Looking for intuitions to extend bargaining notions

post by ProgramCrafter (programcrafter) · 2024-08-24T05:00:13.995Z · LW · GW · No comments

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I've come up with two ideas - variations on bargaining ROSE values [? · GW]:

• qROSE ("quantum" version) - instead of taking average over agents' permutations, mean should be weighted and encompass all "trajectories" - sequences of agents' decisions like [A B A A C B]. I'm not sure what the weights should naturally be, as it seems there might be many different assignments which integrate to 1.
• lROSE / ROLE ("leaky" version) - utility cannot be transferred 1:1; instead, it is multiplied by $\alpha \in (0;1)$ upon any transfer.

Are there existing writeups which seem relevant to this? Alternatively, what intuitions might be useful to develop them?

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