LogGrad98
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They could do a 3-level lottery. First level, every team is included, and it is used to set the stage for the 15 teams included in the 2nd stage. Everyone not selected gets their draft pick in their record order, but outside of the 15. The 2nd stage breaks out the 6 teams competing for the top 6 picks, the remaining 9 get their pick from 7-15 in record order. Then a third level gives you the pick order from 1-6. That way there is a far outside chance of the best team ending up with the #1 pick. And the worst team might end up at 16 at the worst. But the odds are skewed more heavily in favor of the worse teams for each stage of the lottery. This way there is less incentive to tank full-on maybe, depending on how things are weighted.