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相关论文: Envy-free matchings with cost-controlled quotas

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We consider the problem of matchings under two-sided preferences in the presence of maximum as well as minimum quota requirements for the agents. This setting, studied as the Hospital Residents with Lower Quotas (HRLQ) in literature, models…

数据结构与算法 · 计算机科学 2020-05-19 Prem Krishnaa , Girija Limaye , Meghana Nasre , Prajakta Nimbhorkar

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

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…

计算机科学与博弈论 · 计算机科学 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

The Hospital Residents setting models important problems like school choice, assignment of undergraduate students to degree programs, among many others. In this setting, fixed quotas are associated with the programs that limit the number of…

数据结构与算法 · 计算机科学 2025-04-01 Haricharan Balasundaram , Girija Limaye , Meghana Nasre , Abhinav Raja

We consider the problem of assigning agents to resources under the two-sided preference list model where resources specify an upper-quota and a lower-quota, that is, respectively the maximum and minimum number of agents that can be assigned…

数据结构与算法 · 计算机科学 2022-05-20 Girija Limaye

Ensuring fairness while limiting costs, such as transportation or storage, is an important challenge in resource allocation, yet most work has focused on cost minimization without fairness or fairness without explicit cost considerations.…

计算机科学与博弈论 · 计算机科学 2026-01-19 Eva Deltl

We consider the Hospitals/Residents (HR) problem in the presence of ties in hospital preferences. Among the three notions of stability, namely weak stability, strong stability, and super-stability, we focus on the notion of strong…

数据结构与算法 · 计算机科学 2026-04-15 Keshav Ranjan , Meghana Nasre , Prajakta Nimbhorkar

We study envy-free pricing mechanisms in matching markets with $m$ items and $n$ budget constrained buyers. Each buyer is interested in a subset of the items on sale, and she appraises at some single-value every item in her preference-set.…

计算机科学与博弈论 · 计算机科学 2016-10-31 Riccardo Colini-Baldeschi , Stefano Leonardi , Qiang Zhang

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 study the envy free pricing problem faced by a seller who wishes to maximize revenue by setting prices for bundles of items. If there is an unlimited supply of items and agents are single minded then we show that finding the revenue…

计算机科学与博弈论 · 计算机科学 2016-09-08 Amos Fiat , Amiram Wingarten

We study the envy-free house allocation problem when agents have uncertain preferences over items and consider several well-studied preference uncertainty models. The central problem that we focus on is computing an allocation that has the…

计算机科学与博弈论 · 计算机科学 2023-12-19 Haris Aziz , Isaiah Iliffe , Bo Li , Angus Ritossa , Ankang Sun , Mashbat Suzuki

While every instance of the Hospitals/Residents problem admits a stable matching, the problem with lower quotas (HR-LQ) has instances with no stable matching. For such an instance, we expect the existence of an envy-free matching, which is…

计算机科学与博弈论 · 计算机科学 2017-09-21 Yu Yokoi

We analyze the run-time complexity of computing allocations that are both fair and maximize the utilitarian social welfare, defined as the sum of agents' utilities. We focus on two tractable fairness concepts: envy-freeness up to one item…

计算机科学与博弈论 · 计算机科学 2024-09-23 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

计算机科学与博弈论 · 计算机科学 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

Massive surges of enrollments in courses have led to a crisis in several computer science departments - not only is the demand for certain courses extremely high from majors, but the demand from non-majors is also very high. Much of the…

数据结构与算法 · 计算机科学 2026-02-26 Arpita Biswas , Yiduo Ke , Samir Khuller , Quanquan C. Liu

The current practice of envy-free rent division, lead by the fair allocation website Spliddit, is based on quasi-linear preferences. These preferences rule out agents' well documented financial constraints. To resolve this issue we consider…

计算机科学与博弈论 · 计算机科学 2020-02-11 Rodrigo A. Velez

We consider the problem of reforming an envy-free matching when each agent is assigned a single item. Given an envy-free matching, we consider an operation to exchange the item of an agent with an unassigned item preferred by the agent that…

计算机科学与博弈论 · 计算机科学 2022-07-07 Takehiro Ito , Yuni Iwamasa , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yuta Nozaki , Yoshio Okamoto , Kenta Ozeki

Motivated by the serious problem that hospitals in rural areas suffer from a shortage of residents, we study the Hospitals/Residents model in which hospitals are associated with lower quotas and the objective is to satisfy them as much as…

计算机科学与博弈论 · 计算机科学 2022-01-26 Hiromichi Goko , Kazuhisa Makino , Shuichi Miyazaki , Yu Yokoi

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

In this paper, we consider the Hospital Residents problem (HR) and the Hospital Residents problem with Lower Quotas (HRLQ). In this model with two sided preferences, stability is a well accepted notion of optimality. However, in the…

计算机科学与博弈论 · 计算机科学 2018-05-04 Krishnapriya A M , Meghana Nasre , Prajakta Nimbhorkar , Amit Rawat
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