Peeking Behind the Ordinal Curtain: Improving Distortion via Cardinal Queries
Peeking Behind the Ordinal Curtain: Improving Distortion via Cardinal Queries
复制标题
窥视序数幕后:通过基数查询改善失真
DOI:
10.1609/aaai.v34i02.5544
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发表时间:
2019
期刊:
影响因子:
--
通讯作者:
Alexandros A. Voudouris
中科院分区:
文献类型:
--
作者:
Georgios Amanatidis;Georgios Birmpas;Aris Filos;Alexandros A. Voudouris
The notion of distortion was introduced by Procaccia and Rosenschein (2006) to quantify the inefficiency of using only ordinal information when trying to maximize the social welfare. Since then, this research area has flourished and bounds on the distortion have been obtained for a wide variety of fundamental scenarios. However, the vast majority of the existing literature is focused on the case where nothing is known beyond the ordinal preferences of the agents over the alternatives. In this paper, we take a more expressive approach, and consider mechanisms that are allowed to further ask a few cardinal queries in order to gain partial access to the underlying values that the agents have for the alternatives. With this extra power, we design new deterministic mechanisms that achieve significantly improved distortion bounds and outperform the best-known randomized ordinal mechanisms. We draw an almost complete picture of the number of queries required to achieve specific distortion bounds.
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DOI:
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发表时间:
2019
期刊:
AAAI Conference 2019
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