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Well I know the APR from staking sps is around 50%, but I don't believe that takes into consideration vouchers. I also don't think that providing LP with SPS yields vouchers.
There is definitely math to be done. I'm not sure what the voucher price would need to be at to make staking SPS the most profitable option. I imagine all options tend to move toward a baseline profitability. If providing LP for instance gave 2x more rewards than raw staking, people can just dump their daily airdrop to buy vouchers for instance, or just compound their position for increased upside.
As complex equations are a little out of my grasp, I can only give answers that raise more questions.
Yeah, that math is impossible, one can not know for how much the vouchers, in the end, will be traded, where the SPS price will or whether the DEC price will stay as high as it is. The game prints A LOT of DEC every day.
On top of all of that, the Airdrop is dependent on the totally staked SPS. More SPS staked, less Airdrop per staked SPS. Prisoners Dilemma.