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Homogeneity and monotonicity of distance-rationalizable voting rules (2010).
| Content Provider | CiteSeerX |
|---|---|
| Author | Elkind, Edith Faliszewski, Piotr Slinko, Arkadii |
| Abstract | Distance rationalizability is a framework for classifying voting rules by interpreting them in terms of distances and consensus classes. It also allows to design new voting rules with desired properties. A particularly natural and versatile class of distances that can be used for this purpose is that of votewise distances [12], which “lift ” distances over individual votes to distances over entire elections using a suitable norm. In this paper, we continue the investigation of the properties of votewise distance-rationalizable rules initiated in [12]. We describe a number of general conditions on distances and consensus classes that ensure that the resulting voting rule is homogeneous or monotone. This complements the results of [12], where the authors focus on anonymity, neutrality and consistency. We also introduce a new class of voting rules, that can be viewed as “majority variants ” of classic scoring rules, and have a natural interpretation in the context of distance rationalizability. 1 |
| File Format | |
| Publisher Date | 2010-01-01 |
| Access Restriction | Open |
| Subject Keyword | Distance-rationalizable Voting Rule Voting Rule Distance Rationalizability Consensus Class Suitable Norm New Class New Voting Rule General Condition Votewise Distance-rationalizable Rule Desired Property Individual Vote Majority Variant Versatile Class Entire Election Votewise Distance Natural Interpretation Classic Scoring Rule |
| Content Type | Text |
