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We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

最优化与控制 · 数学 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang

We study the problem of fairly allocating $m$ indivisible goods to $n$ agents, where agents may have different preferences over the goods. In the traditional setting, agents' valuations are provided as inputs to the algorithm. In this…

计算机科学与博弈论 · 计算机科学 2025-08-05 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

Finding the optimal (revenue-maximizing) mechanism to sell multiple items has been a prominent and notoriously difficult open problem. Existing work has mainly focused on deriving analytical results tailored to a particular class of…

理论经济学 · 经济学 2026-01-09 Kento Hashimoto , Keita Kuwahara , Reo Nonaka

We study an assortment optimization problem under a multi-purchase choice model in which customers choose a bundle of up to one product from each of two product categories. Different bundles have different utilities and the bundle price is…

数据结构与算法 · 计算机科学 2022-10-12 Xin Chen , Jiachun Li , Menglong Li , Tiancheng Zhao , Yuan Zhou

The theory of algorithmic fair allocation is within the center of multi-agent systems and economics in the last decade due to its industrial and social importance. At a high level, the problem is to assign a set of items that are either…

计算机科学与博弈论 · 计算机科学 2022-02-18 Haris Aziz , Bo Li , Herve Moulin , Xiaowei Wu

We study the fundamental problem of fairly allocating a multiset $\mathcal{M}$ of $t$ types of indivisible items among $d$ groups of agents, where all agents within a group have identical additive valuations. Gorantla et al. [GMV23] showed…

计算机科学与博弈论 · 计算机科学 2026-03-09 Egor Gagushin , Marios Mertzanidis , Alexandros Psomas

Incentives are more likely to elicit desired outcomes when they are designed based on accurate models of agents' strategic behavior. A growing literature, however, suggests that people do not quite behave like standard economic agents in a…

计算机科学与博弈论 · 计算机科学 2014-06-09 Arpita Ghosh , Robert Kleinberg

In this paper, we study the assortment optimization problem faced by many online retailers such as Amazon. We develop a \emph{cascade multinomial logit model}, based on the classic multinomial logit model, to capture the consumers'…

机器学习 · 计算机科学 2020-07-15 Shaojie Tang , Jing Yuan

Multi-item revenue-optimal mechanisms are known to be extremely complex, often offering buyers randomized lotteries of goods. In the standard buy-one model, it is known that optimal mechanisms can yield revenue infinitely higher than that…

计算机科学与博弈论 · 计算机科学 2022-11-22 Sepehr Assadi , Vikram Kher , George Li , Ariel Schvartzman

This paper studies some basic problems in a multiple-object auction model using methodologies from theoretical computer science. We are especially concerned with situations where an adversary bidder knows the bidding algorithms of all the…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Junfeng Qi , Lei Tan

We study the problem of characterizing revenue optimal auctions for single-minded buyers. Each buyer is interested only in a specific bundle of items and has a value for the same. Both his bundle and its value are his private information.…

计算机科学与博弈论 · 计算机科学 2010-09-14 Vineet Abhishek , Bruce Hajek

We study the revenue guarantees and approximability of item pricing. Recent work shows that with $n$ heterogeneous items, item-pricing guarantees an $O(\log n)$ approximation to the optimal revenue achievable by any (buy-many) mechanism,…

计算机科学与博弈论 · 计算机科学 2021-11-08 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

To address efficiency and design challenges in choice-based matching platforms, we introduce a two-sided assortment optimization framework under general choice preferences. The goal in this problem is to maximize the expected number of…

最优化与控制 · 数学 2026-05-08 Omar El Housni , Ulysse Hennebelle , Alfredo Torrico

In combinatorial auctions, a designer must decide how to allocate a set of indivisible items amongst a set of bidders. Each bidder has a valuation function which gives the utility they obtain from any subset of the items. Our focus is…

计算机科学与博弈论 · 计算机科学 2017-03-31 Shaddin Dughmi , Bryan Wilder

Consider a very large (infinite) population of items, where each item independent from the others is defective with probability p, or good with probability q=1-p. The goal is to identify N good items as quickly as possible. The following…

其他统计学 · 统计学 2018-04-17 Yaakov Malinovsky

We present a method for finding envy-free prices in a combinatorial auction where the consumers' number $n$ coincides with that of distinct items for sale, each consumer can buy one single item and each item has only one unit available.…

计算机科学与博弈论 · 计算机科学 2023-08-25 Marcos Salvatierra , Juan G. Colonna , Mario Salvatierra , Alcides de C. Amorim Neto

We study the problem of finding a small subset of items that is \emph{agreeable} to all agents, meaning that all agents value the subset at least as much as its complement. Previous work has shown worst-case bounds, over all instances with…

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

We revisit the problem of large-scale assortment optimization under the multinomial logit choice model without any assumptions on the structure of the feasible assortments. Scalable real-time assortment optimization has become essential in…

最优化与控制 · 数学 2018-05-02 Deeksha Sinha , Theja Tulabandhula

We study buyer-optimal procurement mechanisms when quality is contractible. When some costs are borne by every participant of a procurement auction regardless of winning, the classic analysis should be amended. We show that an optimal…

理论经济学 · 经济学 2024-11-20 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

The assortment problem in revenue management is the problem of deciding which subset of products to offer to consumers in order to maximise revenue. A simple and natural strategy is to select the best assortment out of all those that are…

数据结构与算法 · 计算机科学 2019-02-22 Gerardo Berbeglia , Gwenaël Joret