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According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

计算机科学与博弈论 · 计算机科学 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

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 fairly allocating a set of indivisible goods among agents with {\em bivalued submodular valuations} -- each good provides a marginal gain of either $a$ or $b$ ($a < b$) and goods have decreasing marginal gains. This…

计算机科学与博弈论 · 计算机科学 2023-07-21 Cyrus Cousins , Vignesh Viswanathan , Yair Zick

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 consider the problem of fairly allocating a set of indivisible goods among agents with additive valuations. Ex-ante fairness (proportionality) can trivially be obtained by giving all goods to a random agent. Yet, such an allocation is…

计算机科学与博弈论 · 计算机科学 2026-01-26 Moshe Babaioff , Yuval Grofman

A principal delegates a project to a team $S$ from a pool of $n$ agents. The project's value if all agents in $S$ exert costly effort is $f(S)$. To incentivize the agents to participate, the principal assigns each agent $i\in S$ a share…

计算机科学与博弈论 · 计算机科学 2025-04-29 Gil Aharoni , Martin Hoefer , Inbal Talgam-Cohen

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

Fair division mechanisms for indivisible goods require agent orderings to deterministically select one allocation when running the algorithm in practice. We introduce position envy-freeness up to one good (PEF1) as a fairness criterion for…

计算机科学与博弈论 · 计算机科学 2025-11-18 Ryoga Mahara , Ryuhei Mizutani , Taihei Oki , Tomohiko Yokoyama

We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy,…

理论经济学 · 经济学 2020-05-12 Federico Echenique , Antonio Miralles , Jun Zhang

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

计算机科学与博弈论 · 计算机科学 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

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

Recent studies on disparate impact in machine learning applications have sparked a debate around the concept of fairness along with attempts to formalize its different criteria. Many of these approaches focus on reducing prediction errors…

计算机与社会 · 计算机科学 2018-10-22 Ansh Patel

We introduce and analyze an extension to the matching problem on a weighted bipartite graph: Assignment with Type Constraints. The two parts of the graph are partitioned into subsets called types and blocks; we seek a matching with the…

人工智能 · 计算机科学 2020-10-06 Nawal Benabbou , Mithun Chakraborty , Vinh Ho Xuan , Jakub Sliwinski , Yair Zick

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

Fair division of indivisible goods is a central challenge in artificial intelligence. For many prominent fairness criteria including envy-freeness (EF) or proportionality (PROP), no allocations satisfying these criteria might exist. Two…

计算机科学与博弈论 · 计算机科学 2022-09-09 Martin Hoefer , Marco Schmalhofer , Giovanna Varricchio

We study fairness through the lens of cooperative multi-agent learning. Our work is motivated by empirical evidence that naive maximization of team reward yields unfair outcomes for individual team members. To address fairness in…

人工智能 · 计算机科学 2022-01-20 Niko A. Grupen , Bart Selman , Daniel D. Lee

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

Equitable allocation of indivisible items involves partitioning the items among agents such that everyone derives (almost) equal utility. We consider the approximate notion of \textit{equitability up to one item} (EQ1) and focus on the…

计算机科学与博弈论 · 计算机科学 2025-08-22 Hadi Hosseini , Aditi Sethia

We introduce and study the problem of designing optimal contracts under fairness constraints on the task assignments and compensations. We adopt the notion of envy-free (EF) and its relaxations, $\epsilon$-EF and envy-free up to one item…

计算机科学与博弈论 · 计算机科学 2025-07-23 Matteo Castiglioni , Junjie Chen , Yingkai Li

We consider the egalitarian welfare aspects of random assignment mechanisms when agents have unrestricted cardinal utilities over the objects. We give bounds on how well different random assignment mechanisms approximate the optimal…

计算机科学与博弈论 · 计算机科学 2015-07-27 Haris Aziz , Jiashu Chen , Aris Filos-Ratsikas , Simon Mackenzie , Nicholas Mattei