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We quantify the value of the monopoly's bargaining power in terms of competition complexity--that is, the number of additional bidders the monopoly must attract in simple auctions to match the expected revenue of the optimal mechanisms…

Computer Science and Game Theory · Computer Science 2025-06-12 Hedyeh Beyhaghi , Linda Cai , Yiding Feng , Yingkai Li , S. Matthew Weinberg

A seminal result of Bulow and Klemperer [1989] demonstrates the power of competition for extracting revenue: when selling a single item to $n$ bidders whose values are drawn i.i.d. from a regular distribution, the simple welfare-maximizing…

Computer Science and Game Theory · Computer Science 2016-12-30 Alon Eden , Michal Feldman , Ophir Friedler , Inbal Talgam-Cohen , S. Matthew Weinberg

The classic result of Bulow and Klemperer (1996) shows that in multi-unit auctions with $m$ units and $n\geq m$ buyers whose values are sampled i.i.d. from a regular distribution, the revenue of the VCG auction with $m$ additional buyers is…

Computer Science and Game Theory · Computer Science 2026-02-13 Moshe Babaioff , Yiding Feng , Zihan Luo

The competition complexity of an auction setting is the number of additional bidders needed such that the simple mechanism of selling items separately (with additional bidders) achieves greater revenue than the optimal but complex…

Computer Science and Game Theory · Computer Science 2024-03-07 Mahsa Derakhshan , Emily Ryu , S. Matthew Weinberg , Eric Xue

The Competition Complexity of an auction setting refers to the number of additional bidders necessary in order for the (deterministic, prior-independent, dominant strategy truthful) Vickrey-Clarke-Groves mechanism to achieve greater revenue…

Computer Science and Game Theory · Computer Science 2018-12-06 Hedyeh Beyhaghi , S. Matthew Weinberg

We study the design of truthful auctions for selling identical items in unlimited supply (e.g., digital goods) to n unit demand buyers. This classic problem stands out from profit-maximizing auction design literature as it requires no…

Computer Science and Game Theory · Computer Science 2014-01-07 Ning Chen , Nick Gravin , Pinyan Lu

A sequence of recent studies show that even in the simple setting of a single seller and a single buyer with additive, independent valuations over $m$ items, the revenue-maximizing mechanism is prohibitively complex. This problem has been…

Computer Science and Game Theory · Computer Science 2018-01-10 Michal Feldman , Ophir Friedler , Aviad Rubinstein

The enhanced competition paradigm is an attempt at bridging the gap between simple and optimal auctions. In this line of work, given an auction setting with $m$ items and $n$ bidders, the goal is to find the smallest $n' \geq n$ such that…

Computer Science and Game Theory · Computer Science 2021-05-19 Linda Cai , Raghuvansh R. Saxena

Generating good revenue is one of the most important problems in Bayesian auction design, and many (approximately) optimal dominant-strategy incentive compatible (DSIC) Bayesian mechanisms have been constructed for various auction settings.…

Computer Science and Game Theory · Computer Science 2020-08-07 Jing Chen , Bo Li , Yingkai Li , Pinyan Lu

Traditionally, the Bayesian optimal auction design problem has been considered either when the bidder values are i.i.d., or when each bidder is individually identifiable via her value distribution. The latter is a reasonable approach when…

Computer Science and Game Theory · Computer Science 2023-07-11 Nikhil R. Devanur , Zhiyi Huang , Christos-Alexandros Psomas

The design of revenue-maximizing combinatorial auctions, i.e. multi-item auctions over bundles of goods, is one of the most fundamental problems in computational economics, unsolved even for two bidders and two items for sale. In the…

Machine Learning · Computer Science 2016-06-15 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

In the design and analysis of revenue-maximizing auctions, auction performance is typically measured with respect to a prior distribution over inputs. The most obvious source for such a distribution is past data. The goal is to understand…

Computer Science and Game Theory · Computer Science 2015-11-30 Richard Cole , Tim Roughgarden

We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of $n$ additive bidders whose values for $m$ heterogeneous items are drawn…

Computer Science and Game Theory · Computer Science 2021-04-13 Yannai A. Gonczarowski , S. Matthew Weinberg

The first-price auction is popular in practice for its simplicity and transparency. Moreover, its potential virtues grow in complex settings where incentive compatible auctions may generate little or no revenue. Unfortunately, the…

Computer Science and Game Theory · Computer Science 2013-04-30 Darrell Hoy , Kamal Jain , Christopher A. Wilkens

We provide a characterization of revenue-optimal dynamic mechanisms in settings where a monopolist sells k items over k periods to a buyer who realizes his value for item i in the beginning of period i. We require that the mechanism…

Computer Science and Game Theory · Computer Science 2016-07-06 Itai Ashlagi , Constantinos Daskalakis , Nima Haghpanah

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

Computer Science and Game Theory · Computer Science 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

We are interested in the setting where a seller sells sequentially arriving items, one per period, via a dynamic auction. At the beginning of each period, each buyer draws a private valuation for the item to be sold in that period and this…

Computer Science and Game Theory · Computer Science 2018-12-10 Vahab Mirrokni , Renato Paes Leme , Pingzhong Tang , Song Zuo

We introduce the notion of rigidity in auction design and use it to analyze some fundamental aspects of mechanism design. We focus on single-item auctions where the values of the bidders are drawn from some (possibly correlated)…

Computer Science and Game Theory · Computer Science 2022-12-21 Shahar Dobzinski , Ariel Shaulker

A seller wants to sell a good to a set of bidders using a credible mechanism. We show that when the seller has private information about her cost, it is impossible for a static mechanism to achieve the optimal revenue. In particular, even…

Theoretical Economics · Economics 2025-09-29 Martino Banchio , Andrzej Skrzypacz , Frank Yang

Lately, the problem of designing multi-stage dynamic mechanisms has been shown to be both theoretically challenging and practically important. In this paper, we consider the problem of designing revenue optimal dynamic mechanism for a…

Computer Science and Game Theory · Computer Science 2016-07-07 Vahab Mirrokni , Renato Paes Leme , Pingzhong Tang , Song Zuo
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