[EM] Voter satisfaction measure in a general case?
Magosányi Árpád
m4gw4s at gmail.com
Sat Oct 14 01:33:16 PDT 2017
Hi,
I am looking for established methods to measure voter satisfaction for
Condorcet votes, where the result is available, but no data on the utility
function.
I understand that it can be measured by assigning an utility function to
each voter, and see how close the result came to that utility function.
However I could not find anything on how to construct that utility function.
My thoughts:
- I would use a "satisfaction index"
- The best choice have 100% satisfaction index (I am okay with
disregarding the fact that even that might not be 100%)
- If there is a dummy choice (e.g. "I disagree with anything I rank below
this"), than that one is 0%, and the worst ranked is -100%
- If there is no dummy choice, then the worst ranked is 0%
Now what should the function look like for the choices in between?
- Linear (as it is easy and middle ground)?
- Logarithmic/exponential (as choices might mostly near good solutions or
mostly bad)?
- Gaussian (as we are talking about Bayesian regret)?
- Result of some clever computation based on vote statistics?
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