Consecutively Halved Positional Voting: A Special Case of Geometric Voting

The Borda count is a positional voting system that favors ‘consensual’ candidates with broad support while plurality instead biased towards ‘polarizing’ ones strong support. Our article focusses first on developing indices for quantifying bias and then vector analysis design, seeking to find an intermediate evenly balanced between consensus polarization. are based the preference weightings of normalized represents class affine equivalent ones. use form geometric progression evolves from this development. Such ‘geometric voting’ can represent any three preferences. With its common ratio as sole variable, also span whole spectrum continuously regardless number preferences it employs; demonstrated by our case study 1860 US presidential election four candidates. Using variable analytical tool, establishes ‘consecutively halved optimum one balance. In 2019 Nauru general election, compared Dowdall rival comprises harmonic several advantages identified.