Strict Robustness to Incomplete Information

Stephen Morris
Department of Economics, Massachusetts Institute of Technology

Daisuke Oyama
Faculty of Economics, University of Tokyo

and

Satoru Takahashi
Faculty of Economics, University of Tokyo
Department of Economics, National University of Singapore


Abstract
We study a strict version of the notion of equilibrium robustness by Kajii and Morris (1997) that allows for a larger class of incomplete information perturbations of a given complete information game, where with high probability, players believe that their payoffs are close to (but may be different from) those of the complete information game. We show that a strict monotone potential maximizer of a complete information game is strictly robust if either the game or the associated strict monotone potential is supermodular, and that the converse also holds in all binary-action supermodular games. Journal of Economic Literature Classification Numbers: C72, D82.
Key Words: Incomplete information, robustness, monotone potential, sequential obedience, information design.


Japanese Economic Review 74 (2023), 357-376. PDF file
Japanese version