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相关论文: Truthful Fair Division without Free Disposal

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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…

计算机科学与博弈论 · 计算机科学 2020-01-01 Erel Segal-Halevi , Warut Suksompong

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

计算机科学与博弈论 · 计算机科学 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

Cake cutting is a classic model for studying fair division of a heterogeneous, divisible resource among agents with individual preferences. Addressing cake division under a typical requirement that each agent must receive a connected piece…

计算机科学与博弈论 · 计算机科学 2023-04-28 Siddharth Barman , Pooja Kulkarni

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

计算机科学与博弈论 · 计算机科学 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

计算机科学与博弈论 · 计算机科学 2024-08-05 Ankang Sun , Bo Chen

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

Fairly dividing a set of indivisible resources to a set of agents is of utmost importance in some applications. However, after an allocation has been implemented the preferences of agents might change and envy might arise. We study the…

计算机科学与博弈论 · 计算机科学 2022-02-04 Niclas Boehmer , Robert Bredereck , Klaus Heeger , Dušan Knop , Junjie Luo

A perfectly divisible cake is to be divided among a group of agents. Each agent is entitled to a share between zero and one, and these entitlements are compatible in that they sum to one. The mediator does not know the preferences of the…

理论经济学 · 经济学 2025-08-13 Florian Brandl , Andrew Mackenzie

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

计算机科学与博弈论 · 计算机科学 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

计算机科学与博弈论 · 计算机科学 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

We design a mechanism for Fair and Efficient Distribution of Resources (FEDoR) in the presence of strategic agents. We consider a multiple-instances, Bayesian setting, where in each round the preference of an agent over the set of resources…

计算机科学与博弈论 · 计算机科学 2016-09-28 Evgenia Christoforou , Antonio Fernández Anta , Agustín Santos

We study a resource allocation setting where $m$ discrete items are to be divided among $n$ agents with additive utilities, and the agents' utilities for individual items are drawn at random from a probability distribution. Since common…

计算机科学与博弈论 · 计算机科学 2023-03-20 Pasin Manurangsi , Warut Suksompong

The classic cake-cutting problem provides a model for addressing the fair and efficient allocation of a divisible, heterogeneous resource among agents with distinct preferences. Focusing on a standard formulation of cake cutting, in which…

机器学习 · 计算机科学 2021-11-30 Mohammad Ghodsi , Amirmahdi Mirfakhar

We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods…

计算机科学与博弈论 · 计算机科学 2021-01-28 Xiaohui Bei , Zihao Li , Jinyan Liu , Shengxin Liu , Xinhang Lu

This paper studies fair division of divisible and indivisible items among agents whose cardinal preferences are not necessarily monotone. We establish the existence of fair divisions and develop approximation algorithms to compute them. We…

计算机科学与博弈论 · 计算机科学 2026-01-26 Siddharth Barman , Paritosh Verma

In the classic problem of fair cake-cutting, a single interval ("cake") has to be divided among n agents with different value measures, giving each agent a single sub-interval with a value of at least 1/n of the total. This paper studies a…

组合数学 · 数学 2020-06-19 Erel Segal-Halevi

We study the fair allocation of indivisible resources among agents. Most prior work focuses on fairness and/or efficiency among agents. However, the allocator, as the resource owner, may also be involved in many scenarios (e.g., government…

计算机科学与博弈论 · 计算机科学 2025-06-10 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

A well-regarded fairness notion when dividing indivisible chores is envy-freeness up to one item (EF1), which requires that pairwise envy can be eliminated by the removal of a single item. While an EF1 and Pareto optimal (PO) allocation of…

计算机科学与博弈论 · 计算机科学 2025-05-16 Hadi Hosseini , Joshua Kavner , Tomasz Wąs , Lirong Xia

This paper extends the classic cake-cutting problem to a situation in which the "cake" is divided among families. Each piece of cake is owned and used simultaneously by all members of the family. A typical example of such a cake is land. We…

计算机科学与博弈论 · 计算机科学 2019-08-12 Erel Segal-Halevi , Shmuel Nitzan

Using a lab experiment, we investigate the real-life performance of envy-free and proportional cake-cutting procedures with respect to fairness and preference manipulation. We find that envy-free procedures, in particular Selfridge-Conway,…

计算机科学与博弈论 · 计算机科学 2022-06-01 Maria Kyropoulou , Josué Ortega , Erel Segal-Halevi