Nicolás Rodríguez Gonzalez, University of Arizona: "The Geometry of Thought in Common-Interest Cheap-Talk Games"

This paper explores a multi-sender common-interest communication model. The state space is infinite and multidimensional while senders are language-constrained, which makes full information transmission infeasible. Efficient communication allows the receiver to process information through convex sets provided that preferences satisfy a generalized single-crossing property. These convex sets can be characterized by a finite set of hyperplanes. This convex mode of information processing aligns with the cognitive psychology literature. Finally, the paper establishes that efficient communication through languages with natural properties is generally unattainable, which underscores the tension between the strategic aspects of language formation and natural properties of language.