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We consider a fair division model in which agents have general valuations for bundles of indivisible items. We propose two new axiomatic properties for allocations in this model: EF1+- and EFX+-. We compare these with the existing EF1 and…

计算机科学与博弈论 · 计算机科学 2020-06-24 Martin Aleksandrov

We study competitive equilibria in the classic Shapley-Shubik assignment model with indivisible goods and unit-demand buyers, with budget constraints: buyers can specify a maximum price they are willing to pay for each item, beyond which…

计算机科学与博弈论 · 计算机科学 2010-04-19 Ning Chen , Xiaotie Deng , Arpita Ghosh

Persistent economic competition is often justified as a mechanism of innovation, efficiency, and welfare maximization. Yet empirical evidence across disciplines reveals that competition systematically generates fragility, inequality, and…

理论经济学 · 经济学 2025-06-16 Marcelo S. Tedesco , Gonzalo Marquez

Recent literature on computational notions of fairness has been broadly divided into two distinct camps, supporting interventions that address either individual-based or group-based fairness. Rather than privilege a single definition, we…

计算机科学与博弈论 · 计算机科学 2017-07-07 Lily Hu , Yiling Chen

The allocation of resources among multiple agents is a fundamental problem in both economics and computer science. In these settings, fairness plays a crucial role in ensuring social acceptability and practical implementation of resource…

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

Incorporating fairness criteria in optimization problems comes at a certain cost, which is measured by the so-called price of fairness. Here we consider the allocation of indivisible goods. For envy-freeness as fairness criterion it is…

计算机科学与博弈论 · 计算机科学 2014-06-24 Sascha Kurz

We study the problem of fair allocation of a set of indivisible goods among $n$ agents with $k$ distinct additive valuations, with the goal of achieving approximate envy-freeness up to any good ($\alpha-\mathrm{EFX}$). It is known that EFX…

计算机科学与博弈论 · 计算机科学 2025-08-22 Vishwa Prakash HV , Ruta Mehta , Prajakta Nimbhorkar

We present a constructive proof of the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that the existence of such an equilibrium implies Sperner's lemma.…

逻辑 · 数学 2018-09-13 Yasuhito Tanaka

Traditionally the probabilistic ranking principle is used to rank the search results while the ranking based on expected profits is used for paid placement of ads. These rankings try to maximize the expected utilities based on the user…

计算机科学与博弈论 · 计算机科学 2015-03-19 Raju Balakrishnan , Subbarao Kambhampati

Fair allocation of indivisible goods has attracted extensive attention over the last two decades, yielding numerous elegant algorithmic results and producing challenging open questions. The problem becomes much harder in the presence of…

计算机科学与博弈论 · 计算机科学 2023-02-01 Georgios Amanatidis , Georgios Birmpas , Philip Lazos , Stefano Leonardi , Rebecca Reiffenhäuser

We introduce a novel framework that considers how a firm could fairly compensate its workers. A firm has a group of workers, each of whom has varying productivities over a set of tasks. After assigning workers to tasks, the firm must then…

理论经济学 · 经济学 2022-05-04 John E. Stovall

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

Machine learning has grown in popularity to help assign resources and make decisions about users, which can result in discrimination. This includes hiring markets, where employers have increasingly been interested in using automated tools…

计算机科学与博弈论 · 计算机科学 2024-12-20 Serafina Kamp , Benjamin Fish

We study a decentralized matching market in which firms sequentially make offers to potential workers. For each offer, the worker can choose "accept" or "reject," but the decision is irrevocable. The acceptance of an offer guarantees her…

计算机科学与博弈论 · 计算机科学 2019-11-19 Yasushi Kawase , Yutaro Yamaguchi , Yu Yokoi

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

We study the problem of fairly allocating a set of chores to a group of agents. The existence of envy-free up to any item (EFX) allocations is a long-standing open question for both goods and chores. We resolve this question by providing a…

计算机科学与博弈论 · 计算机科学 2024-06-18 Vasilis Christoforidis , Christodoulos Santorinaios

We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each…

交易与市场微观结构 · 定量金融 2008-12-02 Ivar Ekeland

The existence of EFX allocations is a major open problem in fair division, even for additive valuations. The current state of the art is that no setting where EFX allocations are impossible is known, and EFX is known to exist for ($i$)…

计算机科学与博弈论 · 计算机科学 2021-03-02 Ben Berger , Avi Cohen , Michal Feldman , Amos Fiat

Cournot competition is a fundamental economic model that represents firms competing in a single market of a homogeneous good. Each firm tries to maximize its utility---a function of the production cost as well as market price of the…

计算机科学与博弈论 · 计算机科学 2014-07-25 Melika Abolhassani , MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Hamid Mahini , Anshul Sawant

Among the various aspects of algorithmic fairness studied in recent years, the tension between satisfying both \textit{sufficiency} and \textit{separation} -- e.g. the ratios of positive or negative predictive values, and false positive or…