The LoJack car recovery system allows the police to track stolen cars. As a result, they not only recover 90 percent of LoJack-equipped cars that are stolen but also arrest many auto thieves and shut down many "Chop shops" that take apart stolen vehicles to get at their used parts. Thus, LoJack provides both private benefits and positive externalities.

Should the government consider subsidizing LoJack purchases? Explain your answer.