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The Core of Housing Markets from an Agent’s Perspective – Publication by Péter Biró

2022-10-10 16:25:01

The publication co-authored by Péter Biró was published in the Lecture Notes in Computer Science.

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Corvinus Épület

Abstract: 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.

Dr. Biró Péter peter.biro@uni-corvinus.hu Rektori Szervezet / Operáció és Döntés Intézet / Operációkutatás és Aktuáriustudományok Tanszék
Egyetemi Docens / Associate Professor
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GEN.:2024.06.22. - 00:20:26