A labor market with targeted wage offers

We model a market for highly skilled workers, such as the academic job market. The outputs of firm-worker matches are heterogeneous and common knowledge. Wage setting is synchronous with search: firms simultaneously make one personalized o¤er each to the worker of their choice. With large frictions (delay costs), efficient coordination is not possible, but for small frictions efficient matching with Diamond-type monopsony wages is an equilibrium.

Bertrand and the long run

We propose a new model of simultaneous price competition, based on firms offering personalized prices to consumers. In a market for a homogeneous good and decreasing returns, the unique equilibrium leads to a uniform price equal to the marginal cost of each firm, at their share of the market clearing quantity. Using this result for the short-run competition, we then investigate the long-run investment decisions of the firms. While there is underinvestment, the overall outcome is more competitive than the Cournot model competition. Moreover, as the number of firms grows we approach the competitive long-run outcome.