The Hunger Games. It makes sense to believe that if we had a draft, policy makers would be less likely to engage in risky military adventurism because their own sons and daughters might be called to serve. However, the raw numbers suggest that the probability of this happening is so infinitesimally small that it would be insignificant, except for symbolic value, perhaps.
Instituting the draft in one of the aforementioned ways (increasing the size of the military or partitioning off draft “slots”) would not spread the burden of service uniformly over the population because of the few who are eligible to serve. It would not lessen the burden of service for the individual or make the armed forces more representative of the general population, and it would likely have only a marginal effect on policy makers’ decision making because the chances of their sons or daughters being drafted in a shrinking military filled with volunteers is so miniscule.