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We study the power of (competitive) algorithms with predictions in a multiagent setting. To this goal, we introduce a multiagent version of the ski-rental problem. In this problem agents can collaborate by pooling resources to get a group…

Computer Science and Game Theory · Computer Science 2025-07-15 Gabriel Istrate , Cosmin Bonchiş , Victor Bogdan

The learning-augmented multi-option ski rental problem generalizes the classical ski rental problem in two ways: the algorithm is provided with a prediction on the number of days we can ski, and the ski rental options now come with a…

Data Structures and Algorithms · Computer Science 2023-12-06 Yongho Shin , Changyeol Lee , Hyung-Chan An

In the Multislope Ski Rental problem, the user needs a certain resource for some unknown period of time. To use the resource, the user must subscribe to one of several options, each of which consists of a one-time setup cost (``buying…

Data Structures and Algorithms · Computer Science 2008-02-21 Zvi Lotker , Boaz Patt-Shamir , Dror Rawitz

The ski rental problem is a canonical model for online decision-making under uncertainty, capturing the fundamental trade-off between repeated rental costs and a one-time purchase. While classical algorithms focus on worst-case competitive…

Machine Learning · Computer Science 2026-04-01 Jihwan Kim , Chenglin Fan

The classical ski-rental problem admits a textbook 2-competitive deterministic algorithm, and a simple randomized algorithm that is $\frac{e}{e-1}$-competitive in expectation. The randomized algorithm, while optimal in expectation, has a…

Data Structures and Algorithms · Computer Science 2023-08-10 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

We consider the {\em multi-shop ski rental} problem. This problem generalizes the classic ski rental problem to a multi-shop setting, in which each shop has different prices for renting and purchasing a pair of skis, and a \emph{consumer}…

Computer Science and Game Theory · Computer Science 2014-04-11 Lingqing Ai , Xian Wu , Lingxiao Huang , Longbo Huang , Pingzhong Tang , Jian Li

We study the power of (competitive) algorithms with predictions in a multiagent setting. We introduce a two predictor framework, that assumes that agents use one predictor for their future (self) behavior, and one for the behavior of the…

Multiagent Systems · Computer Science 2025-07-18 Gabriel Istrate , Cosmin Bonchis , Victor Bogdan

In this paper, we present improved learning-augmented algorithms for the multi-option ski rental problem. Learning-augmented algorithms take ML predictions as an added part of the input and incorporates these predictions in solving the…

Data Structures and Algorithms · Computer Science 2023-02-15 Yongho Shin , Changyeol Lee , Gukryeol Lee , Hyung-Chan An

The classical 'buy or rent' ski-rental problem was recently considered in the setting where multiple experts (such as Machine Learning algorithms) advice on the length of the ski season. Here, robust algorithms were developed with improved…

Machine Learning · Computer Science 2021-04-22 Anant Shah , Arun Rajkumar

We consider a variant of the classic Ski Rental online algorithm with applications to machine learning. In our variant, we allow the skier access to a black-box machine-learning algorithm that provides an estimate of the probability that…

Machine Learning · Computer Science 2019-03-14 Rohan Kodialam

We study the online problem of minimizing power consumption in systems with multiple power-saving states. During idle periods of unknown lengths, an algorithm has to choose between power-saving states of different energy consumption and…

Data Structures and Algorithms · Computer Science 2021-10-26 Antonios Antoniadis , Christian Coester , Marek Eliáš , Adam Polak , Bertrand Simon

We revisit the classic ski rental problem through the lens of Bayesian decision-making and machine-learned predictions. While traditional algorithms minimize worst-case cost without assumptions, and recent learning-augmented approaches…

Machine Learning · Computer Science 2025-12-09 Bosun Kang , Hyejun Park , Chenglin Fan

We study the problem of augmenting online algorithms with machine learned (ML) advice. In particular, we consider the \emph{multi-shop ski rental} (MSSR) problem, which is a generalization of the classical ski rental problem. In MSSR, each…

Data Structures and Algorithms · Computer Science 2020-10-26 Shufan Wang , Jian Li , Shiqiang Wang

We revisit the central online problem of ski rental in the "algorithms with predictions" framework from the point of view of distributional predictions. Ski rental was one of the first problems to be studied with predictions, where a…

Machine Learning · Computer Science 2026-02-25 Qiming Cui , Michael Dinitz

We study the design of risk-sensitive online algorithms, in which risk measures are used in the competitive analysis of randomized online algorithms. We introduce the CVaR$_\delta$-competitive ratio ($\delta$-CR) using the conditional…

Data Structures and Algorithms · Computer Science 2024-05-28 Nicolas Christianson , Bo Sun , Steven Low , Adam Wierman

Problem definition: In many matching markets, some agents are fully flexible, while others only accept a subset of jobs. For example, ridesharing drivers can specify on the platform the destinations they are willing to accept. Conventional…

Computer Science and Game Theory · Computer Science 2026-01-30 Chiwei Yan , Francisco Castro , Peter Frazier , Hongyao Ma , Hamid Nazerzadeh

We study the optimal solution to a general two-slope ski rental problem with a tail risk, i.e., the chance of the competitive ratio exceeding a value $\gamma$ is bounded by $\delta$. This extends the recent study of tail bounds for ski…

Data Structures and Algorithms · Computer Science 2025-08-14 Qiming Cui , Michael Dinitz

In cloud computing, users scale their resources (computational) based on their need. There is massive literature dealing with such resource scaling algorithms. These works ignore a fundamental constrain imposed by all Cloud Service…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-01 Gourav Saha , Ramkrishna Pasumarthy

We study \emph{rental games} -- a single-parameter dynamic mechanism design problem, in which a designer rents out an indivisible asset over $n$ days. Each day, an agent arrives with a private valuation per day of rental, drawn from that…

Computer Science and Game Theory · Computer Science 2025-05-13 Batya Berzack , Rotem Oshman , Inbal Talgam-Cohen

Bike-sharing systems are emerging in various cities as a new ecofriendly transportation system. In these systems, spatiotemporally varying user demands lead to imbalanced inventory at bicycle stations, resulting in additional relocation…

Machine Learning · Computer Science 2025-09-01 Tatsuya Mitomi , Fumiyasu Makinoshima , Fumiya Makihara , Eigo Segawa
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