[EM] Proportionality-preference tradeoffs

Kristofer Munsterhjelm km-elmet at broadpark.no
Mon Mar 22 15:22:52 PDT 2010

After reading the post on measuring multiwinner goodness (and writing a 
reply to it), I started to think of how to determine how good the 
different multiwinner methods actually are.

One way to do that is by criterion compliance. But there is another: 
while proportionality can't be expressed in terms of majoritarian 
quality (preference), we can still determine the Pareto front, given a 
way to measure proportionality and preference.

There are many ways to do so - I have chosen one combination (normalized 
Sainte-Lague index and Bayesian regret). The results are here: 

May it be of interest! :-)

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