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We consider online variations of the Pandora's box problem (Weitzman. 1979), a standard model for understanding issues related to the cost of acquiring information for decision-making. Our problem generalizes both the classic Pandora's box…

Data Structures and Algorithms · Computer Science 2019-01-31 Hossein Esfandiari , MohammadTaghi Hajiaghayi , Brendan Lucier , Michael Mitzenmacher

The Pandora's Box Problem, originally formalized by Weitzman in 1979, models selection from set of random, alternative options, when evaluation is costly. This includes, for example, the problem of hiring a skilled worker, where only one…

Computer Science and Game Theory · Computer Science 2024-02-20 Shant Boodaghians , Federico Fusco , Philip Lazos , Stefano Leonardi

Pandora's Box is a fundamental stochastic optimization problem, where the decision-maker must find a good alternative while minimizing the search cost of exploring the value of each alternative. In the original formulation, it is assumed…

The Pandora's box problem (Weitzman 1979) is a core model in economic theory that captures an agent's (Pandora's) search for the best alternative (box). We study an important generalization of the problem where the agent can either fully…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Ali Aouad , Jingwei Ji , Yaron Shaposhnik

Weitzman introduced Pandora's box problem as a mathematical model of sequential search with inspection costs, in which a searcher is allowed to select a prize from one of $n$ alternatives. Several decades later, Doval introduced a close…

Data Structures and Algorithms · Computer Science 2022-12-06 Hedyeh Beyhaghi , Linda Cai

Weitzman (1979) introduced the Pandora Box problem as a model for sequential search with inspection costs, and gave an elegant index-based policy that attains provably optimal expected payoff. In various scenarios, the searching agent may…

Data Structures and Algorithms · Computer Science 2022-12-06 Hu Fu , Jiawei Li , Daogao Liu

In 1979, Weitzman introduced Pandora's box problem as a framework for sequential search with costly inspections. Recently, there has been a surge of interest in Pandora's box problem, particularly among researchers working at the…

Computer Science and Game Theory · Computer Science 2023-08-24 Hedyeh Beyhaghi , Linda Cai

In a classic model analysed by Weitzman an agent is presented with boxes containing prizes. She may open boxes in any order, discover prizes within, and optimally stop. She wishes to maximize the expected value of the greatest prize found,…

Optimization and Control · Mathematics 2015-10-01 Wojciech Olszewski , Richard Weber

Pandora's Box is a central problem in decision making under uncertainty that can model various real life scenarios. In this problem we are given $n$ boxes, each with a fixed opening cost, and an unknown value drawn from a known…

Data Structures and Algorithms · Computer Science 2023-02-01 Evangelia Gergatsouli , Christos Tzamos

We study a natural competitive-information-design strategic variant for the celebrated Pandora's Box problem (Weitzman, 1979), where each box is associated with a strategic information sender who can design what information about the box's…

Computer Science and Game Theory · Computer Science 2025-02-25 Bolin Ding , Yiding Feng , Chien-Ju Ho , Wei Tang , Haifeng Xu

This paper revisits the classic Pandora's box problem, studying a decision-maker (DM) who seeks to minimize her maximal ex-post regret. The DM decides how many options to explore and in what order, before choosing one or taking an outside…

Theoretical Economics · Economics 2025-12-25 Sarah Auster , Yeon-Koo Che

The Pandora's Box problem and its extensions capture optimization problems with stochastic input where the algorithm can obtain instantiations of input random variables at some cost. To our knowledge, all previous work on this class of…

Data Structures and Algorithms · Computer Science 2020-04-17 Shuchi Chawla , Evangelia Gergatsouli , Yifeng Teng , Christos Tzamos , Ruimin Zhang

Large language model (LLM) generation often requires balancing output quality against inference cost, especially when using multiple generations. We introduce a new framework for inference-time optimization based on the classical Pandora's…

Machine Learning · Computer Science 2025-10-03 Yusuf Kalayci , Vinod Raman , Shaddin Dughmi

A decisionmaker faces $n$ alternatives, each of which represents a potential reward. After investing costly resources into investigating the alternatives, the decisionmaker may select one, or more generally a feasible subset, and obtain the…

Computer Science and Game Theory · Computer Science 2026-04-02 Robin Bowers , Elias Lindgren , Bo Waggoner

We revisit the classic Pandora's Box (PB) problem under correlated distributions on the box values. Recent work of arXiv:1911.01632 obtained constant approximate algorithms for a restricted class of policies for the problem that visit boxes…

Data Structures and Algorithms · Computer Science 2023-07-25 Shuchi Chawla , Evangelia Gergatsouli , Jeremy McMahan , Christos Tzamos

We study a natural application of contract design in the context of sequential exploration problems. In our principal-agent setting, a search task is delegated to an agent. The agent performs a sequential exploration of $n$ boxes, suffers…

Computer Science and Game Theory · Computer Science 2025-01-27 Martin Hoefer , Conrad Schecker , Kevin Schewior

Two central problems in Stochastic Optimization are Min Sum Set Cover and Pandora's Box. In Pandora's Box, we are presented with $n$ boxes, each containing an unknown value and the goal is to open the boxes in some order to minimize the sum…

Machine Learning · Computer Science 2022-06-02 Evangelia Gergatsouli , Christos Tzamos

We consider search problems with nonobligatory inspection and single-item or combinatorial selection. A decision maker is presented with a number of items, each of which contains an unknown price, and can pay an inspection cost to observe…

Computer Science and Game Theory · Computer Science 2025-01-17 Ziv Scully , Laura Doval

We investigate the role of inaccurate priors for the classical Pandora's box problem. In the classical Pandora's box problem we are given a set of boxes each with a known cost and an unknown value sampled from a known distribution. We…

Data Structures and Algorithms · Computer Science 2025-02-07 Kiarash Banihashem , Xiang Chen , MohammadTaghi Hajiaghayi , Sungchul Kim , Kanak Mahadik , Ryan Rossi , Tong Yu

In delegation problems, a principal does not have the resources necessary to complete a particular task, so they delegate the task to an untrusted agent whose interests may differ from their own. Given any family of such problems and space…

Computer Science and Game Theory · Computer Science 2022-02-22 Curtis Bechtel , Shaddin Dughmi , Neel Patel
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