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A major open question in fair allocation of indivisible items is whether there always exists an allocation of chores that is Pareto optimal (PO) and envy-free up to one item (EF1). We answer this question affirmatively for the natural class…

Computer Science and Game Theory · Computer Science 2022-02-04 Soroush Ebadian , Dominik Peters , Nisarg Shah

We study fairness in the context of feature-based price discrimination in monopoly markets. We propose a new notion of individual fairness, namely, \alpha-fairness, which guarantees that individuals with similar features face similar…

Computer Science and Game Theory · Computer Science 2022-02-28 Shantanu Das , Swapnil Dhamal , Ganesh Ghalme , Shweta Jain , Sujit Gujar

We introduce and analyze new envy-based fairness concepts for agents with weights that quantify their entitlements in the allocation of indivisible items. We propose two variants of weighted envy-freeness up to one item (WEF1): strong,…

Artificial Intelligence · Computer Science 2021-08-18 Mithun Chakraborty , Ayumi Igarashi , Warut Suksompong , Yair Zick

Task allocation problems have traditionally focused on cost optimization. However, more and more attention is being given to cases in which cost should not always be the sole or major consideration. In this paper we study a fair task…

Artificial Intelligence · Computer Science 2016-12-08 Qing Chuan Ye , Yingqian Zhang , Rommert Dekker

We initiate the study of computing envy-free allocations of indivisible items in the extension setting, i.e., when some part of the allocation is fixed and the task is to allocate the remaining items. Given the known NP-hardness of the…

Computer Science and Game Theory · Computer Science 2025-03-04 Argyrios Deligkas , Eduard Eiben , Robert Ganian , Tiger-Lily Goldsmith , Stavros D. Ioannidis

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

In the assignment problem, a set of items must be allocated to unit-demand agents who express ordinal preferences (rankings) over the items. In the assignment problem with priorities, agents with higher priority are entitled to their…

Computer Science and Game Theory · Computer Science 2023-02-01 Zeyu Shen , Zhiyi Wang , Xingyu Zhu , Brandon Fain , Kamesh Munagala

Our work studies the fair allocation of indivisible items to a set of agents, and falls within the scope of establishing improved approximation guarantees. It is well known by now that the classic solution concepts in fair division, such as…

Computer Science and Game Theory · Computer Science 2023-08-10 Evangelos Markakis , Christodoulos Santorinaios

We study the fundamental problem of fairly dividing a set of indivisible goods among agents with additive valuations. Here, envy-freeness up to any good (EFX) is a central fairness notion and resolving its existence is regarded as one of…

Computer Science and Game Theory · Computer Science 2026-02-13 Hannaneh Akrami , Ryoga Mahara , Kurt Mehlhorn , Nidhi Rathi

We study the allocation of indivisible goods under conflicting constraints, represented by a graph. In this framework, vertices correspond to goods and edges correspond to conflicts between a pair of goods. Each agent is allocated an…

Computer Science and Game Theory · Computer Science 2025-06-18 Ayumi Igarashi , Pasin Manurangsi , Hirotaka Yoneda

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

Consider costly and time-consuming tasks that add up to the success of a project, and must be fitted into a given time-frame. This is an instance of the classic budgeted maximization (knapsack) problem, which admits an FPTAS. Now assume an…

Computer Science and Game Theory · Computer Science 2026-04-10 Ilan Doron-Arad , Hadas Shachnai , Gilad Shmerler , Inbal Talgam-Cohen

We study a discrete fair division problem where $n$ agents have additive valuation functions over a set of $m$ goods. We focus on the well-known $\alpha$-EFX fairness criterion, according to which the envy of an agent for another agent is…

Computer Science and Game Theory · Computer Science 2026-02-10 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

We investigate the tradeoffs between fairness and efficiency when allocating indivisible items over time. Suppose T items arrive over time and must be allocated upon arrival, immediately and irrevocably, to one of n agents. Agent i assigns…

Computer Science and Game Theory · Computer Science 2020-05-18 David Zeng , Alexandros Psomas

We study the problem of determining an envy-free allocation of indivisible goods among multiple agents with additive valuations. EFX, which stands for envy-freeness up to any good, is a well-studied relaxation of the envy-free allocation…

Computer Science and Game Theory · Computer Science 2025-01-03 Pratik Ghosal , Vishwa Prakash HV , Prajakta Nimbhorkar , Nithin Varma

We study fair allocation of indivisible chores to agents under budget constraints, where each chore has an objective size and disutility. This model captures scenarios where a set of chores need to be divided among agents with limited time,…

Computer Science and Game Theory · Computer Science 2024-11-01 Edith Elkind , Ayumi Igarashi , Nicholas Teh

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

Linear contracts are ubiquitous in practice, yet optimal contract theory often prescribes complex, nonlinear structures. We provide a distributional robustness justification for linear contracts. We study a principal-agent problem where the…

Computer Science and Game Theory · Computer Science 2026-04-28 Shiliang Zuo

When agents interact with people as part of a team, fairness becomes an important factor. Prior work has proposed fairness metrics based on teammates' capabilities for task allocation within human-agent teams. However, most metrics only…

Human-Computer Interaction · Computer Science 2025-05-23 Mai Lee Chang , Kim Baraka , Greg Trafton , Zach Lalu Vazhekatt , Andrea Lockerd Thomaz

We consider a fair division model in which agents have general valuations for bundles of indivisible items. We propose two new axiomatic properties for allocations in this model: EF1+- and EFX+-. We compare these with the existing EF1 and…

Computer Science and Game Theory · Computer Science 2020-06-24 Martin Aleksandrov