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We consider budget constrained combinatorial auctions where bidder $i$ has a private value $v_i$, a budget $b_i$, and is interested in all the items in $S_i$. The value to agent $i$ of a set of items $R$ is $|R \cap S_i| \cdot v_i$. Such…

Computer Science and Game Theory · Computer Science 2010-04-21 Amos Fiat , Stefano Leonardi , Jared Saia , Piotr Sankowski

We consider the single-item interdependent value setting, where there is a monopolist, $n$ buyers, and each buyer has a private signal $s_i$ describing a piece of information about the item. Each bidder $i$ also has a valuation function…

Computer Science and Game Theory · Computer Science 2021-11-04 Alon Eden , Kira Goldner , Shuran Zheng

We study combinatorial auctions with interdependent valuations. In such settings, each agent $i$ has a private signal $s_i$ that captures her private information, and the valuation function of every agent depends on the entire signal…

Computer Science and Game Theory · Computer Science 2019-06-04 Alon Eden , Michal Feldman , Amos Fiat , Kira Goldner , Anna R. Karlin

We study signaling in Bayesian ad auctions, in which bidders' valuations depend on a random, unknown state of nature. The auction mechanism has complete knowledge of the actual state of nature, and it can send signals to bidders so as to…

Computer Science and Game Theory · Computer Science 2022-01-25 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Giulia Romano , Nicola Gatti

We study the communication complexity of truthful combinatorial auctions, and in particular the case where valuations are either subadditive or single-minded, which we denote with $\mathsf{SubAdd}\cup\mathsf{SingleM}$. We show that for…

Computer Science and Game Theory · Computer Science 2024-09-13 Shiri Ron , Clayton Thomas , S. Matthew Weinberg , Qianfan Zhang

A major achievement of mechanism design theory is a general method for the construction of truthful mechanisms called VCG (Vickrey, Clarke, Groves). When applying this method to complex problems such as combinatorial auctions, a difficulty…

Computer Science and Game Theory · Computer Science 2011-10-04 N. Nisan , A. Ronen

One of the fundamental questions of Algorithmic Mechanism Design is whether there exists an inherent clash between truthfulness and computational tractability: in particular, whether polynomial-time truthful mechanisms for combinatorial…

Computer Science and Game Theory · Computer Science 2015-03-20 Shahar Dobzinski , Jan Vondrak

We show that every universally truthful randomized mechanism for combinatorial auctions with submodular valuations that provides $m^{\frac 1 2 -\epsilon}$ approximation to the social welfare and uses value queries only must use…

Computer Science and Game Theory · Computer Science 2015-03-17 Shahar Dobzinski

Automated bidding, an emerging intelligent decision making paradigm powered by machine learning, has become popular in online advertising. Advertisers in automated bidding evaluate the cumulative utilities and have private financial…

Computer Science and Game Theory · Computer Science 2023-08-22 Yidan Xing , Zhilin Zhang , Zhenzhe Zheng , Chuan Yu , Jian Xu , Fan Wu , Guihai Chen

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

In markets such as digital advertising auctions, bidders want to maximize value rather than payoff. This is different to the utility functions typically assumed in auction theory and leads to different strategies and outcomes. We refer to…

Computer Science and Game Theory · Computer Science 2016-07-14 Salman Fadaei , Martin Bichler

Combinatorial auctions (CA) are a well-studied area in algorithmic mechanism design. However, contrary to the standard model, empirical studies suggest that a bidder's valuation often does not depend solely on the goods assigned to him. For…

Computer Science and Game Theory · Computer Science 2015-10-01 Yun Kuen Cheung , Monika Henzinger , Martin Hoefer , Martin Starnberger

Revealed preference techniques are used to test whether a data set is compatible with rational behaviour. They are also incorporated as constraints in mechanism design to encourage truthful behaviour in applications such as combinatorial…

Computer Science and Game Theory · Computer Science 2015-10-29 Shant Boodaghians , Adrian Vetta

We present a new approach to machine learning-powered combinatorial auctions, which is based on the principles of Differential Privacy. Our methodology guarantees that the auction mechanism is truthful, meaning that rational bidders have…

Computer Science and Game Theory · Computer Science 2024-05-20 Arash Jamshidi , Seyed Mohammad Hosseini , Seyed Mahdi Noormousavi , Mahdi Jafari Siavoshani

We study anonymous posted price mechanisms for combinatorial auctions in a Bayesian framework. In a posted price mechanism, item prices are posted, then the consumers approach the seller sequentially in an arbitrary order, each purchasing…

Computer Science and Game Theory · Computer Science 2014-11-19 Michal Feldman , Nick Gravin , Brendan Lucier

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 a single-parameter mechanism design problem, a provider is looking to sell a service to a group of potential buyers. Each buyer $i$ has a private value $v_i$ for receiving the service and a feasibility constraint restricts which sets of…

Computer Science and Game Theory · Computer Science 2022-02-21 Michal Feldman , Vasilis Gkatzelis , Nick Gravin , Daniel Schoepflin

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 online combinatorial allocations/auctions, n bidders sequentially arrive, each with a combinatorial valuation (such as submodular/XOS) over subsets of m indivisible items. The aim is to immediately allocate a subset of the remaining…

Computer Science and Game Theory · Computer Science 2024-09-18 Paul Dütting , Thomas Kesselheim , Brendan Lucier , Rebecca Reiffenhäuser , Sahil Singla

We study the communication complexity of combinatorial auctions via interpolation mechanisms that interpolate between non-truthful and truthful protocols. Specifically, an interpolation mechanism has two phases. In the first phase, the…

Computer Science and Game Theory · Computer Science 2015-11-10 Mark Braverman , Jieming Mao , S. Matthew Weinberg
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