It seems that “Unifying Bargaining” sequence relies on being able to denominate utility in some units that can actually be obtained and suggested as trade to any party so that party would get worse results claiming to have other utility function (with the same preference ordering but with other values).
https://en.wikipedia.org/wiki/Prioritarianism and https://www.lesswrong.com/posts/hTMFt3h7QqA2qecn7/utilitarianism-meets-egalitarianism may be relevant here. Are you familiar with https://www.lesswrong.com/s/hCt6GL4SXX6ezkcJn as well? I’m curious how you’d compare the justification for your use of arctan to the justifications in those articles.
Thank you for those articles!
It seems that “Unifying Bargaining” sequence relies on being able to denominate utility in some units that can actually be obtained and suggested as trade to any party so that party would get worse results claiming to have other utility function (with the same preference ordering but with other values).