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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 28 / No. 1: Twenty-Eighth AAAI Conference On Artificial Intelligence

The Computational Rise and Fall of Fairness

March 8, 2023

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Authors

John Dickerson

Carnegie Mellon University


Jonathan Goldman

Carnegie Mellon University


Jeremy Karp

Carnegie Mellon University


Ariel Procaccia

Carnegie Mellon University


Tuomas Sandholm

Carnegie Mellon University


DOI:

10.1609/aaai.v28i1.8884


Abstract:

The fair division of indivisible goods has long been an important topic in economics and, more recently, computer science. We investigate the existence of envy-free allocations of indivisible goods, that is, allocations where each player values her own allocated set of goods at least as highly as any other player's allocated set of goods. Under additive valuations, we show that even when the number of goods is larger than the number of agents by a linear fraction, envy-free allocations are unlikely to exist. We then show that when the number of goods is larger by a logarithmic factor, such allocations exist with high probability. We support these results experimentally and show that the asymptotic behavior of the theory holds even when the number of goods and agents is quite small. We demonstrate that there is a sharp phase transition from nonexistence to existence of envy-free allocations, and that on average the computational problem is hardest at that transition.

Topics: AAAI

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HOW TO CITE:

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm The Computational Rise and Fall of Fairness Proceedings of the AAAI Conference on Artificial Intelligence, 28 (2014) .

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm The Computational Rise and Fall of Fairness AAAI 2014, .

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm (2014). The Computational Rise and Fall of Fairness. Proceedings of the AAAI Conference on Artificial Intelligence, 28, .

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. The Computational Rise and Fall of Fairness. Proceedings of the AAAI Conference on Artificial Intelligence, 28 2014 p..

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. 2014. The Computational Rise and Fall of Fairness. "Proceedings of the AAAI Conference on Artificial Intelligence, 28". .

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. (2014) "The Computational Rise and Fall of Fairness", Proceedings of the AAAI Conference on Artificial Intelligence, 28, p.

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm, "The Computational Rise and Fall of Fairness", AAAI, p., 2014.

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. "The Computational Rise and Fall of Fairness". Proceedings of the AAAI Conference on Artificial Intelligence, 28, 2014, p..

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. "The Computational Rise and Fall of Fairness". Proceedings of the AAAI Conference on Artificial Intelligence, 28, (2014): .

John Dickerson|| Jonathan Goldman|| Jeremy Karp|| Ariel Procaccia|| Tuomas Sandholm. The Computational Rise and Fall of Fairness. AAAI[Internet]. 2014[cited 2023]; .


ISSN: 2374-3468


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