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相关论文: Maximin Fairness with Mixed Divisible and Indivisi…

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In the allocation of resources to a set of agents, how do fairness guarantees impact the social welfare? A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness…

计算机科学与博弈论 · 计算机科学 2020-11-03 Siddharth Barman , Umang Bhaskar , Nisarg Shah

We initiate the study of indivisible chore allocation for agents with asymmetric shares. The fairness concept we focus on is the weighted natural generalization of maxmin share: WMMS fairness and OWMMS fairness. We first highlight the fact…

计算机科学与博弈论 · 计算机科学 2019-06-19 Haris Aziz , Hau Chan , Bo Li

We study the problem of designing truthful and fair mechanisms when allocating a mixture of divisible and indivisible goods. We first show that there does not exist an EFM (envy-free for mixed goods) and truthful mechanism in general. This…

计算机科学与博弈论 · 计算机科学 2023-05-17 Zihao Li , Shengxin Liu , Xinhang Lu , Biaoshuai Tao

We study fair allocation of resources consisting of both divisible and indivisible goods to agents with additive valuations. When only divisible or indivisible goods exist, it is known that an allocation that achieves the maximum Nash…

计算机科学与博弈论 · 计算机科学 2025-09-03 Koichi Nishimura , Hanna Sumita

We initiate the work on fair and strategyproof allocation of indivisible chores. The fairness concept we consider in this paper is maxmin share (MMS) fairness. We consider three previously studied models of information elicited from the…

计算机科学与博弈论 · 计算机科学 2019-05-23 Haris Aziz , Bo Li , Xiaowei Wu

Allocating resources to individuals in a fair manner has been a topic of interest since the ancient times, with most of the early rigorous mathematical work on the problem focusing on infinitely divisible resources. Recently, there has been…

计算机科学与博弈论 · 计算机科学 2022-03-07 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros A. Voudouris

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divisible and indivisible settings. Our emphasis is on the case where the goods are indivisible…

We consider item allocation to individual agents who have additive valuations, in settings in which there are protected groups, and the allocation needs to give each protected group its "fair" share of the total welfare. Informally, within…

计算机科学与博弈论 · 计算机科学 2022-04-15 Uriel Feige , Yehonatan Tahan

We study the problem of fairly allocating indivisible goods to a set of agents with additive leveled valuations. A valuation function is called leveled if and only if bundles of larger size have larger value than bundles of smaller size.…

计算机科学与博弈论 · 计算机科学 2024-10-04 Mahyar Afshinmehr , Mehrafarin Kazemi , Kurt Mehlhorn

We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

计算机科学与博弈论 · 计算机科学 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

In fair division, equitability dictates that each participant receives the same level of utility. In this work, we study equitable allocations of indivisible goods among agents with additive valuations. While prior work has studied…

计算机科学与博弈论 · 计算机科学 2019-05-28 Rupert Freeman , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study the fair division of indivisible items. In the general model, the goal is to allocate $m$ indivisible items to $n$ agents while satisfying fairness criteria such as MMS, EF1, and EFX. We also study a recently-introduced graphical…

计算机科学与博弈论 · 计算机科学 2025-10-15 Kevin Hsu

We investigate the problem of fairly allocating indivisible goods among interested agents using the concept of maximin share. Procaccia and Wang showed that while an allocation that gives every agent at least her maximin share does not…

计算机科学与博弈论 · 计算机科学 2018-04-19 Warut Suksompong

We study the classic problem of fairly allocating a set of indivisible goods among a group of agents, and focus on the notion of approximate proportionality known as PROPm. Prior work showed that there exists an allocation that satisfies…

计算机科学与博弈论 · 计算机科学 2021-05-25 Artem Baklanov , Pranav Garimidi , Vasilis Gkatzelis , Daniel Schoepflin

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

计算机科学与博弈论 · 计算机科学 2025-02-17 George Christodoulou , Vasilis Christoforidis

Allocating resources to individuals in a fair manner has been a topic of interest since ancient times, with most of the early mathematical work on the problem focusing on resources that are infinitely divisible. Over the last decade, there…

计算机科学与博弈论 · 计算机科学 2023-06-22 Georgios Amanatidis , Haris Aziz , Georgios Birmpas , Aris Filos-Ratsikas , Bo Li , Hervé Moulin , Alexandros A. Voudouris , Xiaowei Wu

Fair division considers the allocation of scarce resources among agents in such a way that every agent gets a fair share. It is a fundamental problem in society and has received significant attention and rapid developments from the game…

计算机科学与博弈论 · 计算机科学 2024-08-13 Shengxin Liu , Xinhang Lu , Mashbat Suzuki , Toby Walsh

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

计算机科学与博弈论 · 计算机科学 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

We study fair and economically efficient allocation of indivisible goods among agents whose valuations are rank functions of matroids. Such valuations constitute a well-studied class of submodular functions (i.e., they exhibit a diminishing…

计算机科学与博弈论 · 计算机科学 2021-02-05 Siddharth Barman , Paritosh Verma

When allocating objects among agents with equal rights, people often evaluate the fairness of an allocation rule by comparing their received utilities to a benchmark share - a function only of her own valuation and the number of agents.…

计算机科学与博弈论 · 计算机科学 2023-02-02 Bo Li , Hervé Moulin , Ankang Sun , Yu Zhou