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We initiate the study of the communication complexity of fair division with indivisible goods. We focus on some of the most well-studied fairness notions (envy-freeness, proportionality, and approximations thereof) and valuation classes…

Computer Science and Game Theory · Computer Science 2020-03-25 Benjamin Plaut , Tim Roughgarden

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

Computer Science and Game Theory · Computer Science 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

Combinatorial auctions are used to allocate resources in domains where bidders have complex preferences over bundles of goods. However, the behavior of bidders under different payment rules is not well understood, and there has been limited…

Computer Science and Game Theory · Computer Science 2022-06-09 Vitor Bosshard , Ye Wang , Sven Seuken

Interdependent values make basic auction design tasks -- in particular maximizing welfare truthfully in single-item auctions -- quite challenging. Eden et al. recently established that if the bidders valuation functions are submodular over…

Computer Science and Game Theory · Computer Science 2021-07-20 Ameer Amer , Inbal Talgam-Cohen

The notion of \emph{envy-freeness} is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are unfortunately not guaranteed to exist. Classical works have avoided this issue by…

Computer Science and Game Theory · Computer Science 2021-05-06 Hiromichi Goko , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hanna Sumita , Akihisa Tamura , Yu Yokoi , Makoto Yokoo

We study the classic setting of envy-free pricing, in which a single seller chooses prices for its many items, with the goal of maximizing revenue once the items are allocated. Despite the large body of work addressing such settings, most…

Computer Science and Game Theory · Computer Science 2017-05-03 Elliot Anshelevich , Koushik Kar , Shreyas Sekar

We study reserve prices in auctions with independent private values when bidders are expectations-based loss averse. We find that the optimal public reserve price excludes fewer bidder types than under risk neutrality. Moreover, we show…

Theoretical Economics · Economics 2023-06-16 Benjamin Balzer , Antonio Rosato

Developing efficient sequential bidding strategies for repeated auctions is an important practical challenge in various marketing tasks. In this setting, the bidding agent obtains information, on both the value of the item at sale and the…

Machine Learning · Computer Science 2021-03-01 Juliette Achddou , Olivier Cappé , Aurélien Garivier

In the envy-free perfect matching problem, $n$ items with unit supply are available to be sold to $n$ buyers with unit demand. The objective is to find allocation and prices such that both seller's revenue and buyers' surpluses are…

Computer Science and Game Theory · Computer Science 2023-08-25 Marcos Salvatierra

For selling a single item to agents with independent but non-identically distributed values, the revenue optimal auction is complex. With respect to it, Hartline and Roughgarden (2009) showed that the approximation factor of the…

Computer Science and Game Theory · Computer Science 2016-11-17 Saeed Alaei , Jason Hartline , Rad Niazadeh , Emmanouil Pountourakis , Yang Yuan

We study procurement auctions, where an auctioneer seeks to acquire services from strategic sellers with private costs. The quality of services is measured by a submodular function known to the auctioneer. Our goal is to design…

Computer Science and Game Theory · Computer Science 2024-11-21 Yuan Deng , Amin Karbasi , Vahab Mirrokni , Renato Paes Leme , Grigoris Velegkas , Song Zuo

We study the problem of selling a good to a group of bidders with interdependent values in a prior-free setting. Each bidder has a signal that can take one of $k$ different values, and her value for the good is a weakly increasing function…

Computer Science and Game Theory · Computer Science 2021-07-21 Vasilis Gkatzelis , Rishi Patel , Emmanouil Pountourakis , Daniel Schoepflin

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 a game with \emph{strategic} vendors who own multiple items and a single buyer with a submodular valuation function. The goal of the vendors is to maximize their revenue via pricing of the items, given that the buyer will buy the…

Computer Science and Game Theory · Computer Science 2014-08-04 Omer Lev , Joel Oren , Craig Boutilier , Jeffery S. Rosenschein

Motivated by online advertising auctions, we study auction design in repeated auctions played by simple Artificial Intelligence algorithms (Q-learning). We find that first-price auctions with no additional feedback lead to tacit-collusive…

Theoretical Economics · Economics 2022-02-15 Martino Banchio , Andrzej Skrzypacz

One of the major drawbacks of the celebrated VCG auction is its low (or zero) revenue even when the agents have high value for the goods and a {\em competitive} outcome could have generated a significant revenue. A competitive outcome is…

Computer Science and Game Theory · Computer Science 2015-07-02 Gagan Goel , Mohammad Reza Khani , Renato Paes Leme

We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

Computer Science and Game Theory · Computer Science 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

We present a new type of monotone submodular functions: \emph{multi-peak submodular functions}. Roughly speaking, given a family of sets $\cF$, we construct a monotone submodular function $f$ with a high value $f(S)$ for every set $S \in…

Data Structures and Algorithms · Computer Science 2015-03-20 Shahar Dobzinski , Jan Vondrak

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

Designing an incentive-compatible auction mechanism that maximizes the auctioneer's revenue while minimizes the bidders' ex-post regret is an important yet intricate problem in economics. Remarkable progress has been achieved through…

Computer Science and Game Theory · Computer Science 2022-10-12 Tian Qin , Fengxiang He , Dingfeng Shi , Wenbing Huang , Dacheng Tao
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