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#### Article Title

The Likelihood of Choosing the Borda-Winner With Partial Preference Rankings of the Electorate

#### Abstract

Given that n voters report only the first *r* (1 *≤* *r* < *m*) ranks of their linear preference rankings over m alternatives, the likelihood of implementing Borda outcome is investigated. The information contained in the first *r* ranks is aggregated through a Borda-like method, namely the *r*-Borda rule. Monte-Carlo simulations are run to detect changes in the likelihood of *r*-Borda winner(s) to coincide with the original Borda winner(s) as a function of *m*, *n* and *r*. The voters’ preferences are generated through the Impartial Anonymous and Neutral Culture Model, where both the names of the alternatives and voters are immaterial. It is observed that, for a given r, the likelihood of choosing the Borda winner decreases down to zero independent of n as m increases within the computed range of parameter values, 1≤ *m, n* ≤ 30. For *n* = 30, this likelihood is given as an approximating function of r and m through least square fit method.

#### Recommended Citation

Eğecioğlu, Ömer and Giritligil, Ayça Ebru
(2011)
"The Likelihood of Choosing the Borda-Winner With Partial Preference Rankings of the Electorate,"
*Journal of Modern Applied Statistical Methods*:
Vol. 10:
Iss.
1, Article 32.

Available at:
http://digitalcommons.wayne.edu/jmasm/vol10/iss1/32