2008
DOI: 10.20955/wp.2008.043
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The Stability of Macroeconomic Systems with Bayesian Learners

Abstract: We study abstract macroeconomic systems in which expectations play an important role. Consistent with the recent literature on recursive learning and expectations, we replace the agents in the economy with econometricians. Unlike the recursive learning literature, however, the econometricians in the analysis here are Bayesian learners. We are interested in the extent to which expectational stability remains the key concept in the Bayesian environment. We isolate conditions under which versions of expectational… Show more

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Cited by 27 publications
(6 citation statements)
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“…An alternative would be to assume that agents act as Bayesian econometricians, who update their priors in light of new sample observations. The latter case has been studied in Bullard and Suda (2011), who show how extra terms may appear in the economy's law of motion. 8 Although agents' learning with the described endogenous gain is by no means optimal, it can be expected to provide a fairly good approximation to the optimal forecasting behavior of agents who are concerned about possible unknown breaks in the economy, but who do not want to take a stand on the nature or timing of the breaks, or on the existence or number of regimes, and assuming that the agents, in their loss function, are much more concerned about very large forecast errors than relatively small ones.…”
Section: Learningmentioning
confidence: 99%
“…An alternative would be to assume that agents act as Bayesian econometricians, who update their priors in light of new sample observations. The latter case has been studied in Bullard and Suda (2011), who show how extra terms may appear in the economy's law of motion. 8 Although agents' learning with the described endogenous gain is by no means optimal, it can be expected to provide a fairly good approximation to the optimal forecasting behavior of agents who are concerned about possible unknown breaks in the economy, but who do not want to take a stand on the nature or timing of the breaks, or on the existence or number of regimes, and assuming that the agents, in their loss function, are much more concerned about very large forecast errors than relatively small ones.…”
Section: Learningmentioning
confidence: 99%
“…Cogley and Sargent (2008a) show that the consumption and investment choices under fully Bayesian (i.e., internalizing future updating) and adaptive learning behavior are very similar for low values of the coefficient of relative risk aversion. Similarly, Bullard and Suda (2016) show that Bayesian learning schemes, while more sophisticated, do not alter the standard expectational stability conditions in a class of linear expectational models. They do show, however, that the transitional dynamics could be different.…”
Section: Discussionmentioning
confidence: 91%
“…Here we show that under Bayesian Learning, current expectations are affected by past forecast errors; this, together with the assumption that exclusion restriction holds, establishes the validity of past forecast errors as instruments for current forecasts. We closely follow Bullard and Suda (2008). Suppose that the true fundamental, θ, follows an AR 1process:…”
Section: Resultsmentioning
confidence: 99%