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We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

Computer Science and Game Theory · Computer Science 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

This paper considers prior-independent mechanism design, in which a single mechanism is designed to achieve approximately optimal performance on every prior distribution from a given class. Most results in this literature focus on…

Computer Science and Game Theory · Computer Science 2021-03-01 Yiding Feng , Jason D. Hartline , Yingkai Li

We study the online fair division problem, where indivisible goods arrive sequentially and must be allocated immediately and irrevocably. Prior work establishes strong impossibility results for approximating classic notions such as…

Computer Science and Game Theory · Computer Science 2026-05-29 Davin Choo , Winston Fu , Derek Khu , Tzeh Yuan Neoh , Tze-Yang Poon , Nicholas Teh

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We consider the problem of fairly allocating a combination of divisible and indivisible goods. While fairness criteria like envy-freeness (EF) and proportionality (PROP) can always be achieved for divisible goods, only their relaxed…

Computer Science and Game Theory · Computer Science 2024-04-30 Bo Li , Zihao Li , Shengxin Liu , Zekai Wu

We present a general framework for designing approximately revenue-optimal mechanisms for multi-item additive auctions, which applies to both truthful and non-truthful auctions. Given a (not necessarily truthful) single-item auction format…

Computer Science and Game Theory · Computer Science 2022-09-23 Constantinos Daskalakis , Maxwell Fishelson , Brendan Lucier , Vasilis Syrgkanis , Santhoshini Velusamy

We consider the fair division of indivisible items among $n$ agents with additive non-negative normalized valuations, with the goal of obtaining high value guarantees, that is, close to the proportional share for each agent. We prove that…

Computer Science and Game Theory · Computer Science 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi

We investigate the possibility of an incentive-compatible (IC, a.k.a. strategy-proof) mechanism for the classification of agents in a network according to their reviews of each other. In the $ \alpha $-classification problem we are…

Computer Science and Game Theory · Computer Science 2019-11-21 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

We study the problem of fairly dividing a heterogeneous resource, commonly known as cake cutting and chore division, in the presence of strategic agents. While a number of results in this setting have been established in previous works,…

Computer Science and Game Theory · Computer Science 2020-09-15 Xiaohui Bei , Guangda Huzhang , Warut Suksompong

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

Computer Science and Game Theory · Computer Science 2022-04-15 Uriel Feige , Yehonatan Tahan

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

Theoretical Economics · Economics 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

We study the classic cake cutting problem from a mechanism design perspective, in particular focusing on deterministic mechanisms that are strategyproof and fair. We begin by looking at mechanisms that are non-wasteful and primarily show…

Computer Science and Game Theory · Computer Science 2017-05-19 Vijay Menon , Kate Larson

Mechanism design in resource allocation studies dividing limited resources among self-interested agents whose satisfaction with the allocation depends on privately held utilities. We consider the problem in a payment-free setting, with the…

Computer Science and Game Theory · Computer Science 2025-01-03 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

We study envy-free pricing mechanisms in matching markets with $m$ items and $n$ budget constrained buyers. Each buyer is interested in a subset of the items on sale, and she appraises at some single-value every item in her preference-set.…

Computer Science and Game Theory · Computer Science 2016-10-31 Riccardo Colini-Baldeschi , Stefano Leonardi , Qiang Zhang

We consider a dynamic mechanism design problem where an auctioneer sells an indivisible good to groups of buyers in every round, for a total of $T$ rounds. The auctioneer aims to maximize their discounted overall revenue while adhering to a…

Computer Science and Game Theory · Computer Science 2024-10-04 Alireza Fallah , Michael I. Jordan , Annie Ulichney

We study the efficiency of fair allocations using the well-studied price of fairness concept, which quantitatively measures the worst-case efficiency loss when imposing fairness constraints. Previous works provided partial results on the…

Computer Science and Game Theory · Computer Science 2024-01-04 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao , Yichen Tao

We consider the problem of a principal who needs to elicit the true worth of an object she owns from an agent who has a unique ability to compute this information. The correctness of the information cannot be verified by the principal, so…

Computer Science and Game Theory · Computer Science 2020-09-15 Shani Alkobi , David Sarne , Erel Segal-Halevi , Tomer Sharbaf

We study the problem of fairly assigning a set of discrete tasks (or chores) among a set of agents with additive valuations. Each chore is associated with a start and finish time, and each agent can perform at most one chore at any given…

Computer Science and Game Theory · Computer Science 2026-05-06 Sarfaraz Equbal , Rohit Gurjar , Yatharth Kumar , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish

The quintessential model-based reinforcement-learning agent iteratively refines its estimates or prior beliefs about the true underlying model of the environment. Recent empirical successes in model-based reinforcement learning with…

Machine Learning · Computer Science 2022-11-02 Dilip Arumugam , Benjamin Van Roy

We consider the problem of allocating indivisible objects to agents when agents have strict preferences over objects. There are inherent trade-offs between competing notions of efficiency, fairness and incentives in assignment mechanisms.…

Theoretical Economics · Economics 2020-11-02 Priyanka Shende , Manish Purohit
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