I was always puzzled why someone did not do this paper sooner.
Males holding low lottery numbers became more antiwar, more liberal, and more Democratic in their voting compared to those whose high numbers protected them from the draft. They were also more likely than those with safe numbers to abandon the party identification that they had held as teenagers. Trace effects are found in reinterviews from the 1990s.
A new paper by Robert Erikson and Laura Stoker.
My Uganda analogue is here.
h/t John Sides