This paper is inspired by real-world phenomena that firms lose customers based on imprecise information and take a long time to recover. If consumers are playing an ordinary repeated game with fixed partners, there is no clear reason why recovery slowly happens. However, if consumers are playing...

It is well known that the presence of imperfect monitoring limits the possibility of making efficient agreements. When firms interact repeatedly in multiple markets, however, we show that noisy observations may improve the possibility of collusion. When observation is noisy in at least one...