Language Log: Mutual appreciation

Today's Zits: Mutual knowledge – at least the kind of mutual knowledge involved in theories of convention, theories of reference, and so on – is generally taken to require the logical equivalent of an infinite conceptual recursion. Thus Herbert Clark and Catherine Marshall ("Definite Reference and Mutual Knowledge") spend several pages exploring a hypothetical situation where Ann uses the phrase "the movie showing at the Roxy tonight", in conversation with Bob,  to refer to Monkey Business. For this usage to be felicitous, it's obvious that Ann must know that "the movie showing at the Roxy tonight" is Monkey Business — which C&M abbreviate as "Ann knows that t is R". But C&M then create a series of scenarios demonstrating that it must also be true that "Ann knows that Bob knows that t is R", and also that "Ann knows that Bob knows that Ann knows that t is R", and furthermore that "Ann knows that Bob knows that Ann knows that Bob knows that t is R", and moreover that "Ann knows that Bob knows that Ann knows that Bob knows that Ann knows that t is R", and so on ad infinitum. But does the relationship between felicitous reference and mutual knowledge have an analogy in the relationship between felicitous favor-solicitation and mutual appreciation? I don't think so, though maybe there are cases where mutual knowledge of one- or two-sided feelings is critical to some sort of social relationship or event.