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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 consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

计算机科学与博弈论 · 计算机科学 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

Schelling's model is an influential model that reveals how individual perceptions and incentives can lead to residential segregation. Inspired by a recent stream of work, we study welfare guarantees and complexity in this model with respect…

计算机科学与博弈论 · 计算机科学 2022-03-21 Martin Bullinger , Warut Suksompong , Alexandros A. Voudouris

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 consider the problem of repeatedly choosing policies to maximize social welfare. Welfare is a weighted sum of private utility and public revenue. Earlier outcomes inform later policies. Utility is not observed, but indirectly inferred.…

计量经济学 · 经济学 2024-07-30 Nicolo Cesa-Bianchi , Roberto Colomboni , Maximilian Kasy

In the budget-feasible allocation problem, a set of items with varied sizes and values are to be allocated to a group of agents. Each agent has a budget constraint on the total size of items she can receive. The goal is to compute a…

计算机科学与博弈论 · 计算机科学 2021-06-29 Jiarui Gan , Bo Li , Xiaowei Wu

A number of goods are called identical if they provide the same level of utility to each agent. In various real-world instances of fair division scenarios, identical indivisible items are allocated to consumers and demandants with different…

最优化与控制 · 数学 2026-05-28 Manouchehr Zaker

Although approximate notions of envy-freeness-such as envy-freeness up to one good (EF1)-have been extensively studied for indivisible goods, the seemingly simpler fairness concept of proportionality up to one good (PROP1) has received far…

计算机科学与博弈论 · 计算机科学 2025-08-19 Martin Jupakkal Andersen , Ioannis Caragiannis , Anders Bo Ipsen , Alexander Søltoft

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

计算机科学与博弈论 · 计算机科学 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

Motivated by applications such as college admission and insurance rate determination, we propose an evaluation problem where the inputs are controlled by strategic individuals who can modify their features at a cost. A learner can only…

计算机科学与博弈论 · 计算机科学 2020-11-05 Nika Haghtalab , Nicole Immorlica , Brendan Lucier , Jack Z. Wang

We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

计算机科学与博弈论 · 计算机科学 2021-11-24 Neeldhara Misra , Debanuj Nayak

We consider a selfish variant of the knapsack problem. In our version, the items are owned by agents, and each agent can misrepresent the set of items she owns---either by avoiding reporting some of them (understating), or by reporting…

计算机科学与博弈论 · 计算机科学 2016-03-01 Itai Feigenbaum , Matthew P. Johnson

We consider the complexity of maximizing egalitarian welfare in Friends and Enemies Games -- a subclass of hedonic games in which every agent partitions other agents into friends and enemies. We investigate two classic scenarios proposed in…

计算机科学与博弈论 · 计算机科学 2025-12-24 Edith Elkind , Michele Flammini , Giovanna Varricchio

We study two stylized, multi-agent models aimed at investing a limited, indivisible resource in public transportation. In the first model, we face the decision of which potential stops to open along a (e.g., bus) path, given agents' travel…

计算机科学与博弈论 · 计算机科学 2026-02-04 Martin Bullinger , Edith Elkind , Kassian Köck

If a two-player social welfare maximization problem does not admit a PTAS, we prove that any maximal-in-range truthful mechanism that runs in polynomial time cannot achieve an approximation factor better than 1/2. Moreover, for the k-player…

计算机科学与博弈论 · 计算机科学 2009-12-18 Shaddin Dughmi , Hu Fu , Robert Kleinberg

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

计算机科学与博弈论 · 计算机科学 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We study the question of dividing a collection of indivisible goods amongst a set of agents. The main objective of research in the area is to achieve one of two goals: fairness or efficiency. On the fairness side, envy-freeness is the…

计算机科学与博弈论 · 计算机科学 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

This paper proves that the welfare of the first price auction in Bayes-Nash equilibrium is at least a $.743$-fraction of the welfare of the optimal mechanism assuming agents' values are independently distributed. The previous best bound was…

计算机科学与博弈论 · 计算机科学 2018-03-20 Darrell Hoy , Sam Taggart , Zihe Wang

We study the fundamental problem of allocating indivisible goods to agents with additive preferences. We consider eliciting from each agent only a ranking of her $k$ most preferred goods instead of her full cardinal valuations. We…

计算机科学与博弈论 · 计算机科学 2021-05-25 Daniel Halpern , Nisarg Shah

In fair division problems, the notion of price of fairness measures the loss in welfare due to a fairness constraint. Prior work on the price of fairness has focused primarily on envy-freeness up to one good (EF1) as the fairness…

计算机科学与博弈论 · 计算机科学 2023-07-14 Umang Bhaskar , Neeldhara Misra , Aditi Sethia , Rohit Vaish