This paper concerns multistage games, with and without discounting, in which each player can increase the level of an action over time so as to increase the other players' future payoffs. An action profile is said to be achievable if it is the limit point of a subgame perfect equilibrium path....

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...