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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

We study the fundamental problem of fairly allocating a multiset $\mathcal{M}$ of $t$ types of indivisible items among $d$ groups of agents, where all agents within a group have identical additive valuations. Gorantla et al. [GMV23] showed…

Computer Science and Game Theory · Computer Science 2026-03-09 Egor Gagushin , Marios Mertzanidis , Alexandros Psomas

In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be…

Computer Science and Game Theory · Computer Science 2024-11-19 Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong , Sheung Man Yuen

We study fair allocation of indivisible items, where the items are furnished with a set of conflicts, and agents are not permitted to receive conflicting items. This kind of constraint captures, for example, participating in events that…

Computer Science and Game Theory · Computer Science 2022-02-01 Halvard Hummel , Magnus Lie Hetland

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

Envy-freeness is a standard benchmark of fairness in resource allocation. Since it cannot always be satisfied when the resource consists of indivisible items even when there are two agents, the relaxations envy-freeness up to one item (EF1)…

Computer Science and Game Theory · Computer Science 2020-07-07 Warut Suksompong

In fair division problems, we are given a set $S$ of $m$ items and a set $N$ of $n$ agents with individual preferences, and the goal is to find an allocation of items among agents so that each agent finds the allocation fair. There are…

We study the fair allocation of a cake, which serves as a metaphor for a divisible resource, under the requirement that each agent should receive a contiguous piece of the cake. While it is known that no finite envy-free algorithm exists in…

Computer Science and Game Theory · Computer Science 2020-09-24 Paul W. Goldberg , Alexandros Hollender , Warut Suksompong

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 Envy-Free Incomplete Connected Fair Division, where exactly p vertices of an undirected graph must be allocated to agents such that each agent receives a connected share and does not envy another agent's share.…

Data Structures and Algorithms · Computer Science 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

In this work, we revisit the problem of fairly allocating a number of indivisible items that are located on a line to multiple agents. A feasible allocation requires that the allocated items to each agent are connected on the line. The…

Computer Science and Game Theory · Computer Science 2022-05-24 Ankang Sun , Bo Li

We study temporal fair division, whereby a set of agents are allocated a (possibly different) set of goods on each day for a period of days. We study this setting, as well as a number of its special cases formed by the restrictions to two…

Computer Science and Game Theory · Computer Science 2024-11-01 Benjamin Cookson , Soroush Ebadian , Nisarg Shah

In fair division applications, agents may have unequal entitlements reflecting their different contributions. Moreover, the contributions of agents may depend on the allocation itself. Previous fairness notions designed for agents with…

Computer Science and Game Theory · Computer Science 2023-01-31 Qishen Han , Biaoshuai Tao , Lirong Xia

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

Computer Science and Game Theory · Computer Science 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

Computer Science and Game Theory · Computer Science 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

Fair allocation of indivisible goods has attracted extensive attention over the last two decades, yielding numerous elegant algorithmic results and producing challenging open questions. The problem becomes much harder in the presence of…

Computer Science and Game Theory · Computer Science 2023-02-01 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We study the problem of allocating indivisible chores among agents with additive cost functions in a fair and efficient manner. A major open question in this area is whether there always exists an allocation that is envy-free up to one…

Computer Science and Game Theory · Computer Science 2025-11-27 Ryoga Mahara

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

We here address the problem of fairly allocating indivisible goods or chores to $n$ agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up…

Computer Science and Game Theory · Computer Science 2023-12-19 MohammadTaghi Hajiaghayi , Max Springer , Hadi Yami

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
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