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We take a unifying approach to single selection optimal stopping problems with random arrival order and independent sampling of items. In the problem we consider, a decision maker (DM) initially gets to sample each of $N$ items…

Computer Science and Game Theory · Computer Science 2021-08-11 José Correa , Andrés Cristi , Boris Epstein , José Soto

In this work, we study the multi-agent assortment optimization problem in the two-sided sequential matching model introduced by Ashlagi et al. (2022). The setting is the following: we (the platform) offer a menu of suppliers to each…

Computer Science and Game Theory · Computer Science 2023-09-21 Alfredo Torrico , Margarida Carvalho , Andrea Lodi

Suppose a customer is faced with a sequence of fluctuating prices, such as for airfare or a product sold by a large online retailer. Given distributional information about what price they might face each day, how should they choose when to…

Data Structures and Algorithms · Computer Science 2019-10-10 Hossein Esfandiari , MohammadTaghi HajiAghayi , Brendan Lucier , Michael Mitzenmacher

We introduce a model of competing agents in a prophet setting, where rewards arrive online, and decisions are made immediately and irrevocably. The rewards are unknown from the outset, but they are drawn from a known probability…

Computer Science and Game Theory · Computer Science 2021-07-02 Tomer Ezra , Michal Feldman , Ron Kupfer

The rich literature on online Bayesian selection problems has long focused on so-called prophet inequalities, which compare the gain of an online algorithm to that of a "prophet" who knows the future. An equally-natural, though…

Data Structures and Algorithms · Computer Science 2021-08-19 Christos Papadimitriou , Tristan Pollner , Amin Saberi , David Wajc

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

This paper investigates a stochastic inventory management problem in which a cash-constrained small retailer periodically purchases a product from suppliers and sells it to a market while facing non-stationary demands. In each period, the…

Optimization and Control · Mathematics 2021-08-13 Zhen Chen , Roberto Rossi

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.…

Machine Learning · Computer Science 2019-06-03 Alon Cohen , Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Shay Moran

When allocating indivisible items to agents, it is known that the only strategyproof mechanisms that satisfy a set of rather mild conditions are constrained serial dictatorships: given a fixed order over agents, at each step the designated…

Computer Science and Game Theory · Computer Science 2025-02-28 Sylvain Bouveret , Hugo Gilbert , Jérôme Lang , Guillaume Méroué

The billboard advertisement has emerged as an effective out-of-home advertisement technique where the objective is to choose a limited number of slots to play some advertisement content (e.g., animation, video, etc.) with the hope that the…

Databases · Computer Science 2025-10-24 Dildar Ali , Suman Banerjee , Yamuna Prasad

Numerous recent papers have studied the tension between thickening and clearing a market in (uncertain, online) long-time horizon Markovian settings. In particular, (Aouad and Sarita{\c{c}} EC'20, Collina et al. WINE'20, Kessel et al.…

Computer Science and Game Theory · Computer Science 2024-01-23 Neel Patel , David Wajc

Crowdfunding, which is the act of raising funds from a large number of people's contributions, is among the most popular research topics in economic theory. Due to the fact that crowdfunding platforms (CFPs) have facilitated the process of…

Mathematical Finance · Quantitative Finance 2022-07-18 Fatemeh Nosrat

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

Computer Science and Game Theory · Computer Science 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

While single-purchase choice models have been widely studied in assortment optimization, customers in modern retail and e-commerce environments often purchase multiple items across distinct product categories, exhibiting both substitution…

Optimization and Control · Mathematics 2025-10-03 Omar El Housni , Shuo Sun , Rajan Udwani

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We present pricing mechanisms for several online resource allocation problems which obtain tight or nearly tight approximations to social welfare. In our settings, buyers arrive online and purchase bundles of items; buyers' values for the…

Computer Science and Game Theory · Computer Science 2018-07-16 Shuchi Chawla , J. Benjamin Miller , Yifeng Teng

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…

Optimization and Control · Mathematics 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

We consider a dynamic pricing problem in network revenue management where customer behavior is predicted by a choice model, i.e., the multinomial logit (MNL) model. The problem, even in the static setting (i.e., customer demand remains…

Optimization and Control · Mathematics 2025-01-06 Qian Shao , Tien Mai , Shih-Fen Cheng

Motivated by the applications of rental services in e-commerce, we consider revenue maximization in online assortment of reusable resources for a stream of arriving consumers with different types. We design competitive online algorithms…

Data Structures and Algorithms · Computer Science 2025-12-09 Yiding Feng , Rad Niazadeh , Amin Saberi

A fundamental problem in revenue management is to optimally choose the attributes of products, such that the total profit or revenue or market share is maximized. Usually, these attributes can affect both a product's market share…

Optimization and Control · Mathematics 2021-12-24 Hongzhang Shao , Anton J. Kleywegt
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