We find no evidence for relying on the Phillips curve during normal times, such as those currently facing the U.S. economy.
Do Phillips Curves Conditionally Help to Forecast Inflation?
Authors: Michael Dotsey, Shigeru Fujita, and Tom Stark
From:Federal Reserve Bank of Philadelphia
Can Neo-Fisherism be the new foundation for inflation control? Yes, argues Stephen Williamson in this paper and shows how both a New Keynesian model and a segmented markets model do have neo-Fisherian properties.
The US Phillips curve
The US Phillips curve

Year-over-year headline PCE inflation vs. the difference between the unemployment rate and the Congressional Budget Office’s measure of the natural rate of unemployment
Source: Lael Brainard: Phillips Curve Confusion
Infation Control: Do Central Bankers Have It Right?
Author:Stephen Williamson
From: Federal Reserve Bank of St. Louis
Farmer and Nicolò develop a model, namely Farmer’s Monetary model, which exhibits a different relationship between inflation, the output gap and the fed funds rate than the traditional New Keynesian model. It’s a model where demand and supply shocks may have permanent effects on employment and inflation.
Keynesian Economics Without the Phillips Curve
Authors: Roger Farmer, Giovanni Nicolò
From: UCLA