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We consider fair allocation of $m$ indivisible items to $n$ agents of equal entitlements, with submodular valuation functions. Previously, Seddighin and Seddighin [{\em Artificial Intelligence} 2024] proved the existence of allocations that…

Computer Science and Game Theory · Computer Science 2025-02-20 Uriel Feige , Shengyu Huang

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 fair allocation of indivisible goods for subadditive agents. While constant-\textsf{MMS} bounds have been given for additive and fractionally subadditive agents, the best existential bound for the case of subadditive…

Computer Science and Game Theory · Computer Science 2025-06-09 Masoud Seddighin , Saeed Seddighin

We consider the problem of approximate maximin share (MMS) allocation of indivisible items among three agents with additive valuation functions. For goods, we show that an $\frac{11}{12}$ - MMS allocation always exists, improving over the…

Computer Science and Game Theory · Computer Science 2022-05-12 Uriel Feige , Alexey Norkin

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

Computer Science and Game Theory · Computer Science 2025-02-17 George Christodoulou , Vasilis Christoforidis

We consider the problem of fair allocation of indivisible goods to agents with submodular valuation functions, where agents may have either equal entitlements or arbitrary (possibly unequal) entitlements. We focus on share-based fairness…

Computer Science and Game Theory · Computer Science 2023-03-23 Gilad Ben Uziahu , Uriel Feige

We consider the problem of fairly allocating a sequence of indivisible items that arrive online in an arbitrary order to a group of n agents with additive normalized valuation functions. We consider both the allocation of goods and chores…

Computer Science and Game Theory · Computer Science 2023-04-27 Shengwei Zhou , Rufan Bai , Xiaowei Wu

We study the problem of fairly allocating a set of indivisible items to a set of agents with additive valuations. Recently, Feige et al. (WINE'21) proved that a maximin share (MMS) allocation exists for all instances with $n$ agents and no…

Computer Science and Game Theory · Computer Science 2023-02-02 Halvard Hummel

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

Computer Science and Game Theory · Computer Science 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan

We consider fair division of a set of indivisible goods among $n$ agents with additive valuations using the fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an agent finds an allocation fair to…

Computer Science and Game Theory · Computer Science 2024-02-19 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

We study fair division of indivisible goods under the maximin share (MMS) fairness criterion in settings where agents are grouped into a small number of types, with agents within each type having identical valuations. For the special case…

Computer Science and Game Theory · Computer Science 2025-03-05 Jugal Garg , Parnian Shahkar

We study fair resource allocation when the resources contain a mixture of divisible and indivisible goods, focusing on the well-studied fairness notion of maximin share fairness (MMS). With only indivisible goods, a full MMS allocation may…

Computer Science and Game Theory · Computer Science 2021-07-02 Xiaohui Bei , Shengxin Liu , Xinhang Lu , Hongao Wang

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

Computer Science and Game Theory · Computer Science 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

Computer Science and Game Theory · Computer Science 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

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 classic problem of fairly allocating a set of indivisible goods among a group of agents, and focus on the notion of approximate proportionality known as PROPm. Prior work showed that there exists an allocation that satisfies…

Computer Science and Game Theory · Computer Science 2021-05-25 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

We study the problem of fair allocation of a set of indivisible goods among $n$ agents with $k$ distinct additive valuations, with the goal of achieving approximate envy-freeness up to any good ($\alpha-\mathrm{EFX}$). It is known that EFX…

Computer Science and Game Theory · Computer Science 2025-08-22 Vishwa Prakash HV , Ruta Mehta , Prajakta Nimbhorkar

We study the fundamental problem of fairly allocating a set of indivisible goods among $n$ agents with additive valuations using the desirable fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an…

Computer Science and Game Theory · Computer Science 2023-07-25 Hannaneh Akrami , Jugal Garg

We consider allocations of a set of $m$ indivisible goods to $n$ agents of equal entitlements that have valuations from the class XOS. A previous sequence of works showed allocations that obtain an $\alpha$-approximation for the maximin…

Computer Science and Game Theory · Computer Science 2026-05-12 Uriel Feige , Vadim Grinberg

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divisible and indivisible settings. Our emphasis is on the case where the goods are indivisible…

Computer Science and Game Theory · Computer Science 2017-04-12 Alireza Farhadi , Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Sebastien Lahaie , David Pennock , Masoud Seddighin , Saeed Seddighin , Hadi Yami
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