Entry deterrence with public signal: Revisiting the chain-store paradox

We revisit the classic chain-store paradox by introducing a novel element: the arrival of exogenous, public signals about the incumbent's private type over time. As the horizon lengthens, two opposing forces come into play. On one hand, standard reputational incentives grow stronger; on the other, the increasing availability of information makes it more difficult to sustain a reputation. We show that full deterrence can still emerge as the horizon grows arbitrarily long, though not always, and we provide a complete characterization of the conditions under which it arises.