Stability and auctions in labor markets with job security

•Fu et al. (2016) introduced a stability concept for labor markets with job security.•We show that their proposed outcomes form Nash equilibria of a natural auction.•In this auction game, firms compete for workers.•This result parallels literature on stable outcomes and similar auctions.•This result also yields new price of anarchy bounds for this auction game.

Fu et al. (2016) introduced a stability concept for labor markets with job security. We show that their proposed outcomes form Nash equilibria of an auction where firms compete for workers. This parallels literature on stable outcomes and similar auctions, and yields new price of anarchy bounds.