In issue 3 of Chalkdust, Alex Bolton wrote an article about the maths of voting systems. In this week’s blog post, Alex looks at some interesting referenda relating to changing the status quo, and some difficulties in designing the system used.
In 2011, New Zealand was asked whether it would like to change its voting system. Voters were asked two questions:
- Should New Zealand keep the current voting system?
- If New Zealand were to change to another voting system, which voting system would you choose? (4 options were given)
If a majority were in favour of changing the voting system then the new system would be chosen using the alternative vote on the alternatives. This system has a clear problem: if both
- 49.9% of the electorate think the status quo is the best system, and
- the status quo would beat any alternative in a one-on-one contest,

A sample ballot paper for the 2003 California recall election.
A similar system was used in the 2003 California governor recall election. Voters were simultaneously asked whether they wanted to recall the current governor Gray Davies, and who they would like to replace Davies. 55% of voters chose to remove Davies on the first ballot, and he did not appear on the second ballot. The Republican Arnold Schwarzenegger won the second ballot. It was very easy to be nominated as a candidate for the second ballot, and Arnold Schwarzenegger was one of 136 candidates, including former child actor Gary Coleman and 46 other Republicans.
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Candidates in the New Zealand flag referendum.
The design of a referendum on the status quo is critical to ensuring that the wishes of the electorate are understood. Care needs to be taken to ensure that the electorate have a good idea of what the alternative to the status quo is in order for voters to articulate their true preferences without unintended incentives to do the contrary.
Header image: Flag referendum candidates flying above Albatross Fountain on Wellington Waterfront, Flickr user glasnevinz, CC BY-SA 2.0.
Flags: (1) Public domain. (2) Kyle Lockwood, CC BY 3.0. (3) Kyle Lockwood, CC BY 3.0. (4) Public domain. (5) Alofi Kanter, CC By 3.0. (6) Andrew Fyfe CC BY 3.0