The core of roommate problems: size and rank-fairness within matched pairs
This paper deals with roommate problems (Gale and Shapley, Am Math Mon 69(1):9–15, 1962) that are solvable, i.e., have a non-empty core (set of stable matchings). We study rank-fairness within pairs of stable matchings and the size of the core by means of maximal and average rank gaps. We provide up...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad del Rosario
- Repositorio:
- Repositorio EdocUR - U. Rosario
- Idioma:
- eng
- OAI Identifier:
- oai:repository.urosario.edu.co:10336/24358
- Acceso en línea:
- https://doi.org/10.1007/s00182-018-0651-9
https://repository.urosario.edu.co/handle/10336/24358
- Palabra clave:
- Bound
Core
Matching
Rank gap
Rank-fairness
Roommate problem
Stability
- Rights
- License
- Abierto (Texto Completo)
| Summary: | This paper deals with roommate problems (Gale and Shapley, Am Math Mon 69(1):9–15, 1962) that are solvable, i.e., have a non-empty core (set of stable matchings). We study rank-fairness within pairs of stable matchings and the size of the core by means of maximal and average rank gaps. We provide upper bounds in terms of maximal and average disagreements in the agents’ rankings. Finally, we show that most of our bounds are tight. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. |
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