1 The concept of RPCE (Fudenberg and Kamada, 2011) is a recent example where epistemics seem to us useful. Its definition is quite involved, and, while examples illustrate the role of various assumptions, the epistemic analysis confirms the equivalence of the solution concept to the assumptions used in its intuitive description.

2 We can add hard information to our framework, at the cost of notational complexity: see Footnote 49.

3 For detailed definitions see, e.g., Billingsley (2008).

4 For further details on the construction of belief hierarchies, see Armbruster and Böge (1979), Böge and Eisele (1979), Mertens and Zamir (1985), Brandenburger and Dekel (1993), Heifetz (1993), and Heifetz and Samet (1998), among others.

5 As we discussed in ...

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