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We actually did some research into creating an LMSR prediction market with DLCs earlier this year. The main problem with it is you need to code up a transfer mechanism for DLCs, and there are much higher liquidity requirements compared to ecash.
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Just a suggestion for further research, this is another newer option that allows for the dlc contract to enforced on chain in an efficient manner but allows for buy-ins and pay-outs over lightning when everyone cooperates: https://github.com/conduition/dlctix