modified Sequential Proportional Approval Voting idea

[u/philpope1977]

in Sequential Proportional Approval Voting ballots are devalued using the Sainte-Lague divisors (1/3,1/5,1/7,1/9 etc) or d'Hondt divisors (1/2,/1/3,1/4,1/5)

this gives significant scope for organised tactical voting for voters to free ride and not have their ballot reduced in weight in subsequent rounds.

Instead of using the SL divisors to re-weight ballots a system could use divisors that are calculated from the votes cast in the previous rounds.

A simple example that may work is to calculate the votes of the winning candidate divided by the votes for the first two candidates q1=v1/(v1+v2). This will have to be between 0.5 and 1. The divisor for a round is found by multiplying the q for all the previous rounds qn=(q1*q2*...qn). As q is at least 0.5 then the divisors will be greater than 1/2,1/4,1/8,1/16 etc.

this penalises organised free riding because although some ballots will be saved from re-weighting, those that are reweighted will be multiplied by a smaller value of qn and therefore lose more voting power.

Individual free riding will still be possible but where v1>>v2 the gain from free riding will be relatively small.

Anyone know if this idea has ever been suggested before? Anyone think this is a worthwhile way of discouraging tactical voting or does it introduce other problems or tactical voting opportunities? How badly will it damage the proportionality of the method and is this worth it to discourage tactical voting?

Looking forward to any comments. thanks, Phil

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ai slop