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Nearest Neighbor Search (NNS) is a fundamental problem in data structures with wide-ranging applications, such as web search, recommendation systems, and, more recently, retrieval-augmented generations (RAG). In such recent applications, in…

数据结构与算法 · 计算机科学 2026-02-10 Siddharth Barman , Nirjhar Das , Shivam Gupta , Kirankumar Shiragur

We develop a framework for the analysis of large-scale Ad-auctions where adverts are assigned over a continuum of search types. For this pay-per-click market, we provide an efficient mechanism that maximizes social welfare. In particular,…

计算机科学与博弈论 · 计算机科学 2016-06-03 Frank Kelly , Peter Key , Neil Walton

We initiate the study of centralized algorithms for welfare-maximizing allocation of goods to buyers subject to average-value constraints. We show that this problem is NP-hard to approximate beyond a factor of $\frac{e}{e-1}$, and provide a…

数据结构与算法 · 计算机科学 2025-09-09 Kshipra Bhawalkar , Zhe Feng , Anupam Gupta , Aranyak Mehta , David Wajc , Di Wang

We consider a multi-agent resource allocation setting that models the assignment of papers to reviewers. A recurring issue in allocation problems is the compatibility of welfare/efficiency and fairness. Given an oracle to find a…

计算机科学与博弈论 · 计算机科学 2019-08-02 Haris Aziz , Xin Huang , Nicholas Mattei , Erel Segal-Halevi

We study the allocation of divisible goods to competing agents via a market mechanism, focusing on agents with Leontief utilities. The majority of the economics and mechanism design literature has focused on \emph{linear} prices, meaning…

计算机科学与博弈论 · 计算机科学 2019-12-24 Ashish Goel , Reyna Hulett , Benjamin Plaut

We study the problem of fairly allocating indivisible goods among agents which are equipped with {\em leveled} valuation functions. Such preferences, that have been studied before in economics and fair division literature, capture a simple…

计算机科学与博弈论 · 计算机科学 2025-02-17 George Christodoulou , Vasilis Christoforidis

We consider the problem of allocating a set of divisible goods to $N$ agents in an online manner, aiming to maximize the Nash social welfare, a widely studied objective which provides a balance between fairness and efficiency. The goods…

计算机科学与博弈论 · 计算机科学 2021-08-04 Siddhartha Banerjee , Vasilis Gkatzelis , Artur Gorokh , Billy Jin

We study a participatory budgeting problem of aggregating the preferences of agents and dividing a budget over the projects. A budget division solution is a probability distribution over the projects. The main purpose of our study concerns…

计算机科学与博弈论 · 计算机科学 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang

Fair division of indivisible goods is a very well-studied problem. The goal of this problem is to distribute $m$ goods to $n$ agents in a "fair" manner, where every agent has a valuation for each subset of goods. We assume general…

计算机科学与博弈论 · 计算机科学 2020-02-25 Bhaskar Ray Chaudhury , Tellikepalli Kavitha , Kurt Mehlhorn , Alkmini Sgouritsa

The fundamental assignment problem is in search of welfare maximization mechanisms to allocate items to agents when the private preferences over indivisible items are provided by self-interested agents. The mainstream mechanism…

计算机科学与博弈论 · 计算机科学 2019-06-04 Yansong Gao , Jie Zhang

We consider the problem of fairly dividing a set of items. Much of the fair division literature assumes that the items are `goods' i.e., they yield positive utility for the agents. There is also some work where the items are `chores' that…

计算机科学与博弈论 · 计算机科学 2021-03-18 Haris Aziz , Ioannis Caragiannis , Ayumi Igarashi , Toby Walsh

We study the problem of allocating divisible resources among $n$ agents, hopefully in a fair and efficient manner. With the presence of strategic agents, additional incentive guarantees are also necessary, and the problem of designing fair…

计算机科学与博弈论 · 计算机科学 2025-04-25 Xiaohui Bei , Biaoshuai Tao , Jiajun Wu , Mingwei Yang

We study the problem of assigning items to agents so as to maximize the \emph{weighted} Nash Social Welfare (NSW) under submodular valuations. The best-known result for the problem is an $O(nw_{\max})$-approximation due to Garg, Husic, Li,…

计算机科学与博弈论 · 计算机科学 2025-11-05 Yuda Feng , Yang Hu , Shi Li , Ruilong Zhang

Social commerce platforms are emerging businesses where producers sell products through re-sellers who advertise the products to other customers in their social network. Due to the increasing popularity of this business model, thousands of…

Allocating indivisible goods is a ubiquitous task in fair division. We study additive welfarist rules, an important class of rules which choose an allocation that maximizes the sum of some function of the agents' utilities. Prior work has…

计算机科学与博弈论 · 计算机科学 2026-03-04 Karen Frilya Celine , Warut Suksompong , Sheung Man Yuen

We consider the problem of fairly allocating indivisible goods to agents with weights representing their entitlements. A natural rule in this setting is the maximum weighted Nash welfare (MWNW) rule, which selects an allocation maximizing…

理论经济学 · 经济学 2022-04-26 Warut Suksompong , Nicholas Teh

Online allocation is a broad class of problems where items arriving online have to be allocated to agents who have a fixed utility/cost for each assigned item so to maximize/minimize some objective. This framework captures a broad range of…

计算机科学与博弈论 · 计算机科学 2023-05-31 Ilan Reuven Cohen , Debmalya Panigrahi

Equitability is a well-studied fairness notion in fair division, where an allocation is equitable if all agents receive equal utility from their allocation. For indivisible items, an exactly equitable allocation may not exist, and a natural…

计算机科学与博弈论 · 计算机科学 2025-05-12 Umang Bhaskar , Vishwa Prakash HV , Aditi Sethia , Rakshitha

In the budget-feasible allocation problem, a set of items with varied sizes and values are to be allocated to a group of agents. Each agent has a budget constraint on the total size of items she can receive. The goal is to compute a…

计算机科学与博弈论 · 计算机科学 2021-06-29 Jiarui Gan , Bo Li , Xiaowei Wu

We study fair allocation of resources consisting of both divisible and indivisible goods to agents with additive valuations. When only divisible or indivisible goods exist, it is known that an allocation that achieves the maximum Nash…

计算机科学与博弈论 · 计算机科学 2025-09-03 Koichi Nishimura , Hanna Sumita