We study the slot allocation problem where agents have quasi-linear single-peaked preferences over slots and identify the rules satisfying efficiency, strategy-proofness, and individual rationality. Since the quasi-linear single-peaked domain is not connected, the famous characterization of the Vickrey rule in terms of Holmström (1979)'s three properties cannot be applied. However, we are able to establish that on the quasi-linear single-peaked domain, the Vickrey rule is still the only rule satisfying efficiency, strategy-proofness, and individual rationality.

中文翻译：

---

时隙分配问题中 Vickrey 规则的表征

我们研究了代理对插槽具有准线性单峰偏好的插槽分配问题，并确定了满足效率、策略证明和个人理性的规则。由于准线性单峰域未连接，因此无法应用根据 Holmström (1979) 的三个属性对 Vickrey 规则的著名表征。但是，我们能够确定，在准线性单峰域上，Vickrey 规则仍然是唯一满足效率、策略证明性和个体理性的规则。