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The leximin solution -- which selects an allocation that maximizes the minimum utility, then the second minimum utility, and so forth -- is known to provide EFX (envy-free up to any good) fairness guarantee in some contexts when allocating…

计算机科学与博弈论 · 计算机科学 2020-05-12 Xingyu Chen , Zijie Liu

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…

计算机科学与博弈论 · 计算机科学 2024-02-19 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

The real-world deployment of fair allocation algorithms usually involves a heterogeneous population of users, which makes it challenging for the users to get complete knowledge of the allocation except for their own bundles. Chan et al.…

计算机科学与博弈论 · 计算机科学 2023-08-31 Tianze Wei , Bo Li , Minming Li

Cake cutting is a classic model for studying fair division of a heterogeneous, divisible resource among agents with individual preferences. Addressing cake division under a typical requirement that each agent must receive a connected piece…

计算机科学与博弈论 · 计算机科学 2023-04-28 Siddharth Barman , Pooja Kulkarni

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…

计算机科学与博弈论 · 计算机科学 2024-08-05 Ankang Sun , Bo Chen

We introduce and formalize the notion of resource augmentation for maximin share (MMS) fairness for the allocation of indivisible goods. Given an instance with $n$ agents and $m$ goods, we ask how many copies of the goods should be added in…

计算机科学与博弈论 · 计算机科学 2026-02-27 Hannaneh Akrami , Siddharth Barman , Alon Eden , Michal Feldman , Amos Fiat , Yoav Gal-Tzur , Satyanand Rammohan , Aditi Sethia

We study the computational complexity of finding a competitive equilibrium (CE) with chores when agents have linear preferences. CE is one of the most preferred mechanisms for allocating a set of items among agents. CE with equal incomes…

计算机科学与博弈论 · 计算机科学 2022-05-24 Bhaskar Ray Chaudhury , Jugal Garg , Peter McGlaughlin , Ruta Mehta

Fairly dividing a set of indivisible resources to a set of agents is of utmost importance in some applications. However, after an allocation has been implemented the preferences of agents might change and envy might arise. We study the…

计算机科学与博弈论 · 计算机科学 2022-02-04 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Dušan Knop , Junjie Luo

Equitable allocation of indivisible items involves partitioning the items among agents such that everyone derives (almost) equal utility. We consider the approximate notion of \textit{equitability up to one item} (EQ1) and focus on the…

计算机科学与博弈论 · 计算机科学 2025-08-22 Hadi Hosseini , Aditi Sethia

We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

计算机科学与博弈论 · 计算机科学 2024-05-08 Yushi Bai , Paul Gölz

We study the problem of allocating indivisible goods among n agents in a fair manner. For this problem, maximin share (MMS) is a well-studied solution concept which provides a fairness threshold. Specifically, maximin share is defined as…

计算机科学与博弈论 · 计算机科学 2017-11-22 Siddharth Barman , Arpita Biswas , Sanath Kumar Krishnamurthy , Y. Narahari

We initiate the study of fair distribution of delivery tasks among a set of agents wherein delivery jobs are placed along the vertices of a graph. Our goal is to fairly distribute delivery costs (modeled as a submodular function) among a…

计算机科学与博弈论 · 计算机科学 2025-06-23 Hadi Hosseini , Shivika Narang , Tomasz Wąs

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…

计算机科学与博弈论 · 计算机科学 2026-02-13 Sushmita Gupta , Pallavi Jain , Sanjay Seetharaman , Meirav Zehavi

In fair division of indivisible items, domain restriction has played a key role in escaping from negative results and providing structural insights into the computational and axiomatic boundaries of fairness. One notable subdomain of…

计算机科学与博弈论 · 计算机科学 2024-05-01 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

计算机科学与博弈论 · 计算机科学 2025-09-10 Yuanyuan Wang , Tianze Wei

We study the fair allocation of indivisible goods and chores under ordinal valuations for agents with unequal entitlements. We show the existence and polynomial time computation of weighted necessarily proportional up to one item…

计算机科学与博弈论 · 计算机科学 2024-01-03 Vishwa Prakash H. V. , Prajakta Nimbhorkar

We study the fair allocation of indivisible goods among agents with additive valuations. The fair division literature has traditionally focused on two broad classes of fairness notions: envy-based notions and share-based notions. Within the…

计算机科学与博弈论 · 计算机科学 2026-04-24 Hannaneh Akrami , Timo Reichert

In a web-based review platform, papers from various research fields must be assigned to a group of reviewers. Each paper has an inherent cost, which represents the effort required for reading and evaluating it (e.g., the paper's length).…

计算机科学与博弈论 · 计算机科学 2026-03-20 Zehan Lin , Xiaowei Wu , Shengwei Zhou

We study the multi-party randomized communication complexity of computing a fair allocation of $m$ indivisible goods to $n < m$ equally entitled agents. We first consider MMS allocations, allocations that give every agent at least her…

计算机科学与博弈论 · 计算机科学 2024-07-11 Uriel Feige

We consider the problem of fair allocation of $m$ indivisible goods to $n$ agents with either subadditive or XOS valuations, in the arbitrary entitlement case. As fairness notions, we consider the anyprice share (APS) ex-post, and the…

计算机科学与博弈论 · 计算机科学 2025-03-14 Uriel Feige , Vadim Grinberg