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We study how to fairly allocate a set of indivisible chores to a group of agents, where each agent $i$ has a non-negative weight $w_i$ that represents its obligation for undertaking the chores. We consider the fairness notion of weighted…

Computer Science and Game Theory · Computer Science 2023-01-20 Xiaowei Wu , Cong Zhang , Shengwei Zhou

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

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

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

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

We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

Computer Science and Game Theory · Computer Science 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

Computer Science and Game Theory · Computer Science 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

Fairness is essential for human society, contributing to stability and productivity. Similarly, fairness is also the key for many multi-agent systems. Taking fairness into multi-agent learning could help multi-agent systems become both…

Machine Learning · Computer Science 2019-11-01 Jiechuan Jiang , Zongqing Lu

In the standard model of fair allocation of resources to agents, every agent has some utility for every resource, and the goal is to assign resources to agents so that the agents' welfare is maximized. Motivated by job scheduling, interest…

Computer Science and Game Theory · Computer Science 2024-03-08 Susobhan Bandopadhyay , Aritra Banik , Sushmita Gupta , Pallavi Jain , Abhishek Sahu , Saket Saurabh , Prafullkumar Tale

We study how to optimally design selection mechanisms, accounting for agents' investment incentives. A principal wishes to allocate a resource of homogeneous quality to a heterogeneous population of agents. The principal commits to a…

Theoretical Economics · Economics 2025-11-11 Victor Augias , Eduardo Perez-Richet

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

We study a mechanism-design problem in which spiteful agents strive to not only maximize their rewards but also, contingent upon their own payoff levels, seek to lower the opponents' rewards. We characterize all individually rational (IR)…

Computer Science and Game Theory · Computer Science 2025-12-02 Aditya Aradhye , David Lagziel , Eilon Solan

When allocating indivisible items to agents, it is known that the only strategyproof mechanisms that satisfy a set of rather mild conditions are constrained serial dictatorships: given a fixed order over agents, at each step the designated…

Computer Science and Game Theory · Computer Science 2025-02-28 Sylvain Bouveret , Hugo Gilbert , Jérôme Lang , Guillaume Méroué

We study the problem of allocating homogeneous and indivisible objects among agents with money. In particular, we investigate the relationship between egalitarian-equivalence (Pazner and Schmeidler, 1978), as a fairness concept, and…

Theoretical Economics · Economics 2025-07-15 Hinata Kurashita , Ryosuke Sakai

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

Computer Science and Game Theory · Computer Science 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

We study a decision-maker's problem of finding optimal monetary incentive schemes for retention when faced with agents whose participation decisions (stochastically) depend on the incentive they receive. Our focus is on policies constrained…

Computer Science and Game Theory · Computer Science 2024-07-31 Daniel Freund , Chamsi Hssaine

Fairness has emerged as an important consideration in algorithmic decision-making. Unfairness occurs when an agent with higher merit obtains a worse outcome than an agent with lower merit. Our central point is that a primary cause of…

Machine Learning · Computer Science 2021-11-11 Ashudeep Singh , David Kempe , Thorsten Joachims

We study the problem of fairly allocating indivisible goods to groups of agents. Agents in the same group share the same set of goods even though they may have different preferences. Previous work has focused on unanimous fairness, in which…

Computer Science and Game Theory · Computer Science 2020-01-01 Erel Segal-Halevi , Warut Suksompong

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

Computer Science and Game Theory · Computer Science 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

Computer Science and Game Theory · Computer Science 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh