In a first project on Long-Term Care hospitals, we find discharges increase substantially after the threshold, with the marginal discharged patient in relatively better health. To assess provider behavior under counterfactual payment schedules, we estimate a simple dynamic discrete choice model of LTCH discharge decisions. When we conservatively limit ourselves to alternative contracts that hold the LTCH harmless, we find that an alternative contract can generate Medicare savings of about $2,100 per admission, or about 5% of total payments. More aggressive payment reforms can generate substantially greater savings, but the accompanying reduction in LTCH profits has potential out-of-sample consequences. Motivated by this first paper, we wrote a second paper on long-term care hospitals. We use the entry of LTCHs into local hospital markets and an event study design to estimate LTCHs' impact. We find that most LTCH patients would have counterfactually received care at Skilled Nursing Facilities -- post-acute care facilities that provide medically similar care to LTCHs but are paid significantly less -- and that substitution to LTCHs leaves patients unaffected or worse off on all dimensions we can objectively measure. In a third paper, we explored a voluntary payment reform in Medicare, in which one medical provider receives a single, predetermined payment for a sequence of related healthcare services, instead of separate service-specific payments. This "bundled payment" program was originally implemented as a 5-year randomized trial, with mandatory participation by hospitals assigned to the new payment model, but after two years participation was unexpectedly made voluntary for half of these hospitals. Using detailed claim-level data, we document that voluntary participation is more likely for hospitals who can increase revenue without changing behavior ("selection on levels") and for hospitals that had large changes in behavior when participation was mandatory ("selection on slopes"). To assess outcomes under counterfactual regimes, we estimate a simple model of responsiveness to and selection into the program. We find that the current voluntary regime generates inefficient transfers to hospitals and reduces social welfare compared to the status quo, but that alternative (feasible) designs could substantially reduce these inefficient transfers. Our analysis highlights key design elements to consider under voluntary regulation.