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相关论文: Throw One's Cake --- and Have It Too

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Fair allocation of indivisible items among agents is a fundamental and extensively studied problem. However, fairness does not have a single universally accepted definition, leading to a variety of competing fairness notions. Some of these…

计算机科学与博弈论 · 计算机科学 2025-10-14 Jugal Garg , Eklavya Sharma

Fair machine learning works have been focusing on the development of equitable algorithms that address discrimination of certain groups. Yet, many of these fairness-aware approaches aim to obtain a unique solution to the problem, which…

机器学习 · 计算机科学 2021-12-14 Ana Valdivia , Javier Sánchez-Monedero , Jorge Casillas

To divide a cake into equal sized pieces most people use a knife and a mixture of luck and dexterity. These attempts are often met with varying success. Through precise geometric constructions performed with the knife replacing Euclid's…

历史与综述 · 数学 2021-07-13 Alexander Müller-Hermes

Cookies are enjoyed best when they are both crispy and soft. I investigate in which proportion the cookies are crispy and soft, and disentangle whether it makes them biscuits, cakes, or none of the above. I baked cookies for colleagues at…

太阳与恒星天体物理 · 物理学 2025-04-01 Sophie Rosu

Envy-free cake-cutting protocols procedurally divide an infinitely divisible good among a set of agents so that no agent prefers another's allocation to their own. These protocols are highly complex and difficult to prove correct. Recently,…

计算机科学与博弈论 · 计算机科学 2024-05-31 Noah Bertram , Tean Lai , Justin Hsu

We study the classic cake cutting problem from a mechanism design perspective, in particular focusing on deterministic mechanisms that are strategyproof and fair. We begin by looking at mechanisms that are non-wasteful and primarily show…

计算机科学与博弈论 · 计算机科学 2017-05-19 Vijay Menon , Kate Larson

One of the major concerns of targeting interventions on individuals in social welfare programs is discrimination: individualized treatments may induce disparities across sensitive attributes such as age, gender, or race. This paper…

计量经济学 · 经济学 2022-07-01 Davide Viviano , Jelena Bradic

We consider a classic many-to-one matching setting, where participants need to be assigned to teams based on the preferences of both sides. Unlike most of the matching literature, we aim to provide fairness not only to participants, but…

理论经济学 · 经济学 2025-09-30 Ayumi Igarashi , Naoyuki Kamiyama , Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

In the context of fair division, the concept of price of fairness has been introduced to quantify the loss of welfare when we have to satisfy some fairness condition. In other words, it is the price we have to pay to guarantee fairness.…

计算机科学与博弈论 · 计算机科学 2024-02-27 Karen Frilya Celine , Muhammad Ayaz Dzulfikar , Ivan Adrian Koswara

Austin's moving knife procedure was originally introduced to find a consensus division of an interval/circular cake between two agents, each of whom believes that they receive exactly half of the cake. We generalise this in two ways: we…

组合数学 · 数学 2025-09-26 Josef Hanke , Ana Rita Pires

We study the problem of fair classification within the versatile framework of Dwork et al. [ITCS '12], which assumes the existence of a metric that measures similarity between pairs of individuals. Unlike earlier work, we do not assume that…

机器学习 · 计算机科学 2018-11-29 Michael P. Kim , Omer Reingold , Guy N. Rothblum

We study the problem of allocating divisible resources among $n$ agents, hopefully in a fair and efficient manner. With the presence of strategic agents, additional incentive guarantees are also necessary, and the problem of designing fair…

计算机科学与博弈论 · 计算机科学 2025-04-25 Xiaohui Bei , Biaoshuai Tao , Jiajun Wu , Mingwei Yang

This study proposes a new efficiency requirement, a minimal almost weak Pareto principle, which says that x is socially better than y whenever the only one individual never prefers y to x, and all the others prefers x to y. Then, I show…

理论经济学 · 经济学 2025-01-20 Norihito Sakamoto

The cake-cutting problem involves dividing a heterogeneous, divisible resource fairly between $n$ agents. Br\^{a}nzei et al. [6] introduced {\em generalised cut and choose} (GCC) protocols, a formal model for representing cake-cutting…

计算机科学与博弈论 · 计算机科学 2021-08-10 Paul W. Goldberg , Ioana Iaru

We study a portioning setting in which a public resource such as time or money is to be divided among a given set of candidates, and each agent proposes a division of the resource. We consider two families of aggregation rules for this…

计算机科学与博弈论 · 计算机科学 2026-01-27 Edith Elkind , Matthias Greger , Patrick Lederer , Warut Suksompong , Nicholas Teh

We study the fair allocation of indivisible items under relevance constraints, where each agent has a set of relevant items and can only receive items that are relevant to them. While the relevance constraint has been studied in recent…

计算机科学与博弈论 · 计算机科学 2026-03-19 Ankang Sun , Ruijie Wang , Bo Li

Machine Learning (ML) algorithms shape our lives. Banks use them to determine if we are good borrowers; IT companies delegate them recruitment decisions; police apply ML for crime-prediction, and judges base their verdicts on ML. However,…

计算机科学与博弈论 · 计算机科学 2021-01-05 Omer Ben-Porat , Fedor Sandomirskiy , Moshe Tennenholtz

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

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 division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

计算机科学与博弈论 · 计算机科学 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam
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