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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 6: AAAI-21 Technical Tracks 6

Fair and Truthful Mechanisms for Dichotomous Valuations

February 1, 2023

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Authors

Moshe Babaioff

Microsoft Research


Tomer Ezra

Tel Aviv University


Uriel Feige

Weizmann Institute


DOI:

10.1609/aaai.v35i6.16647


Abstract:

We consider the problem of allocating a set on indivisible items to players with private preferences in an efficient and fair way. We focus on valuations that have dichotomous marginals, in which the added value of any item to a set is either 0 or 1, and aim to design truthful allocation mechanisms (without money) that maximize welfare and are fair. For the case that players have submodular valuations with dichotomous marginals, we design such a deterministic truthful allocation mechanism. The allocation output by our mechanism is Lorenz dominating, and consequently satisfies many desired fairness properties, such as being envy-free up to any item (EFX), and maximizing the Nash Social Welfare (NSW). We then show that our mechanism with random priorities is envy-free ex-ante, while having all the above properties ex-post. Furthermore, we present several impossibility results precluding similar results for the larger class of XOS valuations.

Topics: AAAI

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HOW TO CITE:

Moshe Babaioff||Tomer Ezra||Uriel Feige Fair and Truthful Mechanisms for Dichotomous Valuations Proceedings of the AAAI Conference on Artificial Intelligence (2021) 5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige Fair and Truthful Mechanisms for Dichotomous Valuations AAAI 2021, 5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige (2021). Fair and Truthful Mechanisms for Dichotomous Valuations. Proceedings of the AAAI Conference on Artificial Intelligence, 5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige. Fair and Truthful Mechanisms for Dichotomous Valuations. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige. 2021. Fair and Truthful Mechanisms for Dichotomous Valuations. "Proceedings of the AAAI Conference on Artificial Intelligence". 5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige. (2021) "Fair and Truthful Mechanisms for Dichotomous Valuations", Proceedings of the AAAI Conference on Artificial Intelligence, p.5119-5126

Moshe Babaioff||Tomer Ezra||Uriel Feige, "Fair and Truthful Mechanisms for Dichotomous Valuations", AAAI, p.5119-5126, 2021.

Moshe Babaioff||Tomer Ezra||Uriel Feige. "Fair and Truthful Mechanisms for Dichotomous Valuations". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige. "Fair and Truthful Mechanisms for Dichotomous Valuations". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 5119-5126.

Moshe Babaioff||Tomer Ezra||Uriel Feige. Fair and Truthful Mechanisms for Dichotomous Valuations. AAAI[Internet]. 2021[cited 2023]; 5119-5126.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
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