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In various markets where sellers compete in price, price oscillations are observed rather than convergence to equilibrium. Such fluctuations have been empirically observed in the retail market for gasoline, in airline pricing and in the…

Computer Science and Game Theory · Computer Science 2015-04-28 Moshe Babaioff , Renato Paes Leme , Balasubramanian Sivan

We study online learning in repeated first-price auctions where a bidder, only observing the winning bid at the end of each auction, learns to adaptively bid in order to maximize her cumulative payoff. To achieve this goal, the bidder faces…

Machine Learning · Computer Science 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

We study equilibria in two-buyer sequential second-price (or first-price) auctions for identical goods. Buyers have weakly decreasing incremental values, and we make a behavioural no-overbidding assumption: the buyers do not bid above their…

Computer Science and Game Theory · Computer Science 2020-06-08 Mete Şeref Ahunbay , Brendan Lucier , Adrian Vetta

According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

Computer Science and Game Theory · Computer Science 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

We study the price of anarchy of the first-price auction in the autobidding world, where bidders can be either utility maximizers (i.e., traditional bidders) or value maximizers (i.e., autobidders). We show that with autobidders only, the…

Computer Science and Game Theory · Computer Science 2022-08-24 Yuan Deng , Jieming Mao , Vahab Mirrokni , Hanrui Zhang , Song Zuo

We provide the first analysis of (deferred acceptance) clock auctions in the learning-augmented framework. These auctions satisfy a unique list of appealing properties, including obvious strategyproofness, transparency, and unconditional…

Computer Science and Game Theory · Computer Science 2024-11-06 Vasilis Gkatzelis , Daniel Schoepflin , Xizhi Tan

From social networks to supply chains, more and more aspects of how humans, firms and organizations interact is mediated by artificial learning agents. As the influence of machine learning systems grows, it is paramount that we study how to…

Multiagent Systems · Computer Science 2022-11-02 Andrea Tacchetti , DJ Strouse , Marta Garnelo , Thore Graepel , Yoram Bachrach

A line of recent work provides welfare guarantees of simple combinatorial auction formats, such as selling m items via simultaneous second price auctions (SiSPAs) (Christodoulou et al. 2008, Bhawalkar and Roughgarden 2011, Feldman et al.…

Computer Science and Game Theory · Computer Science 2016-04-07 Constantinos Daskalakis , Vasilis Syrgkanis

In modern advertising platforms, learning algorithms are deployed by budget-constrained bidders to maximize their accumulated value. These algorithms often offer classical utility guarantees like no-regret, i.e., the agent's utility is at…

Computer Science and Game Theory · Computer Science 2026-02-23 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Yishay Mansour , Eva Tardos

The convergence properties of learning dynamics in repeated auctions is a timely and important question, with numerous applications in, e.g., online advertising markets. This work focuses on repeated first-price auctions where bidders with…

Computer Science and Game Theory · Computer Science 2025-08-21 Xiaotie Deng , Xinyan Hu , Tao Lin , Weiqiang Zheng

We study the bidding problem in repeated uniform price multi-unit auctions from the perspective of a value-maximizing buyer. The buyer aims to maximize their cumulative value over $T$ rounds while adhering to per-round return-on-investment…

Data Structures and Algorithms · Computer Science 2025-10-07 Negin Golrezaei , Sourav Sahoo

We consider auctions in which greedy algorithms, paired with first-price or critical-price payment rules, are used to resolve multi-parameter combinatorial allocation problems. We study the price of anarchy for social welfare in such…

Computer Science and Game Theory · Computer Science 2014-12-02 Brendan Lucier , Allan Borodin

In Bayesian single-item auctions, a monotone bidding strategy--one that prescribes a higher bid for a higher value type--can be equivalently represented as a partition of the quantile space into consecutive intervals corresponding to…

Computer Science and Game Theory · Computer Science 2026-02-10 Junyao Zhao

Recently the online advertising market has exhibited a gradual shift from second-price auctions to first-price auctions. Although there has been a line of works concerning online bidding strategies in first-price auctions, it still remains…

Computer Science and Game Theory · Computer Science 2022-05-31 Rui Ai , Chang Wang , Chenchen Li , Jinshan Zhang , Wenhan Huang , Xiaotie Deng

In many settings agents participate in multiple different auctions that are not necessarily implemented simultaneously. Future opportunities affect strategic considerations of the players in each auction, introducing externalities.…

Computer Science and Game Theory · Computer Science 2011-12-30 Renato Paes Leme , Vasilis Syrgkanis , Eva Tardos

First-price auctions have recently gained significant traction in digital advertising markets, exemplified by Google's transition from second-price to first-price auctions. Unlike in second-price auctions, where bidding one's private…

Machine Learning · Computer Science 2025-10-07 Zihao Hu , Xiaoyu Fan , Yuan Yao , Jiheng Zhang , Zhengyuan Zhou

A canonical setting for non-monetary online resource allocation is one where agents compete over multiple rounds for a single item per round, with i.i.d. valuations and additive utilities across rounds. With $n$ symmetric agents, a natural…

Computer Science and Game Theory · Computer Science 2025-12-01 David X. Lin , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

Computer Science and Game Theory · Computer Science 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

In recent years, the growing adoption of autobidding has motivated the study of auction design with value-maximizing auto-bidders. It is known that under mild assumptions, uniform bid-scaling is an optimal bidding strategy in truthful…

Computer Science and Game Theory · Computer Science 2023-11-20 Yuan Deng , Jieming Mao , Vahab Mirrokni , Yifeng Teng , Song Zuo