Characterizations of Sequential Valuation Rules Article Swipe
YOU?
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· 2023
· Open Access
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· DOI: https://doi.org/10.48550/arxiv.2302.11890
Approval-based committee (ABC) voting rules elect a fixed size subset of the candidates, a so-called committee, based on the voters' approval ballots over the candidates. While these rules have recently attracted significant attention, axiomatic characterizations are largely missing so far. We address this problem by characterizing ABC voting rules within the broad and intuitive class of sequential valuation rules. These rules compute the winning committees by sequentially adding candidates that increase the score of the chosen committee the most. In more detail, we first characterize almost the full class of sequential valuation rules based on mild standard conditions and a new axiom called consistent committee monotonicity. This axiom postulates that the winning committees of size k can be derived from those of size k-1 by only adding candidates and that these new candidates are chosen consistently. By requiring additional conditions, we derive from this result also a characterization of the prominent class of sequential Thiele rules. Finally, we refine our results to characterize three well-known ABC voting rules, namely sequential approval voting, sequential proportional approval voting, and sequential Chamberlin-Courant approval voting.
Related Topics
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2302.11890
- https://arxiv.org/pdf/2302.11890
- OA Status
- green
- Cited By
- 3
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4321854413
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4321854413Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2302.11890Digital Object Identifier
- Title
-
Characterizations of Sequential Valuation RulesWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-02-23Full publication date if available
- Authors
-
Chris Dong, Patrick LedererList of authors in order
- Landing page
-
https://arxiv.org/abs/2302.11890Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2302.11890Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2302.11890Direct OA link when available
- Concepts
-
Voting, Axiom, Valuation (finance), Mathematical economics, Computer science, Class (philosophy), Approval voting, Monotonic function, Anti-plurality voting, Majority rule, Cardinal voting systems, Mathematics, Artificial intelligence, Economics, Law, Political science, Accounting, Politics, Mathematical analysis, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
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2024: 3Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.sequential | 56, 90, 153, 169, 172, 177 |
| abstract_inverted_index.well-known | 164 |
| abstract_inverted_index.candidates, | 12 |
| abstract_inverted_index.candidates. | 24 |
| abstract_inverted_index.conditions, | 139 |
| abstract_inverted_index.significant | 31 |
| abstract_inverted_index.characterize | 84, 162 |
| abstract_inverted_index.proportional | 173 |
| abstract_inverted_index.sequentially | 66 |
| abstract_inverted_index.consistently. | 135 |
| abstract_inverted_index.monotonicity. | 105 |
| abstract_inverted_index.Approval-based | 0 |
| abstract_inverted_index.characterizing | 45 |
| abstract_inverted_index.characterization | 147 |
| abstract_inverted_index.characterizations | 34 |
| abstract_inverted_index.Chamberlin-Courant | 178 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/16 |
| sustainable_development_goals[0].score | 0.6200000047683716 |
| sustainable_development_goals[0].display_name | Peace, Justice and strong institutions |
| citation_normalized_percentile |