(Note non-standard day and time and room.)
The Banach-Tarsky paradox and Bayesian games
There is a three-person non-zero-sum Bayesian games without a measurable equilibrium.
However all zero-sum Bayesian games have equilibria. Do all Bayesian games have epsilon equilibria for every positive epsilon? Do they have finitely additively measurable equilibria? What about two-person games? The main arguments come from ergodic theory.