Best of Both Worlds: Agents with Entitlements
Best of Both Worlds: Agents with Entitlements
复制标题
两全其美:拥有权利的代理
DOI:
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发表时间:
2022
期刊:
影响因子:
--
通讯作者:
Giovanna Varricchio
中科院分区:
文献类型:
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作者:
M. Hoefer;M. Schmalhofer;Giovanna Varricchio
Fair division of indivisible goods is a central challenge in artificial intelligence. For many prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no allocations satisfying these criteria might exist. Two popular remedies to this problem are randomization or relaxation of fairness concepts. A timely research direction is to combine the advantages of both, commonly referred to as Best of Both Worlds (BoBW).
We consider fair division with entitlements, which allows to adjust notions of fairness to heterogeneous priorities among agents. This is an important generalization to standard fair division models and is not well-understood in terms of BoBW results. Our main result is a lottery for additive valuations and different entitlements that is ex-ante weighted envy-free (WEF), as well as ex-post weighted proportional up to one good (WPROP1) and weighted transfer envy-free up to one good (WEF(1, 1)). We show that this result is tight – ex-ante WEF is incompatible with any stronger ex-post WEF relaxation.
In addition, we extend BoBW results on group fairness to entitlements and explore generalizations of our results to instances with more expressive valuation functions.
DOI:
10.1137/1.9781611975994.163
发表时间:
2020
期刊:
Proceedings of the Annual ACMSIAM Symposium on Discrete Algorithms
影响因子:
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作者:
Garg, Jugal;Kulkarni, Pooja;Kulkarni, Rucha
通讯作者:
Kulkarni, Rucha
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:
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作者:
Conitzer, Vincent;Freeman, Rupert;Shah, Nisarg;Vaughan, Jennifer Wortman
通讯作者:
Vaughan, Jennifer Wortman
影响因子:
0.8
作者:
Wolfgang Mulzer;Yannik Stein
通讯作者:
Yannik Stein