Hopefully, with that lottery's, people wants to get the vaccine because that is for their health and protecting them from the virus. The prizes are not important, but their health will be the important thing that they need to concern about. If they can be the winner after the vaccine, that will be their bonus because they follow what their government suggested. It should need more attention from people and awareness to get the vaccine. Besides that, the vaccine is free and they do not have to pay anything.
Several months have passed since the vaccination program has started in the United States. And despite widespread concerns initially, adverse effects from the vaccination have been noted from very few recipients. Almost half of the population has so far received both doses of the vaccine. At this point, there is no point in encouraging people who are reluctant to take vaccine to get inoculated. The field data is already available and if someone still don't want the vaccine, then IMO he or she shouldn't be forced.
Although they can not be forced to get the vaccine, that still for their health, especially if they want to get out in the public area. That vaccine can give protection to them, although it is not full protection because that will depend on their health. Yes, the second vaccine is already given to people, including to the elderly. But still, many of them do not want to get the vaccine. They can leave the lottery and do not fills anything, but they should concern about their health and follow their government suggestion, especially for their health. That is the important thing.