Take the scene in “Pride and Prejudice” where Lady Catherine de Bourgh demands that Elizabeth Bennet promise not to marry Mr. Darcy. Elizabeth refuses to promise, and Lady Catherine repeats this to Mr. Darcy as an example of her insolence — not realizing that she is helping Elizabeth indirectly signal to Mr. Darcy that she is still interested.
It’s a classic case of cluelessness, which is distinct from garden-variety stupidity, Mr. Chwe argues. “Lady Catherine doesn’t even think that Elizabeth” — her social inferior — “could be manipulating her,” he said. (Ditto for Mr. Darcy: gender differences can also “cause cluelessness,” he noted, though Austen was generally more tolerant of the male variety.)
I've not read the Austen book, but I do have one misgiving. Game theory is about interactions between autonomous individuals. While novels depict their characters as being autonomous actors, they are not autonomous. They are creatures of the author.