{"id":330944,"date":"2016-12-02T12:44:15","date_gmt":"2016-12-02T20:44:15","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=330944"},"modified":"2018-10-16T22:09:24","modified_gmt":"2018-10-17T05:09:24","slug":"lower-bounds-revenue-approximately-optimal-auctions","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/lower-bounds-revenue-approximately-optimal-auctions\/","title":{"rendered":"Lower Bounds on Revenue of Approximately Optimal Auctions"},"content":{"rendered":"<p>We obtain revenue guarantees for the simple pricing mechanism of a single posted price, in terms of a natural parameter of the distribution of buyers\u2019 valuations. Our revenue guarantee applies to the single item n buyers setting, with values drawn from an arbitrary joint distribution. Specifically, we show that a single price drawn from the distribution of the maximum valuation Vmax = max{V1, V2, . . . , Vn} achieves a revenue of at least a 1 e fraction of the geometric expecation of Vmax. This generic bound is a measure of how revenue improves\/degrades as a function of the concentration\/spread of Vmax. We further show that in absence of buyers\u2019 valuation distributions, recruiting an additional set of identical bidders will yield a similar guarantee on revenue. Finally, our bound also gives a measure of the extent to which one can simultaneously approximate welfare and revenue in terms of the concentration\/spread of Vmax.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We obtain revenue guarantees for the simple pricing mechanism of a single posted price, in terms of a natural parameter of the distribution of buyers\u2019 valuations. Our revenue guarantee applies to the single item n buyers setting, with values drawn from an arbitrary joint distribution. Specifically, we show that a single price drawn from the [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Springer Berlin Heidelberg","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"8th International Workshop, WINE","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"526-531","msr_page_range_start":"526","msr_page_range_end":"531","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"8th International Workshop, 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