Skip to content

Descriptive racial representation and anti-gerrymandering at once

This post follows up on my earlier advice to consider minority-party representation (MPR) as an anti-gerrymandering measure. Its basics are described here and reproduced at the bottom of the post.

This week’s news has been about the potential for new Republican district maps to reduce the number of Black members of the U.S. House of Representatives. MPR can be designed to address that problem too.

Read more…

Minority-party representation (MPR) to fix gerrymandering

We recommended open-list proportional representation (OLPR) in the 2023 APSA report because we reasoned that MMP was not viable. MMP stands for “mixed-member PR,” a form of proportional representation that includes single-seat districts (SSD). Here is the rationale behind our recommendation, some potential objections to that advice, and a way to resuscitate something like MMP. I will call it minority-party representation (MPR).

Read more…

List PR to fix cumulative voting

Cumulative voting is an electoral system in which the voter can give more than one vote to one person. Its purpose is to prevent a district’s largest faction from winning every seat. When parties enter this picture, they face three related problems. One is to decide how many candidates to run. Another is to decide which people these will be. The third is to get voters to mark the general-election ballot in a way that gets the slate elected.

Yesterday, I discovered a paper in which two political scientists propose a way to relieve parties of all three tasks: make a vote for a candidate also count for the party slate, allocate seats to parties in proportion to their vote shares, and give those seats to the candidates with the most votes in each party. This is known in the literature as free-list proportional representation (FLPR).

Cumulative voting famously was used to elect the Illinois lower chamber in three-seat districts, 1870-1980. The context for the above reform proposal seems to have been increasing party factionalism. Saywer and MacRae (1962) refer to party committees’ increasing difficulty in deciding how many candidates to run and who they should be. FLPR would have obviated these dilemmas. Sawyer and MacRae also note that it might have obviated primaries as well.

I also found a paper that mentions a potential majority reversal due to voters’ ballot markings at some point in the 1950s. This paper also notes a gripe that the minority party sometimes had a larger share of seats than its apparent share of votes. I say “apparent” because it is not straightforward to compute a party’s vote share with a multiple-vote rule. FLPR might have helped with these issues too, although the small district magnitude of three would have made it hard to get fine-grained proportionality.



“Downward cascade” under RCV in Heber City (UT)

“Downward cascade” refers to a potential one-person-one-vote violation in the block-preferential form of ranked-choice voting (BPV). Ben Reilly introduced me to the term when we wrote this piece on BPV.

BPV aims to find the majority winner for each seat in a multi-seat district. It does so by breaking the election into “tabulations” — one for each seat. All votes from tabulation t proceed to t+1 and so on. The key word there is “all.” The winner of the first tabulation does not proceed to the second, but the votes that elected that person do.

So we say that votes can “cascade downward” from the first winner to others. This is not the same as a “transfer” in any of the other transferable-vote systems. Those transfers aim (in theory) to give each vote equal weight.

KPCW radio has a story on the outcome. Here is the key bit:

Candidate Christen Thompson ranked second in the race for each of the three city council seats, so he was not elected. While he said he’s disappointed, he still supports the ranked-choice system.

“I really like ranked choice, because it really gives people the chance to vote for what they believe in… without being afraid of losing their vote,” he said.

The city website lets us verify the district magnitude.

It also lets us see a BPV count in action. Pay attention to the final-round count in each tabulation. (It may help to follow the fate of Thompson above.)

The data suggest that downward cascade from Johnston and/or Cheatwood helped Ostergaard beat Thompson. Ostergaard was in fifth place at the end of the first tabulation.

Had the city used the “bottoms up” form instead (again see), the top three candidates from the first tabulation would have won the seats.

Alas, “bottoms up” is not popular with those who insist on theoretically majoritarian reforms. Nor is single transferable vote, since it is widely seen as (semi-)proportional.

Australian Senate elections were by BPV for three decades.