Academic Journal
Simple manipulations of Walrasian equilibrium rules in assignment problems.
| Τίτλος: | Simple manipulations of Walrasian equilibrium rules in assignment problems. |
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| Συγγραφείς: | Núñez, Marina1 (AUTHOR) mnunez@ub.edu, Robles, Francisco1 (AUTHOR) frobles@ub.edu, Robles, Laura2 (AUTHOR) lroblesjimenez@alixpartners.com |
| Πηγή: | Social Choice & Welfare. Sep2026, Vol. 67 Issue 2, p365-393. 29p. |
| Θεματικοί όροι: | *Market equilibrium, *Resource allocation, Assignment problems (Programming) |
| Περίληψη: | This paper investigates (non-)manipulability properties of Walrasian equilibrium rules in object allocation problems with non-quasi-linear preferences. We focus on assignment problems with indivisible and different objects where each agent is interested in acquiring at most one object. We propose simplified forms of manipulation such as reporting a monotonic transformation of preferences or pretending to be single-minded. We show that the minimum Walrasian equilibrium rule is the unique rule that, among all Walrasian equilibrium rules, is non-manipulable via monotonic transformations at the outside option. Analogously, we also show that the minimum Walrasian equilibrium rule is also the unique Walrasian equilibrium rule that is non-manipulable by pretending to be single-minded. Finally, on the domain of quasi-linear preferences, we introduce a novel axiom: welfare parity for uncontested objects. Under this axiom, when a new object, valued positively by only one agent, enters the market, that agent receives all the resulting welfare gain. We prove that, within this domain, the axiom characterizes the minimum Walrasian equilibrium rule among all Walrasian equilibrium rules. [ABSTRACT FROM AUTHOR] |
| Copyright of Social Choice & Welfare is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Business Source Index |
| FullText | Links: – Type: other Text: Availability: 0 CustomLinks: – Url: https://dx.doi.org/doi:10.1007/s00355-025-01645-3 Name: EDS - Springer Nature Journals (s7799221) Category: fullText Text: View record at Springer |
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| Items | – Name: Title Label: Title Group: Ti Data: Simple manipulations of Walrasian equilibrium rules in assignment problems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Núñez%2C+Marina%22">Núñez, Marina</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mnunez@ub.edu</i><br /><searchLink fieldCode="AR" term="%22Robles%2C+Francisco%22">Robles, Francisco</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> frobles@ub.edu</i><br /><searchLink fieldCode="AR" term="%22Robles%2C+Laura%22">Robles, Laura</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> lroblesjimenez@alixpartners.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Social+Choice+%26+Welfare%22">Social Choice & Welfare</searchLink>. Sep2026, Vol. 67 Issue 2, p365-393. 29p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Market+equilibrium%22">Market equilibrium</searchLink><br />*<searchLink fieldCode="DE" term="%22Resource+allocation%22">Resource allocation</searchLink><br /><searchLink fieldCode="DE" term="%22Assignment+problems+%28Programming%29%22">Assignment problems (Programming)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper investigates (non-)manipulability properties of Walrasian equilibrium rules in object allocation problems with non-quasi-linear preferences. We focus on assignment problems with indivisible and different objects where each agent is interested in acquiring at most one object. We propose simplified forms of manipulation such as reporting a monotonic transformation of preferences or pretending to be single-minded. We show that the minimum Walrasian equilibrium rule is the unique rule that, among all Walrasian equilibrium rules, is non-manipulable via monotonic transformations at the outside option. Analogously, we also show that the minimum Walrasian equilibrium rule is also the unique Walrasian equilibrium rule that is non-manipulable by pretending to be single-minded. Finally, on the domain of quasi-linear preferences, we introduce a novel axiom: welfare parity for uncontested objects. Under this axiom, when a new object, valued positively by only one agent, enters the market, that agent receives all the resulting welfare gain. We prove that, within this domain, the axiom characterizes the minimum Walrasian equilibrium rule among all Walrasian equilibrium rules. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Social Choice & Welfare is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00355-025-01645-3 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 365 Subjects: – SubjectFull: Market equilibrium Type: general – SubjectFull: Resource allocation Type: general – SubjectFull: Assignment problems (Programming) Type: general Titles: – TitleFull: Simple manipulations of Walrasian equilibrium rules in assignment problems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Núñez, Marina – PersonEntity: Name: NameFull: Robles, Francisco – PersonEntity: Name: NameFull: Robles, Laura IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 01761714 Numbering: – Type: volume Value: 67 – Type: issue Value: 2 Titles: – TitleFull: Social Choice & Welfare Type: main |
| ResultId | 1 |