

Accounting for observed fluctuations in aggregate employment, consumption, and real wage using the optimality conditions of a representative household often requires preferences that are incompatible with economic priors (e.g., Mankiw, Rotemberg, and Summers 1985). This discrepancy between the equilibrium model and the aggregate data is often viewed as evidence of the failure of labor-market clearing. We argue that such a conclusion is premature. We construct a model economy where all prices are flexible and all markets clear at all times but household decisions are not readily aggregated because of incomplete capital markets and the indivisible nature of the labor supply. We demonstrate that if we were to explain the model-generated aggregate time series using decisions of a fictitious" stand-in household, such a household is likely to have a non-concave or unstable utility. Our analysis suggests that the representative-agent model often fails to represent an equilibrium outcome of a heterogeneous-agent economy.Representative-agent model, Aggregation, Heterogeneity, Incomplete Markets, Indivisible Labor, GMM Estimation

Can a Representative-Agent Model Represent a Heterogeneous-Agent Economy?

Accounting for observed fluctuations in aggregate employment, consumption, and real wage using the optimality conditions of a representative household requires preferences that are incompatible with economic priors. In order to reconcile theory with data, we construct a model with heterogeneous agents whose decisions are difficult to aggregate because of incomplete capital markets and the indivisible nature of labor supply. If we were to explain the model-generated aggregate time series using decisions of a stand-in household, such a household must have a non-concave or unstable utility as is often found with the aggregate U.S. data.Representative-Agent Model, Heterogeneous Agent, Macroeconomics

Can a Representative-Agent Model Represent a Heterogeneous-Agent Economy

Published in American Economic Journal: Macroeconomics, 2009, https://doi.org/10.1257/mac.1.2.29</p

Development of Intermediate-Temperature Solid Oxide Fuel Cells for Direct Utilization of Hydrocarbon Fuels

In this study, we compare the performance of SOFC having composite Cu-based anodes but made with the following low-temperature electrolytes: samaria-doped ceria (SDC), Sr- and Mg-doped lanthanum gallate (LSGM), and scandia-stabilized zirconia (ScSZ). Performance (V-I) curves and impedance spectra were measured using H2 and n-butane fuels at 973 K. The results suggest that the use of electrolyte materials with higher ionic conductivity can lead to improved anodes for direct-utilization SOFC, although the performance of each of the cells in n-butane appears to be at least partially limited by the electrochemical oxidation reaction

A Bayesian Approach to Estimating Tax and Spending Multipliers

This paper outlines a simple Bayesian methodology for estimating tax and spending multipliers in a dynamic stochastic general equilibrium (DSGE) model. After forming priors about the parameters of the model and the relevant shock, we used the model to exactly match only one data point: the trough of the Great Depression, that is, an output collapse of 30 percent, deflation of 10 percent, and a zero short-term nominal interest rate. Because we form our priors as distributions, the key economic inference of our analysis - the multipliers of tax and spending - are well-defined probability distributions derived from the posterior of the model. While the Bayesian methods used are standard, the application is slightly unusual. We conjecture that this methodology can be applied in several different settings with severe data limitations and where more informal calibrations have been the norm. The main advantage over usual calibration exercises is that the posterior of the model offers an interesting way to think about sensitivity analysis and gives researchers a useful way to describe model-based inference. We apply our simple estimation method to the American Recovery and Reinvestment Act (ARRA), passed by Congress as part of the 2009 stimulus plan. The mean of our estimate indicates that ARRA increased output by 3.6 percent in 2009 and 2010. The standard deviation of this estimate is 1 percent

The Output Gap, the Labor Wedge, and the Dynamic Behavior of Hours

We use a standard quantitative business cycle model with nominal price and wage rigidities to estimate two measures of economic ineffciency in recent U.S. data: the output gap - the gap between the actual and effcient levels of output - and the labor wedge - the wedge between households' marginal rate of substitution and firms' marginal product of labor. We establish three results. (i ) The output gap and the labor wedge are closely related, suggesting that most ineffciencies in output are due to the ineffcient allocation of labor. (ii ) The estimates are sensitive to the structural interpretation of shocks to the labor market, which is ambiguous in the model. (iii ) Movements in hours worked are essentially exogenous, directly driven by labor market shocks, whereas wage rigidities generate a markup of the real wage over the marginal rate of substitution that is acyclical. We conclude that the model fails in two important respects: it does not give clear guidance concerning the effciency of business cycle uctuations, and it provides an unsatisfactory explanation of labor market and business cycle dynamics