We study the perfect type-contingently public ex-post equilibrium (PTXE) of repeated games with incomplete information where players observe imperfect public signals of the actions and the map from actions to signal distributions is itself unknown. The PTXE payoffs when players are patient are...

We study an in.nitely-repeated .rst-price auction with common values. Initially, bid-ders receive independent private signals about the objects. value, which itself does not change over time. Learning occurs only through observation of the bids. Under one-sided incomplete information, this...