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We establish a compatibility between fairness and efficiency, captured via Nash Social Welfare (NSW), under the broad class of subadditive valuations. We prove that, for subadditive valuations, there always exists a partial allocation that…

计算机科学与博弈论 · 计算机科学 2025-11-10 Siddharth Barman , Mashbat Suzuki

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 how to fairly allocate a set of indivisible chores to a group of agents, where each agent $i$ has a non-negative weight $w_i$ that represents its obligation for undertaking the chores. We consider the fairness notion of weighted…

计算机科学与博弈论 · 计算机科学 2023-01-20 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

计算机科学与博弈论 · 计算机科学 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

Large-scale online recommendation systems must facilitate the allocation of a limited number of items among competing users while learning their preferences from user feedback. As a principled way of incorporating market constraints and…

机器学习 · 计算机科学 2022-12-15 Yigit Efe Erginbas , Soham Phade , Kannan Ramchandran

The existence of $\textsf{EFX}$ allocations stands as one of the main challenges in discrete fair division.In this paper, we present symmetrical results on the existence of $\textsf{EFX}$ and its approximate variations for two distinct…

计算机科学与博弈论 · 计算机科学 2024-12-10 Alireza Kaviani , Masoud Seddighin , AmirMohammad Shahrezaei

We consider the problem of fairly allocating a combination of divisible and indivisible goods. While fairness criteria like envy-freeness (EF) and proportionality (PROP) can always be achieved for divisible goods, only their relaxed…

计算机科学与博弈论 · 计算机科学 2024-04-30 Bo Li , Zihao Li , Shengxin Liu , Zekai Wu

Envy-freeness and Pareto Efficiency are two major goals in welfare economics. The existence of an allocation that satisfies both conditions has been studied for a long time. Whether items are indivisible or divisible, it is impossible to…

计算机科学与博弈论 · 计算机科学 2019-11-11 Richard Cole , Yixin Tao

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

计算机科学与博弈论 · 计算机科学 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

We study the problem of fairly allocating a set of $m$ indivisible goods to a set of $n$ agents. Envy-freeness up to any good (EFX) criteria -- which requires that no agent prefers the bundle of another agent after removal of any single…

计算机科学与博弈论 · 计算机科学 2022-08-11 Hannaneh Akrami , Rojin Rezvan , Masoud Seddighin

This paper re-examines the problem of fairly and efficiently allocating indivisible goods among agents with additive bivalued valuations. Garg and Murhekar (2021) proposed a polynomial-time algorithm that purported to find an EFX and fPO…

计算机科学与博弈论 · 计算机科学 2026-04-10 Hui Liu , Zhijie Zhang

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 study the fundamental problem of fairly dividing a set of indivisible goods among agents with additive valuations. Here, envy-freeness up to any good (EFX) is a central fairness notion and resolving its existence is regarded as one of…

计算机科学与博弈论 · 计算机科学 2026-02-13 Hannaneh Akrami , Ryoga Mahara , Kurt Mehlhorn , Nidhi Rathi

The goal of fair division is to distribute resources among competing players in a "fair" way. Envy-freeness is the most extensively studied fairness notion in fair division. Envy-free allocations do not always exist with indivisible goods,…

计算机科学与博弈论 · 计算机科学 2017-11-15 Benjamin Plaut , Tim Roughgarden

We study the fundamental problem of fairly dividing a set of indivisible items among agents with (general) monotone valuations. The notion of envy-freeness up to any item (EFX) is considered to be one of the most fascinating fairness…

计算机科学与博弈论 · 计算机科学 2024-06-13 Hannaneh Akrami , Nidhi Rathi

Envy-freeness is one of the most prominent fairness concepts in the allocation of indivisible goods. Even though trivial envy-free allocations always exist, rich literature shows this is not true when one additionally requires some…

计算机科学与博弈论 · 计算机科学 2025-02-19 Robert Bredereck , Andrzej Kaczmarczyk , Junjie Luo , Bin Sun

Resource allocation is fundamental to a variety of societal decision-making settings, ranging from the distribution of charitable donations to assigning limited public housing among interested families. A central challenge in this context…

计算机科学与博弈论 · 计算机科学 2025-06-11 Hadi Hosseini , Joshua Kavner , Sujoy Sikdar , Rohit Vaish , Lirong Xia

We study fairness in the context of feature-based price discrimination in monopoly markets. We propose a new notion of individual fairness, namely, \alpha-fairness, which guarantees that individuals with similar features face similar…

计算机科学与博弈论 · 计算机科学 2022-02-28 Shantanu Das , Swapnil Dhamal , Ganesh Ghalme , Shweta Jain , Sujit Gujar

We propose a new all-pay auction format in which risk-loving bidders pay a constant fee each time they bid for an object whose monetary value is common knowledge among the bidders, and bidding fees are the only source of benefit for the…

计算机科学与博弈论 · 计算机科学 2016-03-03 Ali Kakhbod

We study the fair allocation of indivisible items for groups of agents from the perspectives of the agents and a centralized allocator. In our setting, the centralized allocator is interested in ensuring the allocation is fair among the…

计算机科学与博弈论 · 计算机科学 2025-11-12 Ying Wang , Jiaqian Li , Tianze Wei , Hau Chan , Minming Li