论文标题
嫉妒的最多一项:我们可以添加或删除资源吗?
Envy-freeness up to one item: Shall we add or remove resources?
论文作者
论文摘要
我们考虑了一个公平的划分模型,其中代理商对不可分割的项目具有一般性估值。我们在此模型中提出了两个新的公理属性:EF1+ - 和EFX+ - 。我们将它们与现有的EF1和EFX进行比较。尽管EF1和EF1+ - 通常存在分配,但我们的结果雄辩地断言EFX+ - 并且在不存在EFX和PO分配的每种情况下都存在PO分配。此外,我们证明了几种新的不可能和不兼容的结果。
We consider a fair division model in which agents have general valuations for bundles of indivisible items. We propose two new axiomatic properties for allocations in this model: EF1+- and EFX+-. We compare these with the existing EF1 and EFX. Although EF1 and EF1+- allocations often exist, our results assert eloquently that EFX+- and PO allocations exist in each case where EFX and PO allocations do not exist. Additionally, we prove several new impossibility and incompatibility results.