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A longstanding open problem in Algorithmic Mechanism Design is to design computationally-efficient truthful mechanisms for (approximately) maximizing welfare in combinatorial auctions with submodular bidders. The first such mechanism was…

计算机科学与博弈论 · 计算机科学 2019-11-11 Sepehr Assadi , Sahil Singla

We present a computationally-efficient truthful mechanism for combinatorial auctions with subadditive bidders that achieves an $O((\log\!\log{m})^3)$-approximation to the maximum welfare in expectation using $O(n)$ demand queries; here $m$…

计算机科学与博弈论 · 计算机科学 2020-10-06 Sepehr Assadi , Thomas Kesselheim , Sahil Singla

We provide the first separation in the approximation guarantee achievable by truthful and non-truthful combinatorial auctions with polynomial communication. Specifically, we prove that any truthful mechanism guaranteeing a…

计算机科学与博弈论 · 计算机科学 2020-11-17 Sepehr Assadi , Hrishikesh Khandeparkar , Raghuvansh R. Saxena , S. Matthew Weinberg

We study the communication complexity of welfare maximization in combinatorial auctions with $m$ items and two subadditive bidders. A $\frac{1}{2}$-approximation can be guaranteed by a trivial randomized protocol with zero communication, or…

计算机科学与博弈论 · 计算机科学 2018-11-27 Tomer Ezra , Michal Feldman , Eric Neyman , Inbal Talgam-Cohen , S. Matthew Weinberg

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…

计算机科学与博弈论 · 计算机科学 2024-09-13 Shiri Ron , Clayton Thomas , S. Matthew Weinberg , Qianfan Zhang

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…

计算机科学与博弈论 · 计算机科学 2015-03-20 Shahar Dobzinski , Jan Vondrak

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…

计算机科学与博弈论 · 计算机科学 2016-07-14 Salman Fadaei , Martin Bichler

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…

计算机科学与博弈论 · 计算机科学 2015-03-17 Shahar Dobzinski

Submodular over signal (SOS) defines a family of interesting functions for which there exist truthful mechanisms with constant approximation to the social welfare for agents with interdependent valuations. The best-known truthful auction is…

计算机科学与博弈论 · 计算机科学 2022-10-14 Pinyan Lu , Enze Sun , Chenghan Zhou

We study a central problem in Algorithmic Mechanism Design: constructing truthful mechanisms for welfare maximization in combinatorial auctions with submodular bidders. Dobzinski, Nisan, and Schapira provided the first mechanism that…

计算机科学与博弈论 · 计算机科学 2017-08-15 Shahar Dobzinski

This manuscript presents an alternative implementation of the truthful-in-expectation mechanism of Dughmi, Roughgarden and Yan for combinatorial auctions with weighted-matroid-rank-sum valuations. The new implementation uses only value…

计算机科学与博弈论 · 计算机科学 2011-09-07 Shaddin Dughmi , Tim Roughgarden , Jan Vondrak , Qiqi Yan

We consider the problem of designing a revenue-maximizing auction for a single item, when the values of the bidders are drawn from a correlated distribution. We observe that there exists an algorithm that finds the optimal randomized…

计算机科学与博弈论 · 计算机科学 2015-03-17 Shahar Dobzinski , Hu Fu , Robert Kleinberg

We consider truthful combinatorial auctions with items $M = [m]$ for sale to $n$ bidders, where each bidder $i$ has a private monotone valuation $v_i : 2^M \to R_+$. Among truthful mechanisms, maximal-in-range (MIR) mechanisms achieve the…

计算机科学与博弈论 · 计算机科学 2024-04-02 Frederick V. Qiu , S. Matthew Weinberg

Prophet inequalities compare the expected performance of an online algorithm for a stochastic optimization problem to the expected optimal solution in hindsight. They are a major alternative to classic worst-case competitive analysis, of…

计算机科学与博弈论 · 计算机科学 2020-04-22 Paul Dütting , Thomas Kesselheim , Brendan Lucier

State-of-the-art posted-price mechanisms for submodular bidders with $m$ items achieve approximation guarantees of $O((\log \log m)^3)$ [Assadi and Singla, 2019]. Their truthfulness, however, requires bidders to compute an NP-hard…

计算机科学与博弈论 · 计算机科学 2020-08-05 Linda Cai , Clayton Thomas , S. Matthew Weinberg

We study the necessity of interaction for obtaining efficient allocations in subadditive combinatorial auctions. This problem was originally introduced by Dobzinski, Nisan, and Oren (STOC'14) as the following simple market scenario: $m$…

计算机科学与博弈论 · 计算机科学 2017-05-05 Sepehr Assadi

We study incentive compatible mechanisms for Combinatorial Auctions where the bidders have submodular (or XOS) valuations and are budget-constrained. Our objective is to maximize the \emph{liquid welfare}, a notion of efficiency for…

计算机科学与博弈论 · 计算机科学 2018-12-14 Dimitris Fotakis , Kyriakos Lotidis , Chara Podimata

In budget-feasible mechanism design, there is a set of items $U$, each owned by a distinct seller. The seller of item $e$ incurs a private cost $\overline{c}_e$ for supplying her item. A buyer wishes to procure a set of items from the…

计算机科学与博弈论 · 计算机科学 2026-03-04 Rian Neogi , Kanstantsin Pashkovich , Chaitanya Swamy

Bidders in combinatorial auctions face significant challenges when describing their preferences to an auctioneer. Classical work on preference elicitation focuses on query-based techniques inspired from proper learning--often via proxies…

计算机科学与博弈论 · 计算机科学 2025-12-23 David Huang , Francisco Marmolejo-Cossío , Edwin Lock , David Parkes

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…

计算机科学与博弈论 · 计算机科学 2021-07-20 Ameer Amer , Inbal Talgam-Cohen
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