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We study fair division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

Computer Science and Game Theory · Computer Science 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

Recent work has constructed economic mechanisms that are both truthful and differentially private. In these mechanisms, privacy is treated separately from the truthfulness; it is not incorporated in players' utility functions (and doing so…

Computer Science and Game Theory · Computer Science 2012-11-14 Yiling Chen , Stephen Chong , Ian A. Kash , Tal Moran , Salil Vadhan

We investigate mechanism design without payments when agents have different types of preferences. Contrary to most settings in the literature where agents have the same preference, e.g. in the facility location games all agents would like…

Computer Science and Game Theory · Computer Science 2016-09-16 Qiang Zhang

In this paper, we study the classic problem of fairly allocating indivisible items with the extra feature that the items lie on a line. Our goal is to find a fair allocation that is contiguous, meaning that the bundle of each agent forms a…

Computer Science and Game Theory · Computer Science 2019-04-30 Warut Suksompong

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

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

Computer Science and Game Theory · Computer Science 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

We study the mechanism design problem of scheduling unrelated machines and we completely characterize the decisive truthful mechanisms for two players when the domain contains both positive and negative values. We show that the class of…

Computer Science and Game Theory · Computer Science 2008-07-23 George Christodoulou , Elias Koutsoupias , Angelina Vidali

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

Computer Science and Game Theory · Computer Science 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

We study the fundamental problem of allocating indivisible goods to agents with additive preferences. We consider eliciting from each agent only a ranking of her $k$ most preferred goods instead of her full cardinal valuations. We…

Computer Science and Game Theory · Computer Science 2021-05-25 Daniel Halpern , Nisarg Shah

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

Computer Science and Game Theory · Computer Science 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

Computer Science and Game Theory · Computer Science 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

Computer Science and Game Theory · Computer Science 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

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

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

Computer Science and Game Theory · Computer Science 2020-03-19 Haris Aziz

We study mechanisms for an allocation of goods among agents, where agents have no incentive to lie about their true values (incentive compatible) and for which no agent will seek to exchange outcomes with another (envy-free). Mechanisms…

Computer Science and Game Theory · Computer Science 2010-03-30 Edith Cohen , Michal Feldman , Amos Fiat , Haim Kaplan , Svetlana Olonetsky

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

Computer Science and Game Theory · Computer Science 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang