Seminars & Colloquia Calendar
Approximation Schemes for a Unit-Demand Buyer with Independent Items via Symmetries
Ariel Schvartzman (Princeton):
Location: Core 301
Date & time: Wednesday, 19 February 2020 at 11:00AM - 12:00PM
Abstract: We consider a revenue-maximizing seller with n items facing a single buyer. We introduce the notion of symmetric menu complexity of a mechanism, which counts the number of distinct options the buyer may purchase, up to permutations of the items. Our main result is that a mechanism of quasi-polynomial symmetric menu complexity suffices to guarantee a .99-approximation when the buyer is unit-demand over independent items, even when the value distribution is unbounded, and that this mechanism can be found in quasi-polynomial time.
Our key technical result is a polynomial-time, (symmetric) menu-complexity-preserving black-box reduction from achieving a .99-approximation for unbounded valuations that are subadditive over independent items to achieving a .99-approximation when the values are bounded (and still subadditive over independent items). We further apply this reduction to deduce approximation schemes for a suite of valuation classes beyond our main result.
Finally, we show that selling separately (which has exponential menu complexity) can be approximated up to a .99 factor with a menu of efficient-linear symmetric menu complexity.
Joint work with Pravesh Kothari (CMU), Divyarthi Mohan, Sahil Singla and S. Matthew Weinberg (Princeton).
Chiara Damiolini, Ian Coley and Franco Rota -Charles Weibel Organizer's Page
Wujun Zhang Organizer's webpage
Ziming Shi, Sagun Chanillo, Xiaojun Huang, Chi Li, Jian Song Seminar website Old seminar website
Swastik Kopparty, Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Brooke Ogrodnik, Website
Robert Dougherty-Bliss and Doron Zeilberger --> homepage
Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Jason Saied Seminar webpage
Brian Pinsky, Rashmika Goswami website
Quentin Dubroff Organizer's webpage
James Holland; Organizer website
Edna Jones Organizer's webpage
Brooke Ogrodnik website
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Haim Brezis Organizer's Webpage
Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website
Stephen D. Miller
Brooke Ogrodnik, Website
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Yael Davidov Seminar webpage
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
Ebru Toprak, Organizer
- Show events from all categories
Special Note to All Travelers
Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.
Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.