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Large scale multiagent systems must rely on distributed decision making, as centralized coordination is either impractical or impossible. Recent works approach this problem under a game theoretic lens, whereby utility functions are assigned…

计算机科学与博弈论 · 计算机科学 2021-02-10 Rahul Chandan , Dario Paccagnan , Jason R. Marden

We introduce the study of designing allocation mechanisms for fairly allocating indivisible goods in settings with interdependent valuation functions. In our setting, there is a set of goods that needs to be allocated to a set of agents…

计算机科学与博弈论 · 计算机科学 2023-05-24 Georgios Birmpas , Tomer Ezra , Stefano Leonardi , Matteo Russo

We study the fair allocation of indivisible goods under cardinality constraints, where each agent must receive a bundle of fixed size. This models practical scenarios, such as assigning shifts or forming equally sized teams. Recently,…

计算机科学与博弈论 · 计算机科学 2025-07-29 Alviona Mancho , Evangelos Markakis , Nicos Protopapas

We consider fair division of a set of indivisible goods among $n$ agents with additive valuations using the fairness notion of maximin share (MMS). MMS is the most popular share-based notion, in which an agent finds an allocation fair to…

计算机科学与博弈论 · 计算机科学 2024-02-19 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

We consider an online matching problem with concave returns. This problem is a significant generalization of the Adwords allocation problem and has vast applications in online advertising. In this problem, a sequence of items arrive…

数据结构与算法 · 计算机科学 2015-06-09 Xiao Alison Chen , Zizhuo Wang

Econometric inference allows an analyst to back out the values of agents in a mechanism from the rules of the mechanism and bids of the agents. This paper gives an algorithm to solve the problem of inferring the values of agents in a…

计算机科学与博弈论 · 计算机科学 2020-03-31 Jason Hartline , Aleck Johnsen , Denis Nekipelov , Zihe Wang

We study the fair allocation of indivisible goods among a group of agents, aiming to limit the envy between any two agents. The central open problem in this literature, which has proven to be extremely challenging, is regarding the…

计算机科学与博弈论 · 计算机科学 2025-04-22 Arash Ashuri , Vasilis Gkatzelis , Alkmini Sgouritsa

We consider the optimal risk sharing problem with a continuum of agents, modeled via a non-atomic measure space. Individual preferences are not assumed to be convex. We show the multiplicity of agents induces the value function to be…

理论经济学 · 经济学 2025-09-12 Vasily Melnikov

We study the approximate dynamic programming approach to revenue management in the context of attended home delivery. We draw on results from dynamic programming theory for Markov decision problems, convex optimisation and discrete convex…

最优化与控制 · 数学 2019-03-18 Denis Lebedev , Paul Goulart , Kostas Margellos

We present a simple local search algorithm for computing EFX (envy-free up to any good) allocations of $m$ indivisible goods among $n$ agents with additive valuations. EFX is a compelling fairness notion, and whether such allocations always…

计算机科学与博弈论 · 计算机科学 2025-10-08 Simina Brânzei

We consider the classic problem of fairly allocating indivisible goods among agents with additive valuation functions and explore the connection between two prominent fairness notions: maximum Nash welfare (MNW) and envy-freeness up to any…

计算机科学与博弈论 · 计算机科学 2022-09-12 Georgios Amanatidis , Georgios Birmpas , Aris Filos-Ratsikas , Alexandros Hollender , Alexandros A. Voudouris

In an online fair allocation problem, a sequence of indivisible items arrives online and needs to be allocated to offline agents immediately and irrevocably. In our paper, we study the online allocation of either goods or chores. We employ…

计算机科学与博弈论 · 计算机科学 2025-09-10 Yuanyuan Wang , Tianze Wei

This work develops a fully decentralized multi-agent algorithm for policy evaluation. The proposed scheme can be applied to two distinct scenarios. In the first scenario, a collection of agents have distinct datasets gathered following…

机器学习 · 计算机科学 2019-08-13 Lucas Cassano , Kun Yuan , Ali H. Sayed

We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

离散数学 · 计算机科学 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

In the allocation of indivisible goods, the maximum Nash welfare (MNW) rule, which chooses an allocation maximizing the product of the agents' utilities, has received substantial attention for its fairness. We characterize MNW as the only…

理论经济学 · 经济学 2022-12-20 Warut Suksompong

In this paper, we study how to fairly allocate m indivisible chores to n (asymmetric) agents. We consider (weighted) proportionality up to any item (PROPX) and show that a (weighted) PROPX allocation always exists and can be computed…

计算机科学与博弈论 · 计算机科学 2021-11-01 Bo Li , Yingkai Li , Xiaowei Wu

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

计算机科学与博弈论 · 计算机科学 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

We study fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

计算机科学与博弈论 · 计算机科学 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

In this paper, we study how to fairly allocate a set of m indivisible chores to a group of n agents, each of which has a general additive cost function on the items. Since envy-free (EF) allocations are not guaranteed to exist, we consider…

计算机科学与博弈论 · 计算机科学 2023-11-01 Shengwei Zhou , Xiaowei Wu

We consider the fair division of indivisible items using the maximin shares measure. Recent work on the topic has focused on extending results beyond the class of additive valuation functions. In this spirit, we study the case where the…

离散数学 · 计算机科学 2023-10-20 Zhentao Li , Adrian Vetta