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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…

Computer Science and Game Theory · Computer Science 2020-11-17 Sepehr Assadi , Hrishikesh Khandeparkar , Raghuvansh R. Saxena , S. Matthew Weinberg

We consider the problem of maximizing a monotone submodular function under noise. There has been a great deal of work on optimization of submodular functions under various constraints, resulting in algorithms that provide desirable…

Data Structures and Algorithms · Computer Science 2016-11-08 Avinatan Hassidim , Yaron Singer

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 $m$…

Computer Science and Game Theory · Computer Science 2020-10-06 Sepehr Assadi , Thomas Kesselheim , Sahil Singla

We study the problem of fairly dividing indivisible goods among a set of agents under the fairness notion of Any Price Share (APS). APS is known to dominate the widely studied Maximin share (MMS). Since an exact APS allocation may not…

Computer Science and Game Theory · Computer Science 2023-12-15 Pooja Kulkarni , Rucha Kulkarni , Ruta Mehta

The framework of budget-feasible mechanism design studies procurement auctions where the auctioneer (buyer) aims to maximize his valuation function subject to a hard budget constraint. We study the problem of designing truthful mechanisms…

Computer Science and Game Theory · Computer Science 2019-05-07 Georgios Amanatidis , Pieter Kleer , Guido Schäfer

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 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…

Computer Science and Game Theory · Computer Science 2015-03-17 Shahar Dobzinski , Hu Fu , Robert Kleinberg

In this work, we study online submodular maximization, and how the requirement of maintaining a stable solution impacts the approximation. In particular, we seek bounds on the best-possible approximation ratio that is attainable when the…

Data Structures and Algorithms · Computer Science 2024-12-04 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson , Morteza Zadimoghaddam

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

Maximizing a single submodular set function subject to a cardinality constraint is a well-studied and central topic in combinatorial optimization. However, finding a set that maximizes multiple functions at the same time is much less…

Data Structures and Algorithms · Computer Science 2025-05-16 Fabian Spaeh , Atsushi Miyauchi

We present a $380$-approximation algorithm for the Nash Social Welfare problem with submodular valuations. Our algorithm builds on and extends a recent constant-factor approximation for Rado valuations.

Computer Science and Game Theory · Computer Science 2021-11-18 Wenzheng Li , Jan Vondrák

We study fair allocation of indivisible goods among strategic agents with additive valuations. Motivated by impossibility results for deterministic truthful mechanisms, we focus on randomized mechanisms that are…

Computer Science and Game Theory · Computer Science 2026-05-01 Moshe Babaioff , Uriel Feige , Noam Manaker Morag

We study the problem of fairly allocating a set of indivisible items among a set of agents. We consider the notion of (approximate) maximin share (MMS) and we provide an improved lower bound of $1/2$ (which is tight) for the case of…

Computer Science and Game Theory · Computer Science 2025-02-10 George Christodoulou , Vasilis Christoforidis , Symeon Mastrakoulis , Alkmini Sgouritsa

We study the problem of a budget limited buyer who wants to buy a set of items, each from a different seller, to maximize her value. The budget feasible mechanism design problem aims to design a mechanism which incentivizes the sellers to…

Computer Science and Game Theory · Computer Science 2017-04-03 Pooya Jalaly , Eva Tardos

In this paper, we show a tight approximation guarantee for budget-feasible mechanisms with an additive buyer. We propose a new simple randomized mechanism with approximation ratio of $2$, improving the previous best known result of $3$. Our…

Computer Science and Game Theory · Computer Science 2020-07-22 Nick Gravin , Yaonan Jin , Pinyan Lu , Chenhao Zhang

Fair division is a fundamental problem in various multi-agent settings, where the goal is to divide a set of resources among agents in a fair manner. We study the case where m indivisible items need to be divided among n agents with…

Computer Science and Game Theory · Computer Science 2021-04-07 Jugal Garg , Setareh Taki

We study the maximin share (MMS) fair allocation of $m$ indivisible chores to $n$ agents who have costs for completing the assigned chores. It is known that exact MMS fairness cannot be guaranteed, and so far the best-known approximation…

Computer Science and Game Theory · Computer Science 2023-05-19 Bo Li , Fangxiao Wang , Yu Zhou

In the interdependent values (IDV) model introduced by Milgrom and Weber [1982], agents have private signals that capture their information about different social alternatives, and the valuation of every agent is a function of all agent…

Computer Science and Game Theory · Computer Science 2023-09-13 Avi Cohen , Michal Feldman , Divyarthi Mohan , Inbal Talgam-Cohen

In this work, we study spectrum auction problem where each request from secondary users has spatial, temporal, and spectral features. With the requests of secondary users and the reserve price of the primary user, our goal is to design…

Networking and Internet Architecture · Computer Science 2013-05-29 Yu-e Sun , He Huang , Xiang-Yang Li , Zhili Chen , Wei Yang , Hongli Xu , Liusheng Huang

We study the problem of approximate social welfare maximization (without money) in one-sided matching problems when agents have unrestricted cardinal preferences over a finite set of items. Random priority is a very well-known…

Computer Science and Game Theory · Computer Science 2014-05-07 Aris Filos-Ratsikas , Søren Kristoffer Stiil Frederiksen , Jie Zhang