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- W3206424382 abstract "We study housing markets as introduced by Shapley and Scarf (1974). 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 $mathsf{NP}$-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." @default.
- W3206424382 created "2021-10-25" @default.
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- W3206424382 date "2021-10-13" @default.
- W3206424382 modified "2023-09-23" @default.
- W3206424382 title "The core of housing markets from an agent's perspective: Is it worth sprucing up your home?" @default.
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