The current reward pool could be devided 50/50 into two PoS/PoB pools.
Let's say Bob is the only one who chooses PoS. He would alone get the 50% of the current reward pool then. Of course it will not really happen, Alice and others would join. At some point ROI in PoS pool would't satisfy Bob any more and he might decide to migrate back to PoB pool. So, some dinamic equilibrium will be found.
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The idea is to not incentivize behavior in either way for maximizing profits, but let people choose freely if they care more about ROI or PoB
I didn't plan to intentivise anything, just proposing some solution for this dilemma :
If everyone loves all their stake to passive, we have a much bigger problem. The whole concept of rewarding good content would be wishful thinking then. I don't believe it is.
If everyone loves all their stake to passive- but you don't - then, under my proposal, you alone will distribute 50% of the current reward pool.
Which is a bad thing, because maximizers will switch their stake back and forth depending on profitability, and we wouldn't solve a single current issue.