u* = √uv

This paper shows that under simple but realistic assumptions, the efficient unemployment rate u* is the geometric average of the unemployment and vacancy rates. In the United States, 1930–2022, u* is stable and averages 4.1%.

January 2023 · Pascal Michaillat, Emmanuel Saez

An Economical Business-Cycle Model

This paper develops a policy-oriented business-cycle model with fluctuating unemployment, stable inflation, and long zero-lower-bound episodes. The innovations are that producers and consumers meet through a matching function, and wealth enters the utility function.

April 2022 · Pascal Michaillat, Emmanuel Saez

Beveridgean Unemployment Gap

This paper develops a sufficient-statistic formula for the unemployment gap based on the Beveridge curve. The formula features the Beveridge elasticity, unemployment cost, and recruiting cost. In the United States the unemployment gap is generally positive and is countercyclical.

December 2021 · Pascal Michaillat, Emmanuel Saez

Optimal Public Expenditure with Inefficient Unemployment

This paper shows that when unemployment is inefficient, optimal public expenditure deviates from the Samuelson rule to reduce the unemployment gap. Optimal stimulus spending is governed by the unemployment gap, unemployment multiplier, and an elasticity of substitution.

May 2019 · Pascal Michaillat, Emmanuel Saez