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We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

计算机科学与博弈论 · 计算机科学 2024-05-08 Yushi Bai , Paul Gölz

Scheduling theory is an old and well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the community. Our aim is to bring these two areas…

数据结构与算法 · 计算机科学 2017-09-14 Danny Hermelin , Judith-Madeleine Kubitza , Dvir Shabtay , Nimrod Talmon , Gerhard Woeginger

Studying the set of exact solutions of a system of polynomial equations largely depends on a single iterative algorithm, known as Buchberger's algorithm. Optimized versions of this algorithm are crucial for many computer algebra systems…

机器学习 · 计算机科学 2020-08-19 Dylan Peifer , Michael Stillman , Daniel Halpern-Leistner

In this paper, we present new results on the fair and efficient allocation of indivisible goods to agents whose preferences correspond to {\em matroid rank functions}. This is a versatile valuation class with several desirable properties…

人工智能 · 计算机科学 2021-06-21 Nawal Benabbou , Mithun Chakraborty , Ayumi Igarashi , Yair Zick

We consider a decision maker allocating one unit of renewable and divisible resource in each period on a number of arms. The arms have unknown and random rewards whose means are proportional to the allocated resource and whose variances are…

机器学习 · 计算机科学 2023-11-06 Ningyuan Chen , Wenhao Li

This paper considers the problem of randomly assigning a set of objects to a set of agents based on the ordinal preferences of agents. We generalize the well-known immediate acceptance algorithm to the afore-mentioned random environments…

理论经济学 · 经济学 2021-04-20 Yajing Chen , Patrick Harless , Zhenhua Jiao

We study the problem of allocating $m$ items to $n$ agents subject to maximizing the Nash social welfare (NSW) objective. We write a novel convex programming relaxation for this problem, and we show that a simple randomized rounding…

数据结构与算法 · 计算机科学 2016-09-26 Nima Anari , Shayan Oveis Gharan , Amin Saberi , Mohit Singh

Budget aggregation deals with the social choice problem of distributing an exogenously given budget among a set of public projects, given agents' preferences. Taking a game-theoretic perspective, we study budget-aggregation games where each…

计算机科学与博弈论 · 计算机科学 2026-02-25 Patrick Becker , Alexander Fries , Matthias Greger , Erel Segal-Halevi

A number of goods are called identical if they provide the same level of utility to each agent. In various real-world instances of fair division scenarios, identical indivisible items are allocated to consumers and demandants with different…

最优化与控制 · 数学 2026-05-28 Manouchehr Zaker

We consider the problem of allocating indivisible objects to agents when agents have strict preferences over objects. There are inherent trade-offs between competing notions of efficiency, fairness and incentives in assignment mechanisms.…

理论经济学 · 经济学 2020-11-02 Priyanka Shende , Manish Purohit

We consider house allocation with existing tenants in which each agent has dichotomous preferences. We present strategyproof, polynomial-time, and (strongly) individually rational algorithms that satisfy the maximum number of agents. For…

计算机科学与博弈论 · 计算机科学 2016-05-31 Haris Aziz

We study a dynamic allocation problem in which $T$ sequentially arriving divisible resources are to be allocated to a number of agents with linear utilities. The marginal utilities of each resource to the agents are drawn stochastically…

最优化与控制 · 数学 2023-06-27 Santiago R. Balseiro , Shangzhou Xia

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

计算机科学与博弈论 · 计算机科学 2024-08-05 Ankang Sun , Bo Chen

We study the problem of fair and efficient allocation of a set of indivisible chores to agents with additive cost functions. We consider the popular fairness notion of envy-freeness up to one good (EF1) with the efficiency notion of…

计算机科学与博弈论 · 计算机科学 2021-10-20 Jugal Garg , Aniket Murhekar , John Qin

Finding an envy-free allocation of indivisible resources to agents is a central task in many multiagent systems. Often, non-trivial envy-free allocations do not exist, and, when they do, finding them can be computationally hard. Classical…

计算机科学与博弈论 · 计算机科学 2020-11-24 Robert Bredereck , Andrzej Kaczmarczyk , Rolf Niedermeier

Nowadays hybrid evolutionary algorithms, i.e, heuristic search algorithms combining several mutation operators some of which are meant to implement stochastically a well known technique designed for the specific problem in question while…

神经与进化计算 · 计算机科学 2014-04-23 Boris Mitavskiy , Jun He

We address Nash equilibrium problems in a partial-decision information scenario, where each agent can only exchange information with some neighbors, while its cost function possibly depends on the strategies of all agents. We characterize…

最优化与控制 · 数学 2022-06-24 Mattia Bianchi , Sergio Grammatico

House Allocations concern with matchings involving one-sided preferences, where houses serve as a proxy encoding valuable indivisible resources (e.g. organs, course seats, subsidized public housing units) to be allocated among the agents.…

计算机科学与博弈论 · 计算机科学 2025-11-11 Hadi Hosseini , Sanjukta Roy , Aditi Sethia

The $\alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $\alpha$-fair resource sharing to distributively…

网络与互联网体系结构 · 计算机科学 2018-02-09 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

In classical job-scheduling games, each job behaves as a selfish player, choosing a machine to minimize its own completion time. To reduce the equilibria inefficiency, coordination mechanisms are employed, allowing each machine to follow…

计算机科学与博弈论 · 计算机科学 2025-02-11 Gilad Lavie , Tami Tamir