Platform-mediated reputation systems in the sharing economy and incentives to provide service quality: the case of ridesharing services

•A case study of 9 ridesharing platforms reviews reputation-based control mechanisms.•An inter-temporal choice model analyses their effects on drivers’ compliance.•Scale of rating and threshold for exclusion are irrelevant for incentives if they can switch.•Portability of reputation improves incentives.•Uncertainty as to the operation of the algorithm may enhance efficiency.