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The problem of allocating indivisible resources to agents arises in a wide range of domains, including treatment distribution and social support programs. An important goal in algorithm design for this problem is fairness, where the focus…

计算机科学与博弈论 · 计算机科学 2026-02-17 Niclas Boehmer , Luca Kreisel

This paper explores the problem of fair assignment on Multi-Stage graphs. A multi-stage graph consists of nodes partitioned into $K$ disjoint sets (stages) structured as a sequence of weighted bipartite graphs formed across adjacent stages.…

多智能体系统 · 计算机科学 2025-08-20 Vibulan J , Swapnil Dhamal , Shweta Jain

We study the classic problem of dividing a collection of indivisible resources in a fair and efficient manner among a set of agents having varied preferences. Pareto optimality is a standard notion of economic efficiency, which states that…

计算机科学与博弈论 · 计算机科学 2023-07-25 Ioannis Caragiannis , Kristoffer Arnsfelt Hansen , Nidhi Rathi

We study the problem of allocating a set of indivisible chores to three agents, among whom two have additive cost functions, in a fair manner. Two fairness notions under consideration are envy-freeness up to any chore (EFX) and a relaxed…

计算机科学与博弈论 · 计算机科学 2022-11-30 Lang Yin , Ruta Mehta

We propose a fair and efficient solution for assigning agents to m posts subject to congestion, when agents care about both their post and its congestion. Examples include assigning jobs to busy servers, students to crowded schools or…

理论经济学 · 经济学 2024-02-23 Anna Bogomolnaia , Herve Moulin

We consider the situation where multiple transportation service providers cooperate to offer an integrated multi-modal platform to enhance the convenience to the passengers through ease in multi-modal journey planning, payment, and first…

系统与控制 · 电气工程与系统科学 2022-06-29 Yuntian Deng , Shiping Shao , Archak Mittal , Richard Twumasi-Boakye , James Fishelson , Abhishek Gupta , Ness B. Shroff

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

计算机科学与博弈论 · 计算机科学 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

This paper addresses one of the most challenging issues in designing an efficient and sustainable ridesharing service: ridesharing market design. We formulate it as a fair cost allocation problem through the lens of the cooperative game…

计算机科学与博弈论 · 计算机科学 2019-02-21 Wei Lu , Luca Quadrifoglio

We present a simple local search algorithm for computing EFX (envy-free up to any good) allocations of $m$ indivisible goods among $n$ agents with additive valuations. EFX is a compelling fairness notion, and whether such allocations always…

计算机科学与博弈论 · 计算机科学 2025-10-08 Simina Brânzei

We study the traffic routing game among a large number of selfish drivers over a traffic network. We consider a specific scenario where the strategic drivers can be classified into teams, where drivers in the same team have identical payoff…

最优化与控制 · 数学 2019-10-03 Ali Reza Pedram , Takashi Tanaka

In cost sharing games with delays, a set of agents jointly allocates a finite subset of resources. Each resource has a fixed cost that has to be shared by the players, and each agent has a nonshareable player-specific delay for each…

计算机科学与博弈论 · 计算机科学 2018-03-01 Tobias Harks , Martin Hoefer , Anja Huber , Manuel Surek

We consider the problem of allocating a distribution of items to $n$ recipients where each recipient has to be allocated a fixed, prespecified fraction of all items, while ensuring that each recipient does not experience too much envy. We…

计算机科学与博弈论 · 计算机科学 2022-10-03 Steven Yin , Christian Kroer

House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

We consider the house allocation problem, where $m$ houses are to be assigned to $n$ agents so that each agent gets exactly one house. We present a polynomial-time algorithm that determines whether an envy-free assignment exists, and if so,…

计算机科学与博弈论 · 计算机科学 2019-08-16 Jiarui Gan , Warut Suksompong , Alexandros A. Voudouris

The classic house allocation problem is primarily concerned with finding a matching between a set of agents and a set of houses that guarantees some notion of economic efficiency (e.g. utilitarian welfare). While recent works have shifted…

计算机科学与博弈论 · 计算机科学 2024-07-08 Hadi Hosseini , Medha Kumar , Sanjukta Roy

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 distributing a set of indivisible items among agents with additive valuations in a $\mathit{fair}$ manner. The fairness notion under consideration is Envy-freeness up to any item (EFX). Despite significant efforts by…

计算机科学与博弈论 · 计算机科学 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

Several fairness concepts have been proposed recently in attempts to approximate envy-freeness in settings with indivisible goods. Among them, the concept of envy-freeness up to any item (EFX) is arguably the closest to envy-freeness.…

计算机科学与博弈论 · 计算机科学 2019-02-13 Ioannis Caragiannis , Nick Gravin , Xin Huang

We consider the age-old problem of allocating items among different agents in a way that is efficient and fair. Two papers, by Dolev et al. and Ghodsi et al., have recently studied this problem in the context of computer systems. Both…

计算机科学与博弈论 · 计算机科学 2012-04-20 Avital Gutman , Noam Nisan

We study the efficiency of fair allocations using the well-studied price of fairness concept, which quantitatively measures the worst-case efficiency loss when imposing fairness constraints. Previous works provided partial results on the…

计算机科学与博弈论 · 计算机科学 2024-01-04 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao , Yichen Tao