Logical Dialogues with Explicit Preference Profiles and Strategy Selection

The Barth–Krabbe–Hintikka–Hintikka Problem, independently raised by Barth and Krabbe (From axiom to dialogue: a philosophical study of logics and argumentation. Walter de Gruyter, Berlin, 1982) and Hintikka and Hintikka (The sign of three: Peirce, Dupin, Holmes. In: Eco U, Sebeok TA (eds) Sherlock Holmes confronts modern logic: Toward a theory of information-seeking through questioning. Indiana University Press, Bloomington, 1983), is the problem of characterizing the strategic reasoning of the players of dialogical logic and game-theoretic semantics games from rational preferences rather than rules. We solve the problem by providing a set of preferences for players with bounded rationality and specifying strategic inferences from those preferences, for a variant of logical dialogues. This solution is generalized to both game-theoretic semantics and orthodox dialogical logic (classical and intuitionistic).