The reviewers agree and myself agree that this is an interesting game theoretic model to study that could appeal to the neurips community and which has been well-studied already. They also agree that the paper provides a solid theoretical contribution. However, there is a strong worry about the motivation behind the choice of best-response dynamics and the restriction to pure equilibria that although tackled in the rebuttal, still not satisfactorily. Given the strong and non-trivial theoretical results and the relevance of the model, I am would recommend acceptance as a poster, but the authors are strongly encouraged to augment their arguments in the paper regarding the justification of their restrictions above, and how they relate to practical relevance.