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We consider the problem of designing revenue-optimal auctions for selling two items and bidders' valuations are independent among bidders but negatively correlated among items. In this paper, we obtain the closed-form optimal auction for…

Computer Science and Game Theory · Computer Science 2016-06-03 Pingzhong Tang , Zihe Wang

The auction of a single indivisible item is one of the most celebrated problems in mechanism design with transfers. Despite its simplicity, it provides arguably the cleanest and most insightful results in the literature. When the…

Computer Science and Game Theory · Computer Science 2023-07-04 Rangeet Bhattacharyya , Parvik Dave , Palash Dey , Swaprava Nath

A seller wants to sell an item to $n$ buyers. Buyer valuations are drawn i.i.d. from a distribution unknown to the seller; the seller only knows that the support is included in $[a, b]$. To be robust, the seller chooses a DSIC mechanism…

Theoretical Economics · Economics 2025-01-03 Jerry Anunrojwong , Santiago R. Balseiro , Omar Besbes

Consider Myerson's optimal auction with respect to an inaccurate prior, e.g., estimated from data, which is an underestimation of the true value distribution. Can the auctioneer expect getting at least the optimal revenue w.r.t. the…

Computer Science and Game Theory · Computer Science 2022-11-10 Ziyun Chen , Zhiyi Huang , Dorsa Majdi , Zipeng Yan

We study a game between autobidding algorithms that compete in an online advertising platform. Each autobidder is tasked with maximizing its advertiser's total value over multiple rounds of a repeated auction, subject to budget and…

Computer Science and Game Theory · Computer Science 2024-12-03 Brendan Lucier , Sarath Pattathil , Aleksandrs Slivkins , Mengxiao Zhang

We study how a budget-constrained bidder should learn to adaptively bid in repeated first-price auctions to maximize her cumulative payoff. This problem arose due to an industry-wide shift from second-price auctions to first-price auctions…

Computer Science and Game Theory · Computer Science 2026-04-14 Yige Wang , Jiashuo Jiang

The proliferation of the Internet has led to the emergence of online advertising, driven by the mechanics of online auctions. In these repeated auctions, software agents participate on behalf of aggregated advertisers to optimize for their…

Machine Learning · Computer Science 2023-06-13 Haozhe Wang , Chao Du , Panyan Fang , Li He , Liang Wang , Bo Zheng

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

We consider auction environments in which at the time of the auction bidders observe signals about their ex-post value. We introduce a model of novice bidders who do not know know the joint distribution of signals and instead build a…

Theoretical Economics · Economics 2021-07-02 Philippe Jehiel , Konrad Mierendorff

In practice, auction data are often endogenously censored and anonymous, revealing only limited outcome statistics rather than full bid profiles. We study robust auction design when the seller observes only aggregated, anonymous order…

Theoretical Economics · Economics 2026-02-26 Zhihao Gavin Tang , Shixin Wang

In online advertising markets, budget-constrained advertisers acquire ad placements through repeated bidding in auctions on various platforms. We present a strategy for bidding optimally in a set of auctions that may or may not be…

Computer Science and Game Theory · Computer Science 2023-06-14 Fransisca Susan , Negin Golrezaei , Okke Schrijvers

In this paper, we study the problem of learning to bid in repeated first-price auctions with budget constraints. In each period, the decision maker needs to submit a bid to win the auction and maximize the total collected reward, subject to…

Optimization and Control · Mathematics 2026-03-10 Zeng Fu , Jiashuo Jiang , Yuan Zhou

The transition to auto-bidding in online advertising has shifted the focus of auction theory from quasi-linear utility maximization to value maximization subject to financial constraints. We study mechanism design for buyers with private…

Computer Science and Game Theory · Computer Science 2026-02-24 Xiaodong Liu , Weiran Shen , Zihe Wang

This note pursues two primary objectives. First, we analyze the outcomes of an all-pay auction within a store where buyers with and without financial constraints arrive at varying rates, and where buyer types are private information.…

Theoretical Economics · Economics 2024-04-16 Cemil Selcuk

In today's online advertising markets, it is common for advertisers to set long-term budgets. Correspondingly, advertising platforms adopt budget control methods to ensure that advertisers' payments lie within their budgets. Most budget…

Computer Science and Game Theory · Computer Science 2024-02-13 Zhaohua Chen , Mingwei Yang , Chang Wang , Jicheng Li , Zheng Cai , Yukun Ren , Zhihua Zhu , Xiaotie Deng

Diffusion auction is a new model in auction design. It can incentivize the buyers who have already joined in the auction to further diffuse the sale information to others via social relations, whereby both the seller's revenue and the…

Computer Science and Game Theory · Computer Science 2020-04-28 Bin Li , Dong Hao , Dengji Zhao

We study revenue optimization in a repeated auction between a single seller and a single buyer. Traditionally, the design of repeated auctions requires strong modeling assumptions about the bidder behavior, such as it being myopic, infinite…

Computer Science and Game Theory · Computer Science 2019-03-12 Shipra Agrawal , Constantinos Daskalakis , Vahab Mirrokni , Balasubramanian Sivan

Sponsored search auctions are commonly modeled as an assignment of a fixed set of slots (positions) to a set of advertisers, with welfare maximization being reducible to a standard matching problem. Motivated by modern ad formats, we study…

Computer Science and Game Theory · Computer Science 2026-05-13 Eleni Batziou , Georgios Birmpas , Georgios Chionas , Piotr Krysta

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

Theoretical Economics · Economics 2021-10-19 Sosung Baik , Sung-Ha Hwang

In mechanism design it is typical to impose incentive compatibility and then derive an optimal mechanism subject to this constraint. By replacing the incentive compatibility requirement with the goal of minimizing expected ex post regret,…

Computer Science and Game Theory · Computer Science 2012-08-07 Paul Duetting , Felix Fischer , Pitchayut Jirapinyo , John K. Lai , Benjamin Lubin , David C. Parkes