A Theory of Downward Wage Rigidity
Working Paper, 2025
I develop a model where workers are averse to losses as in the cognitive psychology literature, and need to search in order to find a job. In a frictional market in which both workers and firms determine the terms of labor contracts, nominal downward wage rigidity emerges endogenously as a result of the privately optimal division of gains from trade. The model implies that the response of wages to shocks is asymmetric. In response to a temporary negative productivity shock that is not too large, nominal wages are initially rigid and take some time to catch up. In response to a symmetric positive shock, firms increase nominal wages immediately but let real wages erode over time. Inflation “greases the wheels of the labor market”, in the sense that the inaction region is smaller in a high-inflation environment. The model rationalizes a number of additional empirical regularities: (1) wages of job-switchers are more flexible than wages of job-stayers, but not conditional on employment history, (2) the Phillips curve is nonlinear, and (3) the probability of wage changes is state-dependent. Moreover, a calibration to US microdata yields a good fit to the distribution of nominal wage changes with parameters that are consistent with common estimates. The model prescribes an optimal positive inflation target, and a countercyclical response to shocks.
