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In this paper, we analyze a natural learning algorithm for uniform pacing of advertising budgets, equipped to adapt to varying ad sale platform conditions. On the demand side, advertisers face a fundamental technical challenge in automating…

Computer Science and Game Theory · Computer Science 2022-11-14 MohammadTaghi Hajiaghayi , Max Springer

In this paper, we consider the problem of designing incentive compatible auctions for multiple (homogeneous) units of a good, when bidders have private valuations and private budget constraints. When only the valuations are private and the…

Computer Science and Game Theory · Computer Science 2009-04-23 Sayan Bhattacharya , Vincent Conitzer , Kamesh Munagala , Lirong Xia

We study the problem of learning a linear model to set the reserve price in an auction, given contextual information, in order to maximize expected revenue from the seller side. First, we show that it is not possible to solve this problem…

Optimization and Control · Mathematics 2020-11-17 Joey Huchette , Haihao Lu , Hossein Esfandiari , Vahab Mirrokni

Budget pacing is a popular service that has been offered by major internet advertising platforms since their inception. Budget pacing systems seek to optimize advertiser returns subject to budget constraints by smoothly spending advertiser…

Computer Science and Game Theory · Computer Science 2023-12-18 Santiago R. Balseiro , Kshipra Bhawalkar , Zhe Feng , Haihao Lu , Vahab Mirrokni , Balasubramanian Sivan , Di Wang

We present the first analysis of Fisher markets with buyers that have budget-additive utility functions. Budget-additive utilities are elementary concave functions with numerous applications in online adword markets and revenue optimization…

Computer Science and Game Theory · Computer Science 2016-05-03 Xiaohui Bei , Jugal Garg , Martin Hoefer , Kurt Mehlhorn

The all-pay auction, a classic competitive model, is widely applied in scenarios such as political elections, sports competitions, and research and development, where all participants pay their bids regardless of winning or losing. However,…

Theoretical Economics · Economics 2025-07-24 Yan Liu , Ying Qin , Zihe Wang

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

Computer Science and Game Theory · Computer Science 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

In online ad markets, a rising number of advertisers are employing bidding agencies to participate in ad auctions. These agencies are specialized in designing online algorithms and bidding on behalf of their clients. Typically, an agency…

Computer Science and Game Theory · Computer Science 2023-06-14 Yurong Chen , Qian Wang , Zhijian Duan , Haoran Sun , Zhaohua Chen , Xiang Yan , Xiaotie Deng

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

Computer Science and Game Theory · Computer Science 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken

We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

We study competitive equilibrium in the canonical Fisher market model, but with indivisible goods. In this model, every agent has a budget of artificial currency with which to purchase bundles of goods. Equilibrium prices match between…

Computer Science and Game Theory · Computer Science 2019-11-25 Moshe Babaioff , Noam Nisan , Inbal Talgam-Cohen

Advances in computational optimization allow for the organization of large combinatorial markets. We aim for allocations and competitive equilibrium prices, i.e. outcomes that are in the core. The research is motivated by the design of…

Computer Science and Game Theory · Computer Science 2018-07-24 Martin Bichler , Stefan Waldherr

We study buyer-optimal procurement mechanisms when quality is contractible. When some costs are borne by every participant of a procurement auction regardless of winning, the classic analysis should be amended. We show that an optimal…

Theoretical Economics · Economics 2024-11-20 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

Computer Science and Game Theory · Computer Science 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Sequential auctions for identical items with unit-demand, private-value buyers are common and often occur periodically without end, as new bidders replace departing ones. We model bidder uncertainty by introducing a probability that a…

Computer Science and Game Theory · Computer Science 2025-10-13 Amir Ban

We study the computational complexity of computing Bayes-Nash equilibria in first-price auctions with discrete value distributions and discrete bidding space, under general subjective beliefs. It is known that such auctions do not always…

Computer Science and Game Theory · Computer Science 2024-11-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Computing market equilibria is a problem of both theoretical and applied interest. Much research to date focuses on the case of static Fisher markets with full information on buyers' utility functions and item supplies. Motivated by…

Computer Science and Game Theory · Computer Science 2021-10-05 Yuan Gao , Christian Kroer , Alex Peysakhovich

We initiate the study of how auction design affects the division of surplus among buyers. We propose a parsimonious measure for equity and apply it to the family of standard auctions for homogeneous goods. Our surplus-equitable mechanism is…

Theoretical Economics · Economics 2024-11-14 Simon Finster , Patrick Loiseau , Simon Mauras , Mathieu Molina , Bary Pradelski

Multi-unit auctions are a paradigmatic model, where a seller brings multiple units of a good, while several buyers bring monetary endowments. It is well known that Walrasian equilibria do not always exist in this model, however compelling…

Computer Science and Game Theory · Computer Science 2017-10-10 Simina Brânzei , Aris Filos-Ratsikas , Peter Bro Miltersen , Yulong Zeng