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

Economic Slack

This graduate course presents various matching models of economic slack. It uses them to study business-cycle fluctuations; Keynesian, classical, and frictional unemployment; optimal monetary policy and the zero lower bound; and optimal government spending.

December 2022 · Pascal Michaillat

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

Unemployment

This graduate course presents various matching models of the unemployment. It uses them to study unemployment fluctuations, job rationing, unemployment gap, and labor market policies—minimum wage, payroll tax, public employment, and unemployment insurance.

March 2022 · Pascal Michaillat

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

Pricing under Fairness Concerns

This paper develops a model of pricing in which buyers care about the fairness of markups but misinfer them from prices. The model yields price rigidity, generates realistic Phillips curves, and explains why people dislike inflation so much.

June 2021 · Erik Eyster, Kristof Madarasz, Pascal Michaillat

Resolving New Keynesian Anomalies with Wealth in the Utility Function

This paper resolves the anomalies of the New Keynesian model at the zero lower bound—explosive recession, forward guidance puzzle, multiplier puzzle—by introducing wealth into the utility function.

May 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

Intermediate Macroeconomics

This undergraduate course introduces macroeconomic concepts—such as GDP and inflation—and covers the IS-LM model of business cycles, matching model of unemployment, Phillips curve, Malthusian model of growth, and Solowian model of growth.

December 2018 · Pascal Michaillat

A Macroeconomic Approach to Optimal Unemployment Insurance: Applications

This paper explores how the optimal replacement rate of unemployment insurance varies over the business cycle in the United States. It finds that the optimal replacement rate is countercyclical, just like the actual replacement rate.

May 2018 · Camille Landais, Pascal Michaillat, Emmanuel Saez

A Macroeconomic Approach to Optimal Unemployment Insurance: Theory

This paper develops a theory of optimal unemployment insurance in matching models. It derives a sufficient-statistic formula for optimal unemployment insurance, which is useful to determine the optimal cyclicality of unemployment insurance.

May 2018 · Camille Landais, Pascal Michaillat, Emmanuel Saez

Aggregate Demand, Idle Time, and Unemployment

This paper develops a model of unemployment fluctuations. The innovation is to represent the labor and product markets with a matching structure. The model simultaneously features Keynesian unemployment, classical unemployment, and frictional unemployment.

May 2015 · Pascal Michaillat, Emmanuel Saez

A Theory of Countercyclical Government Multiplier

This paper develops a New Keynesian model in which the government multiplier doubles when the unemployment rate rises from 5% to 8%. The multiplier is so countercyclical because in bad times, on the labor market, job rationing dwarfes matching frictions.

January 2014 · Pascal Michaillat

Do Matching Frictions Explain Unemployment? Not in Bad Times

This paper proposes a matching model of the labor market with job rationing: unemployment does not disappear in the absence of matching frictions. In recessions, job rationing drives the rise in unemployment, whereas matching frictions contribute little to unemployment.

June 2012 · Pascal Michaillat