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Combinatorial Auctions are a central problem in Algorithmic Mechanism Design: pricing and allocating goods to buyers with complex preferences in order to maximize some desired objective (e.g., social welfare, revenue, or profit). The…

计算机科学与博弈论 · 计算机科学 2015-03-19 Avrim Blum , Anupam Gupta , Yishay Mansour , Ankit Sharma

We study the problem of online resource allocation, where multiple customers arrive sequentially and the seller must irrevocably allocate resources to each incoming customer while also facing a procurement cost for the total allocation.…

最优化与控制 · 数学 2020-12-24 Mitas Ray , Omid Sadeghi , Lillian J. Ratliff , Maryam Fazel

Consider the seller's problem of finding optimal prices for her $n$ (divisible) goods when faced with a set of $m$ consumers, given that she can only observe their purchased bundles at posted prices, i.e., revealed preferences. We study…

计算机科学与博弈论 · 计算机科学 2018-10-09 Ziwei Ji , Ruta Mehta , Matus Telgarsky

Matching problems have been widely studied in the research community, especially Ad-Auctions with many applications ranging from network design to advertising. Following the various advancements in machine learning, one natural question is…

数据结构与算法 · 计算机科学 2024-02-15 Eniko Kevi , Nguyen Kim Thang

Primal-dual methods in online optimization give several of the state-of-the art results in both of the most common models: adversarial and stochastic/random order. Here we try to provide a more unified analysis of primal-dual algorithms to…

数据结构与算法 · 计算机科学 2020-11-04 Marco Molinaro

We study a general online combinatorial auction problem in algorithmic mechanism design. A provider allocates multiple types of capacity-limited resources to customers that arrive in a sequential and arbitrary manner. Each customer has a…

计算机科学与博弈论 · 计算机科学 2023-10-10 Xiaoqi Tan , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang

We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

The domain of online algorithms with predictions has been extensively studied for different applications such as scheduling, caching (paging), clustering, ski rental, etc. Recently, Bamas et al., aiming for an unified method, have provided…

数据结构与算法 · 计算机科学 2021-10-04 Nguyen Kim Thang , Christoph Durr

We consider the problem of a firm seeking to use personalized pricing to sell an exogenously given stock of a product over a finite selling horizon to different consumer types. We assume that the type of an arriving consumer can be observed…

机器学习 · 计算机科学 2021-10-08 Ningyuan Chen , Guillermo Gallego

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

Dynamic pricing schemes were introduced as an alternative to posted-price mechanisms. In contrast to static models, the dynamic setting allows to update the prices between buyer-arrivals based on the remaining sets of items and buyers, and…

计算机科学与博弈论 · 计算机科学 2022-04-27 Kristóf Bérczi , Erika R. Bérczi-Kovács , Evelin Szögi

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

最优化与控制 · 数学 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

We study packing LPs in an online model where the columns are presented to the algorithm in random order. This natural problem was investigated in various recent studies motivated, e.g., by online ad allocations and yield management where…

数据结构与算法 · 计算机科学 2013-11-12 Thomas Kesselheim , Klaus Radke , Andreas Tönnis , Berthold Vöcking

It was recently shown in [http://arxiv.org/abs/1207.5518] that revenue optimization can be computationally efficiently reduced to welfare optimization in all multi-dimensional Bayesian auction problems with arbitrary (possibly…

计算机科学与博弈论 · 计算机科学 2013-05-20 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

We reinterpret some online greedy algorithms for a class of nonlinear "load-balancing" problems as solving a mathematical program online. For example, we consider the problem of assigning jobs to (unrelated) machines to minimize the sum of…

数据结构与算法 · 计算机科学 2011-09-28 Anupam Gupta , Ravishankar Krishnaswamy , Kirk Pruhs

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

计算机科学与博弈论 · 计算机科学 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg

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

Online markets are a part of everyday life, and their rules are governed by algorithms. Assuming participants are inherently self-interested, well designed rules can help to increase social welfare. Many algorithms for online markets are…

计算机科学与博弈论 · 计算机科学 2022-02-01 Kanstantsin Pashkovich , Xinyue Xie

The online randomized primal-dual method has widespread applications in online algorithm design and analysis. A key challenge is identifying an appropriate function space, $F$, in which we search for an optimal updating function $f \in F$…

数据结构与算法 · 计算机科学 2025-12-16 Pan Xu

In this paper, we study a certain class of online optimization problems, where the goal is to maximize a function that is not necessarily concave and satisfies the Diminishing Returns (DR) property under budget constraints. We analyze a…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Reza Eghbali , Maryam Fazel
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