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In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

计算机科学与博弈论 · 计算机科学 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed.…

计算机科学与博弈论 · 计算机科学 2020-03-19 Haris Aziz

We study the fair allocation of mixtures of indivisible goods and chores under lexicographic preferences$\unicode{x2014}$a subdomain of additive preferences. A prominent fairness notion for allocating indivisible items is envy-freeness up…

计算机科学与博弈论 · 计算机科学 2023-05-08 Hadi Hosseini , Aghaheybat Mammadov , Tomasz Wąs

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

In random assignment, fairness is often captured by stochastic-dominance envy-freeness (SD-EF). We observe that assignments satisfying SD-EF may admit decompositions that result in each agent envying another agent with high probability. To…

理论经济学 · 经济学 2026-04-22 Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

In learning-to-rank (LTR), optimizing only the relevance (or the expected ranking utility) can cause representational harm to certain categories of items. Moreover, if there is implicit bias in the relevance scores, LTR models may fail to…

机器学习 · 计算机科学 2023-08-28 Sruthi Gorantla , Eshaan Bhansali , Amit Deshpande , Anand Louis

We consider the problem of fair allocation of indivisible items with subsidies when agents have weighted entitlements. After highlighting several important differences from the unweighted case, we present several results concerning weighted…

计算机科学与博弈论 · 计算机科学 2024-10-18 Haris Aziz , Xin Huang , Kei Kimura , Indrajit Saha , Zhaohong Sun , Mashbat Suzuki , Makoto Yokoo

The notion of \emph{envy-freeness} is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are unfortunately not guaranteed to exist. Classical works have avoided this issue by…

计算机科学与博弈论 · 计算机科学 2021-05-06 Hiromichi Goko , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hanna Sumita , Akihisa Tamura , Yu Yokoi , Makoto Yokoo

We study fairness in the allocation of discrete goods. Exactly fair (envy-free) allocations are impossible, so we discuss notions of approximate fairness. In particular, we focus on allocations in which the swap of two items serves to…

理论经济学 · 经济学 2025-08-14 Federico Echenique , Sumit Goel , SangMok Lee

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 study the problem of fairly assigning a set of discrete tasks (or chores) among a set of agents with additive valuations. Each chore is associated with a start and finish time, and each agent can perform at most one chore at any given…

计算机科学与博弈论 · 计算机科学 2026-05-06 Sarfaraz Equbal , Rohit Gurjar , Yatharth Kumar , Swaprava Nath , Raghuvansh Saxena , Rohit Vaish

We conduct a computational analysis of fair and optimal partitions in additively separable hedonic games. We show that, for strict preferences, a Pareto optimal partition can be found in polynomial time while verifying whether a given…

计算机科学与博弈论 · 计算机科学 2015-02-06 Haris Aziz , Felix Brandt , Hans Georg Seedig

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. While finding an arbitrary Pareto optimal allocation is generally easy, checking whether a particular allocation is Pareto…

计算机科学与博弈论 · 计算机科学 2018-05-18 Haris Aziz , Peter Biro , Jerome Lang , Julien Lesca , Jerome Monnot

We study the problem of dynamically allocating $T$ indivisible items to $n$ agents with the restriction that the allocation is fair all the time. Due to the negative results to achieve fairness when allocations are irrevocable, we allow…

计算机科学与博弈论 · 计算机科学 2023-02-21 Mingwei Yang

We study the envy free pricing problem faced by a seller who wishes to maximize revenue by setting prices for bundles of items. If there is an unlimited supply of items and agents are single minded then we show that finding the revenue…

计算机科学与博弈论 · 计算机科学 2016-09-08 Amos Fiat , Amiram Wingarten

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

人工智能 · 计算机科学 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

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

Unlike ordinal-utility matching markets, which are well-developed from the viewpoint of both theory and practice, recent insights from a computer science perspective have left cardinal-utility matching markets in a state of flux. The…

计算机科学与博弈论 · 计算机科学 2025-01-06 Thorben Tröbst , Vijay V. Vazirani

We show that, in a resource allocation problem, the ex ante aggregate utility of players with cumulative-prospect-theoretic preferences can be increased over deterministic allocations by implementing lotteries. We formulate an optimization…

理论经济学 · 经济学 2020-12-07 Soham R. Phade , Venkat Anantharam

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

计算机科学与博弈论 · 计算机科学 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah
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