A House Monotone, Coherent, and Droop Proportional Ranked Candidate Voting Method
Ross Hyman
TL;DR
This paper introduces a ranked candidate voting method based on Phragmen's procedure that ensures proportionality, house monotonicity, and coherence, aligning with properties of divisor methods and avoiding paradoxes.
Contribution
It presents a novel ranked voting method that guarantees proportional representation, house monotonicity, and coherence, extending Phragmen's procedure to ranked candidate elections.
Findings
Method produces a top-down proportional candidate list.
It complies with Droop proportionality and avoids known paradoxes.
The highest ranked candidate is an Instant Runoff winner in at least one proportional set.
Abstract
A Ranked candidate voting method based on Phragmen's procedure is described that can be used to produce a top-down proportional candidate list. The method complies with the Droop proportionality criterion satisfied by Single Transferable Vote. It also complies with house monotonicity and coherence, which are the ranked-candidate analogs of the divisor methods properties of always avoiding the Alabama and New State paradoxes. The highest ranked candidate in the list is the Instant Runoff winner, which is in at least one Droop proportional set of N winners for all N.
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