I think your logic is flawed. The only possible way to ensure equal outcomes for people born as someone who might not have the opportunity to understand that lottery tickets are a bad investment (whatever that means) is to seize every bit of wealth and make every decision - in other words, to destroy the concept of the individual and replace it with the collective, managing people like livestock. Yet someone must make those decisions; some group of people must have free will. To make those decisions on anything like a rational basis, that group of people must have good educations. And unless there are replacements for humans, those people will inevitably reward themselves. After all, the most socialist of those in power, the Obamas, Ayers, Kennedies, routinely accept rewards far in excess of average. How much more richly rewarded would they be if they held ultimate power?