The authors use theoretical models to examine the joint evolution of different cheating strategies: selfish cheating (not contributing to a common good), and manipulative cheating (inducing a competitor to preferentially provide benefits to the cheat). The models seem well formulated and the results robust. That said, improvements could be made to the presentation to clarify the assumptions and wider applicability of the model. An improved article would provide a better understanding of the mechanisms behind cheating, which would be of interest to readers working on the evolution of cooperation, potentially opening up new directions for theoretical and empirical work.
(This preprint has been reviewed by eLife. We include the public reviews from the reviewers here; the authors also receive private feedback with suggested changes to the manuscript. The reviewers remained anonymous to the authors.)