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We consider descending price auctions for selling $m$ units of a good to unit demand i.i.d. buyers where there is an exogenous bound of $k$ on the number of price levels the auction clock can take. The auctioneer's problem is to choose…

Computer Science and Game Theory · Computer Science 2022-03-04 Saeed Alaei , Ali Makhdoumi , Azarakhsh Malekian , Rad Niazadeh

We study two standard multi-unit auction formats for allocating multiple units of a single good to multi-demand bidders. The first one is the Discriminatory Auction, which charges every winner his winning bids. The second is the Uniform…

Computer Science and Game Theory · Computer Science 2016-05-02 Bart de Keijzer , Evangelos Markakis , Guido Schäfer , Orestis Telelis

We consider multi-objective reinforcement learning problems where objectives come from an identical family -- such as the class of reachability objectives -- and may appear or disappear at runtime. Our goal is to design adaptive policies…

Machine Learning · Computer Science 2026-05-12 Guruprerana Shabadi , Kaushik Mallik

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

Theoretical Economics · Economics 2022-02-16 Ethan Che

In the private values single object auction model, we construct a satisfactory mechanism - a symmetric, dominant strategy incentive compatible, and budget-balanced mechanism. Our mechanism allocates the object to the highest valued agent…

Computer Science and Game Theory · Computer Science 2016-10-04 Debasis Mishra , Tridib Sharma

Most of the work in the auction design literature assumes that bidders behave rationally based on the information available for every individual auction, and the revelation principle enables designers to restrict their efforts to incentive…

Computer Science and Game Theory · Computer Science 2024-05-14 Juncheng Li , Pingzhong Tang

In digital goods auctions, there is an auctioneer who sells an item with unlimited supply to a set of potential buyers, and the objective is to design truthful auction to maximize the total profit of the auctioneer. Motivated from an…

Computer Science and Game Theory · Computer Science 2011-07-27 Nick Gravin , Pinyan Lu

In markets with budget-constrained buyers, competitive equilibria need not be efficient in the utilitarian sense, or maximise the seller's revenue. We consider a setting with multiple divisible goods. Competitive equilibrium outcomes, and…

Theoretical Economics · Economics 2025-04-09 Simon Finster , Paul W. Goldberg , Edwin Lock

We provide simple and approximately revenue-optimal mechanisms in the multi-item multi-bidder settings. We unify and improve all previous results, as well as generalize the results to broader cases. In particular, we prove that the better…

Computer Science and Game Theory · Computer Science 2019-08-27 Yang Cai , Mingfei Zhao

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

Computer Science and Game Theory · Computer Science 2021-09-13 Vitor Bosshard , Sven Seuken

Motivated by practical constraints in online advertising, we investigate single-parameter auction design for bidders with constraints on their Return On Investment (ROI) -- a targeted minimum ratio between the obtained value and the…

Computer Science and Game Theory · Computer Science 2023-10-04 Hongtao Lv , Xiaohui Bei , Zhenzhe Zheng , Fan Wu

A recent line of research has established a novel desideratum for designing approximately-revenue-optimal multi-item mechanisms, namely the buy-many constraint. Under this constraint, prices for different allocations made by the mechanism…

Computer Science and Game Theory · Computer Science 2024-05-17 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

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

The study of repeated interactions between a learner and a utility-maximizing optimizer has yielded deep insights into the manipulability of learning algorithms. However, existing literature primarily focuses on independent, unlinked…

Computer Science and Game Theory · Computer Science 2026-04-10 Giannis Fikioris , Balasubramanian Sivan , Éva Tardos

Complements between goods - where one good takes on added value in the presence of another - have been a thorn in the side of algorithmic mechanism designers. On the one hand, complements are common in the standard motivating applications…

Computer Science and Game Theory · Computer Science 2012-05-21 Ittai Abraham , Moshe Babaioff , Shaddin Dughmi , Tim Roughgarden

Internet ad auctions have evolved from a few lines of text to richer informational layouts that include images, sitelinks, videos, etc. Ads in these new formats occupy varying amounts of space, and an advertiser can provide multiple…

Computer Science and Game Theory · Computer Science 2022-06-08 Gagan Aggarwal , Kshipra Bhawalkar , Aranyak Mehta , Divyarthi Mohan , Alexandros Psomas

The paper designs revenue-maximizing auction mechanisms for agents who aim to maximize their total obtained values rather than the classical quasi-linear utilities. Several models have been proposed to capture the behaviors of such agents…

Computer Science and Game Theory · Computer Science 2023-07-11 Pinyan Lu , Chenyang Xu , Ruilong Zhang

Strategyproofness in network auctions requires that bidders not only report their valuations truthfully, but also do their best to invite neighbours from the social network. In contrast to canonical auctions, where the value-monotone…

Computer Science and Game Theory · Computer Science 2025-07-22 Yuhang Guo , Dong Hao , Bin Li , Mingyu Xiao , Bakh Khoussainov

Budget constraints are ubiquitous in online advertisement auctions. To manage these constraints and smooth out the expenditure across auctions, the bidders (or the platform on behalf of them) often employ pacing: each bidder is assigned a…

Computer Science and Game Theory · Computer Science 2023-02-07 Xi Chen , Christian Kroer , Rachitesh Kumar

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

Computer Science and Game Theory · Computer Science 2015-10-14 Yiannis Giannakopoulos
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