The superdominance relation, the positional winner, and more missing links between Borda and Condorcet
Bibliographic Data
| ID | 6297967 |
|---|---|
| Authors | Raúl Pérez-Fernández (0000-0001-6966-1681, Ghent University, corresponding author), Bernard De Baets (0000-0002-3876-620X, Ghent University) |
| Year | 2019 |
| Volume | 31 |
| Issue | 1 |
| Pages | 46-65 |
| Publication date | 2019-01-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Journal of Theoretical Politics (JOURNAL) |
| Journal identifiers | ISSN: 0951-6298 • E-ISSN: 1460-3667 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/0951629818809417 |
| OpenAlex | W2902719336 |
| Language | EN |
| Citations received | 2 |
| References cited | 31 |
The field of social choice dates back to the eighteenth century, when Borda and Condorcet started a never-ending discussion about the use of either positional or pairwise information. Three centuries later, after countless axiomatic characterizations of voting rules, impossibility theorems and many other study subjects, researchers still debate whether positional information is really sensitive to manipulation or pairwise information disregards the transitivity of voters’ preferences. In a previous paper, we introduced the notions of supercovering relation and pairwise winner, which resulted in a meeting point for both points of view of the theory of social choice. In this paper, we continue this direction and propose the notions of superdominance relation and positional winner that will prove to be the alter egos of the supercovering relation and the pairwise winner when positional information (rather than pairwise information) is considered. Moreover, we analyse a new interesting choice set: the unsuperdominated set
Arrow's impossibility theorem · Axiom · Combinatorics · Condorcet method · Data mining · Field (mathematics · Impossibility · Mathematical economics · Pairwise comparison · Political science · Preference · Preference relation · Relation (database · Set (abstract data type · Social choice theory · Statistics · Transitive relation · Voting · Computer Science · Decision-Making and Behavioral Economics · Game Theory and Voting Systems · Law · Logic, Reasoning, and Knowledge · Mathematics · Artificial Intelligence
The Strategy of Social Choice
A Possibility Theorem on Majority Decisions
Aggregation of Preferences with Variable Electorate
Sophisticated voting outcomes and agenda control
A Set of Independent Necessary and Sufficient Conditions for Simple Majority Decision
The Theory of Committees and Elections
The Condorcet efficiency of Borda Rule with anonymous voters
Condorcet's paradox and anonymous preference profiles
A note on condorcet sets
A New Solution Set for Tournaments and Majority Voting
Paradoxes of Voting
Condorcet's Theory of Voting
| Unique citing works | 2 |
|---|---|
| Citations per year | 0.5 |
| Citation span | 2022 - 2025 (4) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 2 |