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We study the allocation of indivisible goods among groups of agents using well-known fairness notions such as envy-freeness and proportionality. While these notions cannot always be satisfied, we provide several bounds on the optimal…

Computer Science and Game Theory · Computer Science 2022-08-24 Pasin Manurangsi , Warut Suksompong

The problem of dividing resources fairly occurs in many practical situations and is therefore an important topic of study in economics. In this paper, we investigate envy-free divisions in the setting where there are multiple players in…

Computer Science and Game Theory · Computer Science 2020-01-17 Pasin Manurangsi , Warut Suksompong

We study no-money mechanisms for allocating indivisible items to strategic agents with additive preferences under a stochastic model. In this model, items' values are drawn from an underlying distribution and mechanisms are evaluated with…

Computer Science and Game Theory · Computer Science 2026-02-16 Daniel Halpern , Alexandros Psomas , Shirley Zhang

We study the problem of efficiently and fairly allocating a set of indivisible goods among agents with identical and additive valuations for the goods. The objective is to maximize the Nash social welfare, which is the geometric mean of the…

Data Structures and Algorithms · Computer Science 2022-01-06 Asei Inoue , Yusuke Kobayashi

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

Computer Science and Game Theory · Computer Science 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

The problem of fair division of indivisible goods has been receiving much attention recently. The prominent metric of envy-freeness can always be satisfied in the divisible goods setting (see for example \cite{BT95}), but often cannot be…

Computer Science and Game Theory · Computer Science 2022-10-26 Kevin Hsu

The classic cake-cutting problem provides a model for addressing fair and efficient allocation of a divisible, heterogeneous resource (metaphorically, the cake) among agents with distinct preferences. Focusing on a standard formulation of…

Computer Science and Game Theory · Computer Science 2021-05-21 Eshwar Ram Arunachaleswaran , Siddharth Barman , Rachitesh Kumar , Nidhi Rathi

We study the fair division of a collection of $m$ indivisible goods amongst a set of $n$ agents. Whilst envy-free allocations typically do not exist in the indivisible goods setting, envy-freeness can be achieved if some amount of a…

Computer Science and Game Theory · Computer Science 2019-12-06 Johannes Brustle , Jack Dippel , Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

In bandwidth allocation, competing agents wish to transmit data along paths of links in a network, and each agent's utility is equal to the minimum bandwidth she receives among all links in her desired path. Recent market mechanisms for…

Computer Science and Game Theory · Computer Science 2019-05-08 Benjamin Plaut

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

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…

Computer Science and Game Theory · Computer Science 2026-04-24 Hannaneh Akrami , Timo Reichert

Equitability is a well-studied fairness notion in fair division, where an allocation is equitable if all agents receive equal utility from their allocation. For indivisible items, an exactly equitable allocation may not exist, and a natural…

Computer Science and Game Theory · Computer Science 2025-05-12 Umang Bhaskar , Vishwa Prakash HV , Aditi Sethia , Rakshitha

We study several fairness notions in allocating indivisible chores (i.e., items with non-positive values) to agents who have additive and submodular cost functions. The fairness criteria we are concern with are envy-free up to any item…

Computer Science and Game Theory · Computer Science 2021-09-29 Ankang Sun , Bo Chen , Xuan Vinh Doan

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

Computer Science and Game Theory · Computer Science 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

We consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

Computer Science and Game Theory · Computer Science 2026-01-26 Moshe Babaioff , Yuval Grofman

We investigate the efficiency of fair allocations of indivisible goods using the well-studied price of fairness concept. Previous work has focused on classical fairness notions such as envy-freeness, proportionality, and equitability.…

Computer Science and Game Theory · Computer Science 2021-09-08 Xiaohui Bei , Xinhang Lu , Pasin Manurangsi , Warut Suksompong

We study a sequence of independent one-shot non-cooperative games where agents play equilibria determined by a tunable mechanism. Observing only equilibrium decisions, without parametric or distributional knowledge of utilities, we aim to…

Computer Science and Game Theory · Computer Science 2025-11-10 Luke Snow , Vikram Krishnamurthy

In the budget-feasible allocation problem, a set of items with varied sizes and values are to be allocated to a group of agents. Each agent has a budget constraint on the total size of items she can receive. The goal is to compute a…

Computer Science and Game Theory · Computer Science 2021-06-29 Jiarui Gan , Bo Li , Xiaowei Wu

We introduce a model of fair division with market values, where indivisible goods must be partitioned among agents with (additive) subjective valuations, and each good additionally has a market value. The market valuation can be viewed as a…

Computer Science and Game Theory · Computer Science 2024-10-31 Siddharth Barman , Soroush Ebadian , Mohamad Latifian , Nisarg Shah

Fair allocation of indivisible goods is a well-explored problem. Traditionally, research focused on individual fairness - are individual agents satisfied with their allotted share? - and group fairness - are groups of agents treated fairly?…

Computer Science and Game Theory · Computer Science 2023-02-15 Jonathan Scarlett , Nicholas Teh , Yair Zick