[EM] Median-based PR systems

[Toby Pereira]

Except that this wouldn't give proportional results.


From: Toby Pereira <tdp201b at yahoo.co.uk>
To: election-methods <election-methods at electorama.com>
Sent: Saturday, 17 September 2011, 16:56
Subject: [EM] Median-based PR systems


In Forest Simmons's system of Proportional Approval Voting each voter's satisfaction score is based on the number of elected candidates they voted for - 1 + 1/2 + 1/3 + ... + 1/n and the set of candidates giving the highest mean satisfaction score wins. This could be changed to highest median. (Other versions such as 1 + 1/3 + 1/5 etc can be used.)

As I think has been dicussed in this mailing list, this can be extended to Range Voting by using harmonic numbers which give a continuous function for summing reciprocals. If you gave three elected candidates 3/10, 4/10 and 9/10, the number of elected candidates that you voted for would be considered to be 0.3+0.4+0.9=1.6. As before you could find the set of candidates with highest median satisfaction score.

Toby
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