Reputation and Turnover

We consider a repeated duopoly game where each firm privately chooses its investment in quality, and realized quality is a noisy indicator of the firm’s investment. We focus on dynamic reputation equilibria, whereby consumers ‘discipline’ a firm by switching to its rival in the case that the realized quality of its product is too low. This type of equilibrium is characterized by consumers’ tolerance level the level of product quality below which consumers switch to the rival firm and firms’ investment in quality. Given consumers’ tolerance level, we determine when a dynamic equilibrium that gives higher welfare than the static equilibrium exists. We also derive comparative statics properties, and characterize a set of investment levels and, hence, payoffs that our equilibria sustain.