Simultaneously Achieving Ex-ante and Ex-post Fairness

Simultaneously Achieving Ex-ante and Ex-post Fairness
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同时实现事前事后公平

DOI:
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发表时间:
2020
期刊:
Workshop on Internet and Network Economics
影响因子:
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通讯作者:
H. Aziz
H. Aziz
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作者:
H. Aziz

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我们提出了一个多项式时间的算法,计算一个事前的嫉妒免费彩票嫉妒免费一个项目(EF 1)确定性分配。与最近提出的算法相比,它具有以下优点:它不依赖于包括分离预言机在内的线性规划机器;它是SD有效的(事前和事后);事前结果相当于由著名的概率序列规则返回的结果。因此,我们回答了Freeman,Shah和Vaish(2020)提出的一个问题,即概率序列规则的结果是否可以通过事后EF 1分配来实现。在光的一对夫妇的不可能性的结果,我们证明,我们的算法可以被视为满足最大的一组属性。在二进制效用下,我们的算法也是事前群体策略的预防和事前帕累托最优的。最后,我们还表明,检查是否可以实现一个给定的随机分配的彩票EF 1和帕累托最优分配是NP-难的。
We present a polynomial-time algorithm that computes an ex-ante envy-free lottery over envy-free up to one item (EF1) deterministic allocations. It has the following advantages over a recently proposed algorithm: it does not rely on the linear programming machinery including separation oracles; it is SD-efficient (both ex-ante and ex-post); and the ex-ante outcome is equivalent to the outcome returned by the well-known probabilistic serial rule. As a result, we answer a question raised by Freeman, Shah, and Vaish (2020) whether the outcome of the probabilistic serial rule can be implemented by ex-post EF1 allocations. In the light of a couple of impossibility results that we prove, our algorithm can be viewed as satisfying a maximal set of properties. Under binary utilities, our algorithm is also ex-ante group-strategyproof and ex-ante Pareto optimal. Finally, we also show that checking whether a given random allocation can be implemented by a lottery over EF1 and Pareto optimal allocations is NP-hard.
二元估值的公平除法:一条规则来统治它们
DOI: --
发表时间: 2020
期刊: WINE
影响因子: --
作者:
Halpern, Daniel;Shah, Nisarg;Psomas, Alexandros;Procaccia, Ariel D.
通讯作者: Procaccia, Ariel D.
不可分割物品分配的群体公平性
DOI: 10.1609/aaai.v33i01.33011853
发表时间: 2019
期刊: Proceedings of the AAAI Conference on Artificial Intelligence
影响因子: --
作者:
Conitzer, Vincent;Freeman, Rupert;Shah, Nisarg;Vaughan, Jennifer Wortman
通讯作者: Vaughan, Jennifer Wortman