Abstract
A method is given for resolving a matrix of preference scores into a well-specified mixture of options. This is done in agreement with several desirable properties, including the continuity of the mixing proportions with respect to the preference scores and a condition of compatibility with the Condorcet-Smith majority principle. These properties are achieved by combining the classical rating method of Zermelo with a projection procedure introduced in previous papers of the same authors.
Original language | English |
---|---|
Pages (from-to) | 99-136 |
Journal | Publicacions Matematiques |
Volume | 59 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2015 |
Keywords
- Clone consistency
- Condorcet-Smith principle
- Continuous rating
- Luce's choice model
- Majority principles
- One-Dimensional scaling
- Paired comparisons
- Preferential voting
- Zermelo's method of strengths