4 papers · 1 filter
Rectified strong core in Shapley-Scarf housing markets with indifferences
Jun Zhang
We study core concepts in the Shapley-Scarf housing market model under unrestricted weak preferences. Among standard concepts, the strong core may be empty while the nonempty weak…
Consistency and the exclusion core under co-ownership
Jun Zhang
In discrete allocation with co-ownership, the exclusion core of Balbuzanov and Kotowski (2019) grants owners exclusion rights and secures nonemptiness by keeping unaffected agents…
The core in the housing market model with fractional endowments
Jingsheng Yu, Jun Zhang
We explore the core concept in a generalization of the housing market model where agents own fractional endowments while maintaining ordinal preferences. Recognizing that individua…
Tournaments with a Standard
Mikhail Drugov, Dmitry Ryvkin, Jun Zhang
We study tournaments where winning a rank-dependent prize requires passing a minimum performance standard. We show that, for any prize allocation, the optimal standard is always at…