The Core of Housing Markets from an Agent’s Perspective

Schlotter, Ildikó; Biró, Péter [Biró, Péter (Játékelmélet), szerző] Operációkutatás és Aktuáriustudományok Tanszék (BCE / MSMI); Fleiner, Tamás

Angol nyelvű Szakcikk (Folyóiratcikk) Tudományos
Megjelent: LECTURE NOTES IN COMPUTER SCIENCE 0302-9743 1611-3349 13112 pp. 244-261 Paper: Chapter 14 2022
  • SJR Scopus - Computer Science (miscellaneous): Q3
We study housing markets as introduced by Shapley and Scarf [39]. We investigate the computational complexity of various questions regarding the situation of an agent a in a housing market H: we show that it is NP-hard to find an allocation in the core of H where (i) a receives a certain house, (ii) a does not receive a certain house, or (iii) a receives a house other than her own. We prove that the core of housing markets respects improvement in the following sense: given an allocation in the core of H where agent a receives a house h, if the value of the house owned by a increases, then the resulting housing market admits an allocation where a receives either h, or a house that she prefers to h; moreover, such an allocation can be found efficiently. We further show an analogous result in the Stable Roommates setting by proving that stable matchings in a one-sided market also respect improvement.
Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
2022-06-28 10:18