Incentives in social decision schemes with pairwise comparison preferences Article Swipe
Felix Brandt
,
Patrick Lederer
,
Warut Suksompong
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1016/j.geb.2023.08.009
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1016/j.geb.2023.08.009
Social decision schemes (SDSs) map the ordinal preferences of voters over multiple alternatives to a probability distribution over the alternatives. To study the axiomatic properties of SDSs, we lift preferences over alternatives to preferences over lotteries using the natural—but little understood—pairwise comparison (PC) preference extension. This extension postulates that one lottery is preferred to another if the former is more likely to return a preferred outcome. We settle three open questions raised by Brandt (2017) and show that (i) no Condorcet-consistent SDS satisfies PC-strategyproofness; (ii) no anonymous and neutral SDS satisfies both PC-efficiency and PC-strategyproofness; and (iii) no anonymous and neutral SDS satisfies both PC-efficiency and strict PC-participation. We furthermore settle an open problem raised by Aziz et al. (2015) by showing that no path of PC-improvements originating from an inefficient lottery may lead to a PC-efficient lottery.
Related Topics
Concepts
Lottery
Pairwise comparison
Social choice theory
Condorcet method
Extension (predicate logic)
Mathematical economics
Outcome (game theory)
Social preferences
Axiom
Preference
Voting
Lift (data mining)
Mathematics
Economics
Microeconomics
Combinatorics
Computer science
Statistics
Machine learning
Political science
Programming language
Law
Politics
Geometry
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.geb.2023.08.009
- OA Status
- hybrid
- Cited By
- 3
- References
- 39
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4385989047
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https://openalex.org/W4385989047Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.geb.2023.08.009Digital Object Identifier
- Title
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Incentives in social decision schemes with pairwise comparison preferencesWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-08-18Full publication date if available
- Authors
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Felix Brandt, Patrick Lederer, Warut SuksompongList of authors in order
- Landing page
-
https://doi.org/10.1016/j.geb.2023.08.009Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1016/j.geb.2023.08.009Direct OA link when available
- Concepts
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Lottery, Pairwise comparison, Social choice theory, Condorcet method, Extension (predicate logic), Mathematical economics, Outcome (game theory), Social preferences, Axiom, Preference, Voting, Lift (data mining), Mathematics, Economics, Microeconomics, Combinatorics, Computer science, Statistics, Machine learning, Political science, Programming language, Law, Politics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 2Per-year citation counts (last 5 years)
- References (count)
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39Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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