This paper was carefully reviewed and discussed by our reviewers, and I took a look at the work myself. There is an interesting set of tools being developed here, and the application of dynamical systems ideas such as volume analysis for understanding the dynamics of learning in games is very neat. The paper is a little bit out of the usual scope for NeurIPS, but this will be of interest to many members of the community. Please make sure to take into account the detailed comments of the reviewers when preparing your camera-ready.