The paper was refereed by 4 knowledgeable reviewers. All reviewers appreciated the contributions of the paper: - Formalization of self play and formal proof when it is guaranteed to converge - New algorithm for calibrating equilibria that is more effective than a naive use of BO. - Convincing results on a market agent scenario. The biggest concern that was discussed between the reviewers was the assumption of the extended transitivity. While this was addressed partially in the rebuttal, the authors should add a longer discussion in the paper for which games this assumption holds. However, after the discussion all reviewers agreed that the paper merits acceptance and I join this decision.