This is an unabashedly technical post. Yet, you don’t need to be an economist to be intrigued. I hope you’ll be intrigued… Game theorists get involved with some mighty unlikely, at first sight, topics.
This is the abstract from the paper “A study in the pragmatics of persuasion: A game theoretical approach” by Jacob Glazer and Ariel Rubinstein (full PDF available by open access online at econtheory.org):
A speaker wishes to persuade a listener to take a certain action. The conditions under which the request is justified, from the listener’s point of view, depend on the state of the world, which is known only to the speaker. Each state is characterized by a set of statements from which the speaker chooses. A persuasion rule specifies which statements the listener finds persuasive. We study persuasion rules that maximize the probability that the listener accepts the request if and only if it is justified, given that the speaker maximizes the probability that his request is accepted. We prove that there always exists a persuasion rule involving no randomization and that all optimal persuasion rules are ex-post optimal. We relate our analysis to the field of pragmatics.