Geometry of run-off elections
- 200 Downloads
We present a geometric representation of the method of run-off voting. With this representation we can observe the non-monotonicity of the method and its susceptibility to the no-show paradox. The geometry allows us easily to identify a novel compromise rule between run-off voting and plurality voting that is monotonic.
KeywordsGeometry Voting Monotonicity Election triangle
I am extremely grateful to Nick Miller, Ashley Piggins, Bill Zwicker and two anonymous reviewers for many helpful comments and suggestions.
- Black, D. (1958). The theory of committees and elections. Cambridge: Cambridge University Press.Google Scholar
- Coombs, C. H. (1964). A theory of data. Oxford: Wiley.Google Scholar
- Gudgin, G., & Taylor, P. J. (1979). Seats, votes, and the spatial organisation of elections. London: Pion.Google Scholar
- Ibbetson, D. (1965). Comment on Hugh B. Berrington, “The General Election of 1964”. Journal of the Royal Statistical Society, Series A (General), 128, 54–55.Google Scholar
- Miller, N. R. (2002). Monotonicity failure under STV and related voting systems. San Diego: Paper presented at the Annual Meeting of the Public Choice Society.Google Scholar
- Miller, N. R. (2015). Complexities of majority voting. Working paper.Google Scholar
- Norman, R. Z. (2012). Frequency and severity of some STV paradoxes. Miami: Paper presented at the World Meeting of the Public Choice Societies.Google Scholar
- Saari, D. G. (1992). Millions of election outcomes from a single profile. Social Choice and Welfare, 9(4), 277–306.Google Scholar
- Shelton, W. (1972). Majorities and pluralities in elections. American Statistician, 26(5), 17–19.Google Scholar
- Yee, K.-P. (2006). Voting simulation visualizations.http://zesty.ca/voting/sim/.