Generalization of the Nash equilibrium under uncertainty. How can this be visually done?

Question

Mathematics

This is the title of my coursework.
Unfortunately, my supervisor did not explain what needs to be done, how to do it. That is, he simply gave me the name of the course and that's it. There was no game theory as such. 2 pointless lectures for the whole semester.
I need at least a direction where to move, what to work with.