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We show that the Revenue-Optimal Deterministic Mechanism Design problem for a single additive buyer is #P-hard, even when the distributions have support size 2 for each item and, more importantly, even when the optimal solution is…

计算机科学与博弈论 · 计算机科学 2017-07-17 Xi Chen , George Matikas , Dimitris Paparas , Mihalis Yannakakis

We consider the revenue maximization problem with sharp multi-demand, in which $m$ indivisible items have to be sold to $n$ potential buyers. Each buyer $i$ is interested in getting exactly $d_i$ items, and each item $j$ gives a benefit…

计算机科学与博弈论 · 计算机科学 2013-12-16 Vittorio Bilò , Michele Flammini , Gianpiero Monaco

Social goods are goods that grant value not only to their owners but also to the owners' surroundings, be it their families, friends or office mates. The benefit a non-owner derives from the good is affected by many factors, including the…

计算机科学与博弈论 · 计算机科学 2017-07-04 Alon Eden , Tomer Ezra , Michal Feldman

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

机器学习 · 统计学 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

In markets where customers tend to purchase baskets of products rather than single products, assortment optimization is a major challenge for retailers. Removing a product from a retailer's assortment can result in a severe drop in…

最优化与控制 · 数学 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

计算机科学与博弈论 · 计算机科学 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

Imagine a large firm with multiple departments that plans a large recruitment. Candidates arrive one-by-one, and for each candidate the firm decides, based on her data (CV, skills, experience, etc), whether to summon her for an interview.…

机器学习 · 计算机科学 2019-06-03 Alon Cohen , Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Shay Moran

Package-to-group recommender systems recommend a set of unified items to a group of people. Different from conventional settings, it is not easy to measure the utility of group recommendations because it involves more than one user. In…

信息检索 · 计算机科学 2021-12-30 Ryoma Sato

Good economic mechanisms depend on the preferences of participants in the mechanism. For example, the revenue-optimal auction for selling an item is parameterized by a reserve price, and the appropriate reserve price depends on how much the…

计算机科学与博弈论 · 计算机科学 2014-06-10 Shuchi Chawla , Jason Hartline , Denis Nekipelov

This paper considers a novel variant of the online fair division problem involving multiple agents in which a learner sequentially observes an indivisible item that has to be irrevocably allocated to one of the agents while satisfying a…

机器学习 · 计算机科学 2025-05-30 Arun Verma , Indrajit Saha , Makoto Yokoo , Bryan Kian Hsiang Low

We study the problem of dynamic assortment personalization with large, heterogeneous populations and wide arrays of products, and demonstrate the importance of structural priors for effective, efficient large-scale personalization.…

机器学习 · 统计学 2019-05-03 Nathan Kallus , Madeleine Udell

Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

最优化与控制 · 数学 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

Let D be a database of N objects where each object has m fields. The objects are given in m sorted lists (where the ith list is sorted according to the ith field). Our goal is to find the top k objects according to a monotone aggregation…

数据库 · 计算机科学 2007-05-23 Ron Fagin , Amnon Lotem , Moni Naor

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

人工智能 · 计算机科学 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

With spectrum auctions as our prime motivation, in this paper we analyze combinatorial auctions where agents' valuations exhibit complementarities. Assuming that the agents only value bundles of size at most $k$ and also assuming that we…

计算机科学与博弈论 · 计算机科学 2016-06-07 Dengwang Tang , Vijay Subramanian

I study the optimal allocation of positional goods in the presence of externalities arising from consumers' concerns about relative consumption. Applications include luxury goods, priority services, education, and organizational…

理论经济学 · 经济学 2025-10-10 Peiran Xiao

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

计算机科学与博弈论 · 计算机科学 2026-04-21 Ayumi Igarashi , Frédéric Meunier

In the allocation of resources to a set of agents, how do fairness guarantees impact the social welfare? A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness…

计算机科学与博弈论 · 计算机科学 2020-11-03 Siddharth Barman , Umang Bhaskar , Nisarg Shah

We study different online optimization problems in the random-order model. There is a finite set of bins with known capacity and a finite set of items arriving in a random order. Upon arrival of an item, its size and its value for each of…

数据结构与算法 · 计算机科学 2025-04-03 Max Klimm , Martin Knaack

The optimal pricing problem is a fundamental problem that arises in combinatorial auctions. Suppose that there is one seller who has indivisible items and multiple buyers who want to purchase a combination of the items. The seller wants to…

计算机科学与博弈论 · 计算机科学 2016-11-24 Takanori Maehara , Yasushi Kawase , Hanna Sumita , Katsuya Tono , Ken-ichi Kawarabayashi