Given an intransitive relation over options (distributions over outcomes), you can use voting methods like beatpath to define a similar transitive relation or choose among options even when there’s intransitivity in a choice set. Using beatpath on the specific actual option sets you face in particular will mean violating the independence of irrelevant alternatives, which I’m pretty okay with giving up, personally.
You could apply beatpath to the set of all conceivable options, even those not actually available to you in a given choice situation, but I imagine you’ll get too much indifference or incomparability.
Given an intransitive relation over options (distributions over outcomes), you can use voting methods like beatpath to define a similar transitive relation or choose among options even when there’s intransitivity in a choice set. Using beatpath on the specific actual option sets you face in particular will mean violating the independence of irrelevant alternatives, which I’m pretty okay with giving up, personally.
This is done in this paper:
https://globalprioritiesinstitute.org/teruji-thomas-the-asymmetry-uncertainty-and-the-long-term/
You could apply beatpath to the set of all conceivable options, even those not actually available to you in a given choice situation, but I imagine you’ll get too much indifference or incomparability.