One reason that HIV infection is high is because it's a taboo subject. The government can affect this taboo status through education, yes, and also this way.
Punishing HIV positive people (for example, by making it illegal for them to enter the country) contributes to this taboo. Giving a government-mandated lottery ticket mitigates the taboo, and it's my belief that this will have lasting positive consequences even after the lottery goes away.
Also, people not getting infected today are not infecting people tomorrow (exponentially). Stopping infections today is exactly the right thing to do for the long-term.
Punishing HIV positive people (for example, by making it illegal for them to enter the country) contributes to this taboo. Giving a government-mandated lottery ticket mitigates the taboo, and it's my belief that this will have lasting positive consequences even after the lottery goes away.
Also, people not getting infected today are not infecting people tomorrow (exponentially). Stopping infections today is exactly the right thing to do for the long-term.