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We study a fair allocation problem of indivisible items under additive externalities in which each agent also receives values from items that are assigned to other agents. We propose several new fairness concepts. We extend the well-studied…

计算机科学与博弈论 · 计算机科学 2022-12-01 Haris Aziz , Warut Suksompong , Zhaohong Sun , Toby Walsh

This paper investigates the potential benefits of cooperation in scenarios where finitely many agents compete for shared resources, leading to congestion and thereby reduced rewards. By appropriate coordination the members of the…

计算机科学与博弈论 · 计算机科学 2024-10-10 Riya Sultana , Veeraruna Kavitha

We explore solutions for fairly allocating indivisible items among agents assigned weights representing their entitlements. Our fairness goal is weighted-envy-freeness (WEF), where each agent deems their allocated portion relative to their…

计算机科学与博弈论 · 计算机科学 2025-02-25 Noga Klein Elmalem , Rica Gonen , Erel Segal-Halevi

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

计算机科学与博弈论 · 计算机科学 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

We consider the problem of fair allocation of indivisible chores under additive valuations. We assume that the chores are divided into two types and under this scenario, we present several results. Our first result is a new characterization…

计算机科学与博弈论 · 计算机科学 2023-05-25 Haris Aziz , Jeremy Lindsay , Angus Ritossa , Mashbat Suzuki

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 study a game-theoretic variant of the maximum circulation problem. In a flow allocation game, we are given a directed flow network. Each node is a rational agent and can strategically allocate any incoming flow to the outgoing edges.…

计算机科学与博弈论 · 计算机科学 2023-12-22 Nils Bertschinger , Martin Hoefer , Daniel Schmand

We consider a classic many-to-one matching setting, where participants need to be assigned to teams based on the preferences of both sides. Unlike most of the matching literature, we aim to provide fairness not only to participants, but…

理论经济学 · 经济学 2025-09-30 Ayumi Igarashi , Naoyuki Kamiyama , Yasushi Kawase , Warut Suksompong , Hanna Sumita , Yu Yokoi

We study the problem of allocating a group of indivisible chores among agents while each chore has a binary marginal. We focus on the fairness criteria of envy-freeness up to any item (EFX) and investigate the existence of EFX allocations.…

计算机科学与博弈论 · 计算机科学 2023-08-24 Biaoshuai Tao , Xiaowei Wu , Ziqi Yu , Shengwei Zhou

We study the problem of finding an envy-free allocation of indivisible goods among agents with additive valuations. We focus on the fairness notion of envy-freeness up to any good (EFX). A central open question in fair division is whether…

计算机科学与博弈论 · 计算机科学 2025-05-26 Vishwa Prakash HV , Pratik Ghosal , Prajakta Nimbhorkar , Nithin Varma

In this paper we formulate the fixed budget resource allocation game to understand the performance of a distributed market-based resource allocation system. Multiple users decide how to distribute their budget (bids) among multiple machines…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Michal Feldman , Kevin Lai , Li Zhang

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

计算机科学与博弈论 · 计算机科学 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

The cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

计算机科学与博弈论 · 计算机科学 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

理论经济学 · 经济学 2022-12-01 Ata Atay , Christian Trudeau

The Nash social welfare (NSW) is a well-known social welfare measurement that balances individual utilities and the overall efficiency. In the context of fair allocation of indivisible goods, it has been shown by Caragiannis et al. (EC 2016…

计算机科学与博弈论 · 计算机科学 2020-12-08 Xiaowei Wu , Bo Li , Jiarui Gan

We study the problem of fairly allocating a multiset $M$ of $m$ indivisible items among $n$ agents with additive valuations. Specifically, we introduce a parameter $t$ for the number of distinct types of items and study fair allocations of…

计算机科学与博弈论 · 计算机科学 2023-03-30 Pranay Gorantla , Kunal Marwaha , Santhoshini Velusamy

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

计算机科学与博弈论 · 计算机科学 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

Ensuring efficiency and envy-freeness in allocating indivisible goods without money often requires randomization. However, existing combinatorial assignment mechanisms (for applications such as course allocation, food banks, and refugee…

理论经济学 · 经济学 2025-10-03 Thành Nguyen , Alexander Teytelboym , Shai Vardi

The problem of fairly allocating a set of indivisible items is a well-known challenge in the field of (computational) social choice. In this scenario, there is a fundamental incompatibility between notions of fairness (such as envy-freeness…

计算机科学与博弈论 · 计算机科学 2023-12-21 Ayumi Igarashi , Martin Lackner , Oliviero Nardi , Arianna Novaro

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