A reporter messaged me the other day. With inflation rising, there was apparently concern in "some quarters" that we could see deflation in 2022. My rather flippant reply was that this was silly, which of course, the next day he reported verbatim. While I regret the flippancy, I'll stand by the analysis.
Stagflation is an environment when you have simultaneously high inflation and high unemployment (implying an economy in recession), which makes a policy response a matter of damned if you do and damned if you don't. Bringing down inflation would slow the economy further, raising unemployment; trying to reduce unemployment would fuel faster inflation. This supposed relationship between inflation and unemployment is embodied by the Phillips curve, named after its inventor, AW Phillips. I won't get into the history of that right now, but suffice to say that its not quite that straightforward.