Open AccessPersuasion with unknown beliefs
Author(s) -
Kosterina Svetlana
Publication year - 2022
Publication title -
theoretical economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.404
H-Index - 32
eISSN - 1555-7561
pISSN - 1933-6837
DOI - 10.3982/te4742
Subject(s) - communication source , computer science , action (physics) , ignorance , signal (programming language) , realization (probability) , hyperbola , persuasion , theoretical computer science , mathematics , telecommunications , psychology , statistics , social psychology , political science , physics , geometry , quantum mechanics , law , programming language
A sender designs an information structure to persuade a receiver to take an action. The sender is ignorant about the receiver's prior, and evaluates each information structure using the receiver's prior that is the worst for the sender. I characterize the optimal information structures in this environment. I show that there exists an optimal signal with two realizations, characterize the support of the signal realization recommending approval,, and show that the optimal signal is a hyperbola. The lack of knowledge of the receiver's prior causes the sender to hedge her bets: the optimal signal induces the high action in more states than in the standard model, albeit with a lower probability. Increasing the sender's ignorance can hurt both the sender and the receiver.