Hierarchy of beliefs

Construction by Jean-François Mertens and Zamir implementing with John Harsanyi's proposal to model games with incomplete information by supposing that each player is characterized by a privately known type that describes his feasible strategies and payoffs as well as a probability distribution over other players' types. Another popular example of the usage of the construction is the Prisoners and hats puzzle. And so is Robert Aumann's construction of Common knowledge (logic).

Hierarchy of beliefs

Construction by Jean-François Mertens and Zamir implementing with John Harsanyi's proposal to model games with incomplete information by supposing that each player is characterized by a privately known type that describes his feasible strategies and payoffs as well as a probability distribution over other players' types. Another popular example of the usage of the construction is the Prisoners and hats puzzle. And so is Robert Aumann's construction of Common knowledge (logic).