On the set of many-to-one strongly stable fractional matchings
| Autor: | Jorge Oviedo, Pablo Neme |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Convex hull
Matching (statistics) Matching market Sociology and Political Science 05 social sciences General Social Sciences Characterization (mathematics) Set (abstract data type) Combinatorics Lottery 0502 economics and business Many to one 050206 economic theory Statistics Probability and Uncertainty General Psychology 050205 econometrics Mathematics |
| Zdroj: | Mathematical Social Sciences. 110:1-13 |
| ISSN: | 0165-4896 |
| Popis: | For a many-to-one matching market where firms have strict and q -responsive preferences, we give a characterization of the set of strongly stable fractional matchings as the union of the convex hull of all connected sets of stable matchings. We also prove that a strongly stable fractional matching is represented by a lottery of stable matchings that are ordered in the common preferences of all firms. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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