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相关论文: PROPm Allocations of Indivisible Goods to Multiple…

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We study the problem of fair allocation for indivisible goods. We use the the maxmin share paradigm introduced by Budish as a measure for fairness. Procaccia and Wang (EC'14) were first to investigate this fundamental problem in the…

计算机科学与博弈论 · 计算机科学 2017-07-25 Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Hadi Yami

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

计算机科学与博弈论 · 计算机科学 2025-12-08 Xiaolin Bu , Biaoshuai Tao

We investigate the problem of random assignment of indivisible goods, in which each agent has an ordinal preference and a constraint. Our goal is to characterize the conditions under which there always exists a random assignment that…

计算机科学与博弈论 · 计算机科学 2024-12-30 Yasushi Kawase , Hanna Sumita , Yu Yokoi

We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

计算机科学与博弈论 · 计算机科学 2024-05-08 Yushi Bai , Paul Gölz

We study the allocation of indivisible goods among groups of agents using well-known fairness notions such as envy-freeness and proportionality. While these notions cannot always be satisfied, we provide several bounds on the optimal…

计算机科学与博弈论 · 计算机科学 2022-08-24 Pasin Manurangsi , Warut Suksompong

We study the fair allocation of indivisible goods among a group of agents, aiming to limit the envy between any two agents. The central open problem in this literature, which has proven to be extremely challenging, is regarding the…

计算机科学与博弈论 · 计算机科学 2025-04-22 Arash Ashuri , Vasilis Gkatzelis , Alkmini Sgouritsa

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

Incorporating fairness criteria in optimization problems comes at a certain cost, which is measured by the so-called price of fairness. Here we consider the allocation of indivisible goods. For envy-freeness as fairness criterion it is…

计算机科学与博弈论 · 计算机科学 2014-06-24 Sascha Kurz

We study the fair allocation of indivisible goods and chores under ordinal valuations for agents with unequal entitlements. We show the existence and polynomial time computation of weighted necessarily proportional up to one item…

计算机科学与博弈论 · 计算机科学 2024-01-03 Vishwa Prakash H. V. , Prajakta Nimbhorkar

We study the fundamental problem of fairly allocating a multiset $\mathcal{M}$ of $t$ types of indivisible items among $d$ groups of agents, where all agents within a group have identical additive valuations. Gorantla et al. [GMV23] showed…

计算机科学与博弈论 · 计算机科学 2026-03-09 Egor Gagushin , Marios Mertzanidis , Alexandros Psomas

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 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

This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

机器学习 · 计算机科学 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

We consider allocating indivisible goods with provable fairness guarantees that are satisfied regardless of which bundle of items each agent receives. Symmetrical allocations of this type are known to exist for divisible resources, such as…

计算机科学与博弈论 · 计算机科学 2024-06-21 Connor Johnston , Aleksandr M. Kazachkov

We consider the problem of allocating heterogeneous and indivisible goods among strategic agents, with preferences over subsets of goods, when there is no medium of exchange. This model captures the well studied problem of fair allocation…

计算机科学与博弈论 · 计算机科学 2026-04-27 Moshe Babaioff , Noam Manaker Morag

We study the problem of distributing a set of indivisible items among agents with additive valuations in a $\mathit{fair}$ manner. The fairness notion under consideration is Envy-freeness up to any item (EFX). Despite significant efforts by…

计算机科学与博弈论 · 计算机科学 2020-06-02 Bhaskar Ray Chaudhury , Jugal Garg , Kurt Mehlhorn

Given a set of $m$ agents and a set of $n$ items, where agent $A$ has utility $u_{A,i}$ for item $i$, our goal is to allocate items to agents to maximize fairness. Specifically, the utility of an agent is the sum of its utilities for items…

数据结构与算法 · 计算机科学 2009-01-05 Deeparnab Chakrabarty , Julia Chuzhoy , Sanjeev Khanna

We study the problem of finding an envy-free allocation of indivisible goods among agents with additive valuations. We focus on the fairness notion of envy-freeness up to any good (EFX). A central open question in fair division is whether…

计算机科学与博弈论 · 计算机科学 2025-05-26 Vishwa Prakash HV , Pratik Ghosal , Prajakta Nimbhorkar , Nithin Varma

We study the fair allocation of undesirable indivisible items, or chores. While the case of desirable indivisible items (or goods) is extensively studied, with many results known for different notions of fairness, less is known about the…

计算机科学与博弈论 · 计算机科学 2022-08-30 Umang Bhaskar , A. R. Sricharan , Rohit Vaish

We study truthful mechanisms for approximating the Maximin-Share (MMS) allocation of agents with additive valuations for indivisible goods. Algorithmically, constant factor approximations exist for the problem for any number of agents. When…

计算机科学与博弈论 · 计算机科学 2024-06-12 Ilan Reuven Cohen , Alon Eden , Talya Eden , Arsen Vasilyan