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We continue and extend previous work on the parameterized complexity analysis of the NP-hard Stable Roommates with Ties and Incomplete Lists problem, thereby strengthening earlier results both on the side of parameterized hardness as well…

计算复杂性 · 计算机科学 2021-03-09 Robert Bredereck , Klaus Heeger , Dušan Knop , Rolf Niedermeier

We introduce and study the problem of designing optimal contracts under fairness constraints on the task assignments and compensations. We adopt the notion of envy-free (EF) and its relaxations, $\epsilon$-EF and envy-free up to one item…

计算机科学与博弈论 · 计算机科学 2025-07-23 Matteo Castiglioni , Junjie Chen , Yingkai Li

When allocating a set of indivisible items among agents, the ideal condition of envy-freeness cannot always be achieved. Envy-freeness up to any good (EFX), and envy-freeness with $k$ hidden items (HEF-$k$) are two very compelling…

计算机科学与博弈论 · 计算机科学 2023-01-05 Justin Payan , Rik Sengupta , Vignesh Viswanathan

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

机器学习 · 计算机科学 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

计算机科学与博弈论 · 计算机科学 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah

Two-sided matching, such as matching between students and schools, has been applied to various aspects of real life and has been the subject of much research, however, it has been plagued by the fact that efficiency and fairness are…

计算机科学与博弈论 · 计算机科学 2025-08-22 Ryota Takeshima , Kei Kimura , Ayumu Kuroki , Temma Wakasugi , Makoto Yokoo

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…

计算机科学与博弈论 · 计算机科学 2023-02-01 Zeyu Shen , Zhiyi Wang , Xingyu Zhu , Brandon Fain , Kamesh Munagala

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

数据结构与算法 · 计算机科学 2025-08-05 Garret Castro

The problem of maximizing the $p$-th power of a $p$-norm over a halfspace-presented polytope in $\R^d$ is a convex maximization problem which plays a fundamental role in computational convexity. It has been shown in 1986 that this problem…

计算复杂性 · 计算机科学 2013-07-25 Christian Knauer , Stefan König , Daniel Werner

Stability is crucial in matching markets, yet in many real-world settings - from hospital residency allocations to roommate assignments - full stability is either impossible to achieve or can come at the cost of leaving many agents…

计算机科学与博弈论 · 计算机科学 2026-01-21 Frederik Glitzner , David Manlove

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,…

人工智能 · 计算机科学 2021-08-18 Mithun Chakraborty , Ayumi Igarashi , Warut Suksompong , Yair Zick

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…

计算机科学与博弈论 · 计算机科学 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

In the Hospitals/Residents problem, every hospital has an upper quota that limits the number of residents assigned to it. While, in some applications, each hospital also has a lower quota for the number of residents it receives. In this…

计算机科学与博弈论 · 计算机科学 2021-11-01 Changyong Hu , Vijay K. Garg

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…

计算机科学与博弈论 · 计算机科学 2024-03-08 Susobhan Bandopadhyay , Aritra Banik , Sushmita Gupta , Pallavi Jain , Abhishek Sahu , Saket Saurabh , Prafullkumar Tale

When computing stable matchings, it is usually assumed that the preferences of the agents in the matching market are fixed. However, in many realistic scenarios, preferences change over time. Consequently, an initially stable matching may…

计算机科学与博弈论 · 计算机科学 2022-11-09 Niclas Boehmer , Klaus Heeger , Rolf Niedermeier

We study approximation algorithms for two natural generalizations of the Maximum Quadratic Assignment Problem (MaxQAP). In the Maximum List-Restricted Quadratic Assignment Problem, each node in one partite set may only be matched to nodes…

数据结构与算法 · 计算机科学 2026-03-06 Jiratchaphat Nanta , Vorapong Suppakitpaisarn , Piyashat Sripratak

In the stable marriage and roommates problems, a set of agents is given, each of them having a strictly ordered preference list over some or all of the other agents. A matching is a set of disjoint pairs of mutually accepted agents. If any…

离散数学 · 计算机科学 2016-06-01 Ágnes Cseh , David F. Manlove

We study parameterized approximability of three optimization problems related to stable matching: (1) Min-BP-SMI: Given a stable marriage instance and a number k, find a size-at-least-k matching that minimizes the number $\beta$ of blocking…

计算机科学与博弈论 · 计算机科学 2025-08-15 Jiehua Chen , Sanjukta Roy , Sofia Simola

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

We study the problem of fairly allocating indivisible goods between groups of agents using the recently introduced relaxations of envy-freeness. We consider the existence of fair allocations under different assumptions on the valuations of…

计算机科学与博弈论 · 计算机科学 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris