"Abstract: This paper presents the first systematic theoretical and empirical study of high-low agreements in civil litigation. A high-low agreement is a private contract that, if signed by litigants before the conclusion of a trial, constrains the future damages payment to lie between a minimum and a maximum amount. Whereas the existing literature describes litigation as a choice between trial and settlement, our examination of high-low agreements—a relatively new phenomenon in civil litigation—introduces partial or incomplete settlements. In our theoretical model, trial is both costly and risky. When litigants have divergent subjective beliefs and are mutually optimistic about their trial prospects, cases may fail to settle. In these cases, high-low agreements can be in the litigants' mutual interest because they limit the risk of outlier damages awards while still allowing for an optimal degree of speculation. Using unique insurance claims data from a national insurance company, we describe the features of these agreements and empirically investigate the factors that may influence whether litigants discuss or enter into high-low agreements. Our empirical findings are consistent with the predictions of the theoretical model. We also explore extensions and alternative explanations for high-low agreements,including their use to mitigate excessive, offsetting trial expenditures"--John M. Olin Center for Law, Economics, and Business web site.