We consider an economy where most of the health care is publicly provided,and where there is waiting time for several types of treatments. Privatehealth care without waiting time is an option for the patients in the publichealth queue. We show that although patients with low waiting costs...

This paper describes a duopoly market for healthcare where one of the two providers is publicly owned and charges a price of zero, while the other sets a price so as to maximize its profit. Both providers are subject to congestion in the form of an M/M/1 queue, and they serve patient-consumers...

We investigate whether people enrolled into voluntary health insurance (VHI) substitute public consumption with private (opt out) or just enlarge their private consumption, without reducing reliance upon public provisions (top up). We study the case of Italy, where a mixed insurance system is in...