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The problem of dividing resources fairly occurs in many practical situations and is therefore an important topic of study in economics. In this paper, we investigate envy-free divisions in the setting where there are multiple players in…

计算机科学与博弈论 · 计算机科学 2020-01-17 Pasin Manurangsi , Warut Suksompong

In recent years, many new and interesting models of successful online business have been developed. Many of these are based on the competition between users, such as online auctions, where the product price is not fixed and tends to rise.…

经济学 · 定量金融 2016-03-01 Pierluigi Gallo , Francesco Randazzo , Ignazio Gallo

We study the following multiagent variant of the knapsack problem. We are given a set of items, a set of voters, and a value of the budget; each item is endowed with a cost and each voter assigns to each item a certain value. The goal is to…

计算机科学与博弈论 · 计算机科学 2018-11-14 Till Fluschnik , Piotr Skowron , Mervin Triphaus , Kai Wilker

Sequential allocation is a simple and attractive mechanism for the allocation of indivisible goods. Agents take turns, according to a policy, to pick items. Sequential allocation is guaranteed to return an allocation which is efficient but…

人工智能 · 计算机科学 2018-01-17 Haris Aziz , Thomas Kalinowski , Toby Walsh , Lirong Xia

We consider optimal mechanism design for the case with one buyer and two items. The buyer's valuations towards the two items are independent and additive. In this setting, optimal mechanism is unknown for general valuation distributions. We…

计算机科学与博弈论 · 计算机科学 2014-04-30 Zihe Wang , Pingzhong Tang

In this paper, we explore the challenge of assortment planning in the context of quick-commerce, a rapidly-growing business model that aims to deliver time-sensitive products. In order to achieve quick delivery to satisfy the immediate…

最优化与控制 · 数学 2025-08-06 Yajing Chen , Taotao He , Ying Rong , Yunlong Wang

We study the question of existence and fast computation of fair and efficient allocations of indivisible resources among agents with additive valuations. As such allocations may not exist for arbitrary instances, we ask if they exist for…

计算机科学与博弈论 · 计算机科学 2025-12-22 Aprup Kale , Rucha Kulkarni , Navya Garg

We study an online fair division setting, where goods arrive one at a time and there is a fixed set of $n$ agents, each of whom has an additive valuation function over the goods. Once a good appears, the value each agent has for it is…

计算机科学与博弈论 · 计算机科学 2025-05-29 Georgios Amanatidis , Alexandros Lolos , Evangelos Markakis , Victor Turmel

We study the allocation of indivisible goods among groups of agents using well-known fairness notions such as envy-freeness and proportionality. While these notions cannot always be satisfied, we provide several bounds on the optimal…

计算机科学与博弈论 · 计算机科学 2022-08-24 Pasin Manurangsi , Warut Suksompong

We study the power of item-pricing as a tool for approximately optimizing social welfare in a combinatorial market. We consider markets with $m$ indivisible items and $n$ buyers. The goal is to set prices to the items so that, when agents…

计算机科学与博弈论 · 计算机科学 2015-11-10 Michal Feldman , Nick Gravin , Brendan Lucier

We consider an assignment problem that has aspects of fair division as well as social choice. In particular, we investigate the problem of assigning a small subset from a set of indivisible items to multiple players so that the chosen…

计算机科学与博弈论 · 计算机科学 2019-02-06 Warut Suksompong

We consider the offline sorting buffer problem. The input is a sequence of items of different types. All items must be processed one by one by a server. The server is equipped with a random-access buffer of limited capacity which can be…

数据结构与算法 · 计算机科学 2010-09-23 Ho-Leung Chan , Nicole Megow , Rob van Stee , Rene Sitters

We study optimal bundling when consumers differ in one dimension. We introduce a partial order on the set of bundles defined by (i) set inclusion and (ii) sales volumes (if sold alone and priced optimally). We show that if the undominated…

理论经济学 · 经济学 2023-04-11 Frank Yang

We revisit the classic online bin packing problem. In this problem, items of positive sizes no larger than 1 are presented one by one to be packed into subsets called "bins" of total sizes no larger than 1, such that every item is assigned…

数据结构与算法 · 计算机科学 2017-07-07 János Balogh , József Békési , György Dósa , Leah Epstein , Asaf Levin

Price discrimination, which refers to the strategy of setting different prices for different customer groups, has been widely used in online retailing. Although it helps boost the collected revenue for online retailers, it might create…

机器学习 · 计算机科学 2023-07-31 Xi Chen , Jiameng Lyu , Xuan Zhang , Yuan Zhou

In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is the following: at each stage, a designated agent picks one object among those that…

计算机科学与博弈论 · 计算机科学 2016-04-07 Sylvain Bouveret , Michel Lemaître

We are interested in the problem of optimal commitments in rank-and-bid based auctions, a general class of auctions that include first price and all-pay auctions as special cases. Our main contribution is a novel approach to solve for…

计算机科学与博弈论 · 计算机科学 2015-02-27 Zihe Wang , Pingzhong Tang

We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

计算机科学与博弈论 · 计算机科学 2020-04-20 Yang Cai , Mingfei Zhao

We study the problem of packing a knapsack without knowing its capacity. Whenever we attempt to pack an item that does not fit, the item is discarded; if the item fits, we have to include it in the packing. We show that there is always a…

数据结构与算法 · 计算机科学 2013-07-11 Yann Disser , Max Klimm , Nicole Megow , Sebastian Stiller

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

人工智能 · 计算机科学 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar