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Preprint Sep 2026

Mechanism Design for Bridge Location with Optional Preferences

We study the bridge location problem with optional preferences, where two separated regions each contain one prelocated facility. Each agent has a private location and a private preference specifying a nonempty subset of the two facilities in which she is interested. Her individual cost is measured by one of three natu...

Xiao-Shuang Geng, Wen-Jing Liu, G. Qin et al. · 0 citations
Preprint Aug 2026

Fairness--Stability Trade-offs in Many-to-One Matching

We study the trade-off between firm-side fairness and coalition stability in many-to-one matching markets with transferable payments. For a fixed matching $X$, we characterize the largest supportable core factor by a bottleneck financing problem: $\alpha(X)=1/\Phi(X)$, where $\Phi(X)=\min_{z\ge0}\max_i R_i(X,z)$. This...

G. Qin · 0 citations

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