Tuning one's shower in some hotels may turn into a challenging coordination game with imperfect information. The temperature sensitivity increases with the number of agents, making the problem possibly unlearnable. Because there is in practice a finite number of possible tap positions, identical...

Earlier studies of the seigniorage inflation model have found that the high-inflation steady state is not stable under adaptive learning. We reconsider this issue and analyze the full set of solutions for the linearized model. Our main focus is on stationary hyperinflationary paths near the...

We introduce the E-correspondence principle for stochastic dynamic expectations models as a tool for comparative dynamics analysis. The principle is applicable to equilibria that are stable under least squares and closely related learning rules. With this technique it is possible to study,...

In a seminal 1972 paper, Robert M. May asked: "Will a Large Complex System Be Stable?" and argued that stability (of a broad class of random linear systems) decreases with increasing complexity, sparking a revolution in our understanding of ecosystem dynamics. Twenty-five years later, May,...

Adaptive learning introduces persistence in the evolution of agents' beliefs over time. For applied purposes this is a convenient feature to help explain why economies present sluggish adjustments towards equilibrium. The pace of learning is directly determined by the gain parameter, which...

This paper provides a microfounded information acquisition technology based on a simple framework with information search. When searchable information is limited, an agent encounters increasingly more redundant information in his search for new information. Redundancy slows down the learning...

We show that a so-called expectations-based optimal monetary policy rule has desirable properties in a standard New Keynesian model augmented with a cost channel and inflation rate expectations that are partly backward-looking. In particular, optimal monetary policy under commitment is...