Cryptographically Blinded Games: Leveraging Players' Limitations for Equilibria and Profit

In this work we apply methods from cryptography to enable any number of mutually distrusting players to implement broad classes of mediated equilibria of strategic games without the need for trusted mediation. Our implementation makes use of a (standard) pre-play "cheap talk" phase, in which players engage in free and non-binding communication prior to playing in the original game. In our cheap talk phase, the players execute a secure multi-party computation protocol to sample an action profil...