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相关论文: Optimal Bounds on the Price of Fairness for Indivi…

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In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be…

计算机科学与博弈论 · 计算机科学 2024-11-19 Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong , Sheung Man Yuen

We study envy-free allocations of indivisible goods to agents in settings where each agent is unaware of the goods allocated to other agents. In particular, we propose the maximin aware (MMA) fairness measure, which guarantees that every…

计算机科学与博弈论 · 计算机科学 2019-10-29 Hau Chan , Jing Chen , Bo Li , Xiaowei Wu

Fairly allocating indivisible goods is a frequently occurring task in everyday life. Given an initial allocation of the goods, we consider the problem of reforming it via a sequence of exchanges to attain fairness in the form of…

计算机科学与博弈论 · 计算机科学 2024-12-30 Sheung Man Yuen , Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong

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…

Envy-freeness up to any good (EFX) provides a strong and intuitive guarantee of fairness in the allocation of indivisible goods. But whether such allocations always exist or whether they can be efficiently computed remains an important open…

计算机科学与博弈论 · 计算机科学 2020-12-16 Hadi Hosseini , Sujoy Sikdar , Rohit Vaish , Lirong Xia

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 fair allocation of indivisible items, where the items are furnished with a set of conflicts, and agents are not permitted to receive conflicting items. This kind of constraint captures, for example, participating in events that…

计算机科学与博弈论 · 计算机科学 2022-02-01 Halvard Hummel , Magnus Lie Hetland

We consider the fair division problem of indivisible items. It is well-known that an envy-free allocation may not exist, and a relaxed version of envy-freeness, envy-freeness up to one item (EF1), has been widely considered. In an EF1…

计算机科学与博弈论 · 计算机科学 2022-11-30 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

The classic house allocation problem is primarily concerned with finding a matching between a set of agents and a set of houses that guarantees some notion of economic efficiency (e.g. utilitarian welfare). While recent works have shifted…

计算机科学与博弈论 · 计算机科学 2024-07-08 Hadi Hosseini , Medha Kumar , Sanjukta Roy

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

We study the problem of fairly allocating indivisible goods when limited sharing is allowed, that is, each good may be allocated to up to $k$ agents, while incurring a cost for sharing. While classic maximin share (MMS) allocations may not…

计算机科学与博弈论 · 计算机科学 2026-03-05 Hana Salavcova , Martin Černý , Arpita Biswas

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

计算机科学与博弈论 · 计算机科学 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

We study fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

计算机科学与博弈论 · 计算机科学 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

We study an online fair division setting, where goods arrive one at a time and there is a fixed set of $n$ agents, each of whom has an additive valuation function over the goods. Once a good appears, the value each agent has for it is…

计算机科学与博弈论 · 计算机科学 2025-05-29 Georgios Amanatidis , Alexandros Lolos , Evangelos Markakis , Victor Turmel

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

计算机科学与博弈论 · 计算机科学 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any…

计算机科学与博弈论 · 计算机科学 2022-09-12 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros Hollender , Alexandros A. Voudouris

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

计算机科学与博弈论 · 计算机科学 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

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 consider two models of fair division with indivisible items: one for goods and one for bads. For goods, we study two generalized envy freeness proxies (EF1 and EFX for goods) and three common welfare (utilitarian, egalitarian and Nash)…

计算机科学与博弈论 · 计算机科学 2018-08-28 Martin Aleksandrov

We study the problem of allocating indivisible goods among agents with additive valuations. When randomization is allowed, it is possible to achieve compelling notions of fairness such as envy-freeness, which states that no agent should…

计算机科学与博弈论 · 计算机科学 2020-05-29 Rupert Freeman , Nisarg Shah , Rohit Vaish