Rational stability of choice functions Article Swipe
Josep E. Peris
,
Begoña Subiza
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1111/ijet.12369
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1111/ijet.12369
Two independent approaches have been used to analyze choices. A prominent notion is rationalizability: individuals choose maximizing binary relations. An alternative is to analyze choices in terms of standards of behavior with the notion of von Neumann–Morgenstern (vNM)‐stability. We introduce a new concept (stability) that in turn extends the notion of stability and rationality. Our main result establishes that every rationalizable choice function is stable and every vNM‐stable choice has an stable selection. An appealing property of stability is that well‐known solution concepts (top cycle, uncovered set, …) are stable, while they are neither rationalizable nor vNM‐stable.
Related Topics
Concepts
Rationalizability
Mathematical economics
Stability (learning theory)
Rationality
Von Neumann architecture
Property (philosophy)
Mathematics
Function (biology)
Set (abstract data type)
Economics
Computer science
Pure mathematics
Nash equilibrium
Biology
Epistemology
Law
Philosophy
Machine learning
Evolutionary biology
Programming language
Political science
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1111/ijet.12369
- https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/ijet.12369
- OA Status
- bronze
- References
- 22
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4316464778
All OpenAlex metadata
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https://openalex.org/W4316464778Canonical identifier for this work in OpenAlex
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https://doi.org/10.1111/ijet.12369Digital Object Identifier
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Rational stability of choice functionsWork title
- Type
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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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2023-01-16Full publication date if available
- Authors
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Josep E. Peris, Begoña SubizaList of authors in order
- Landing page
-
https://doi.org/10.1111/ijet.12369Publisher landing page
- PDF URL
-
https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/ijet.12369Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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bronzeOpen access status per OpenAlex
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/ijet.12369Direct OA link when available
- Concepts
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Rationalizability, Mathematical economics, Stability (learning theory), Rationality, Von Neumann architecture, Property (philosophy), Mathematics, Function (biology), Set (abstract data type), Economics, Computer science, Pure mathematics, Nash equilibrium, Biology, Epistemology, Law, Philosophy, Machine learning, Evolutionary biology, Programming language, Political scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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22Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.have | 4 |
| abstract_inverted_index.main | 56 |
| abstract_inverted_index.set, | 87 |
| abstract_inverted_index.that | 45, 59, 80 |
| abstract_inverted_index.they | 92 |
| abstract_inverted_index.turn | 47 |
| abstract_inverted_index.used | 6 |
| abstract_inverted_index.with | 32 |
| abstract_inverted_index.…) | 88 |
| abstract_inverted_index.every | 60, 67 |
| abstract_inverted_index.terms | 27 |
| abstract_inverted_index.while | 91 |
| abstract_inverted_index.binary | 18 |
| abstract_inverted_index.choice | 62, 69 |
| abstract_inverted_index.choose | 16 |
| abstract_inverted_index.cycle, | 85 |
| abstract_inverted_index.notion | 12, 34, 50 |
| abstract_inverted_index.result | 57 |
| abstract_inverted_index.stable | 65, 72 |
| abstract_inverted_index.analyze | 8, 24 |
| abstract_inverted_index.choices | 25 |
| abstract_inverted_index.concept | 43 |
| abstract_inverted_index.extends | 48 |
| abstract_inverted_index.neither | 94 |
| abstract_inverted_index.stable, | 90 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.behavior | 31 |
| abstract_inverted_index.choices. | 9 |
| abstract_inverted_index.concepts | 83 |
| abstract_inverted_index.function | 63 |
| abstract_inverted_index.property | 76 |
| abstract_inverted_index.solution | 82 |
| abstract_inverted_index.appealing | 75 |
| abstract_inverted_index.introduce | 40 |
| abstract_inverted_index.prominent | 11 |
| abstract_inverted_index.stability | 52, 78 |
| abstract_inverted_index.standards | 29 |
| abstract_inverted_index.uncovered | 86 |
| abstract_inverted_index.approaches | 3 |
| abstract_inverted_index.maximizing | 17 |
| abstract_inverted_index.relations. | 19 |
| abstract_inverted_index.selection. | 73 |
| abstract_inverted_index.(stability) | 44 |
| abstract_inverted_index.alternative | 21 |
| abstract_inverted_index.establishes | 58 |
| abstract_inverted_index.independent | 2 |
| abstract_inverted_index.individuals | 15 |
| abstract_inverted_index.rationality. | 54 |
| abstract_inverted_index.vNM‐stable | 68 |
| abstract_inverted_index.well‐known | 81 |
| abstract_inverted_index.vNM‐stable. | 97 |
| abstract_inverted_index.rationalizable | 61, 95 |
| abstract_inverted_index.(vNM)‐stability. | 38 |
| abstract_inverted_index.rationalizability: | 14 |
| abstract_inverted_index.Neumann–Morgenstern | 37 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5064786200 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I130194489 |
| citation_normalized_percentile.value | 0.00835609 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |