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In this paper, we present a novel method for computing the asymptotic values of both the optimal threshold, and the probability of success in sequences of optimal stopping problems. This method, based on the resolution of a first-order…

Probability · Mathematics 2022-05-18 L. Bayón , P. Fortuny , J. M. Grau , A. M. Oller-Marcén , M. M. Ruiz

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

Computer Science and Game Theory · Computer Science 2018-02-27 Batya Kenig

The algorithm selection problem is to choose the most suitable algorithm for solving a given problem instance. It leverages the complementarity between different approaches that is present in many areas of AI. We report on the state of the…

Artificial Intelligence · Computer Science 2018-10-05 Marius Lindauer , Jan N. van Rijn , Lars Kotthoff

In the "secretary problem", well-known in the theory of optimal stopping, an employer is about to interview a maximum of N secretaries about which she has no prior information. Chow et al. proved that with an optimal strategy the expected…

Combinatorics · Mathematics 2007-05-23 Kimmo Eriksson , Jonas Sjostrand , Pontus Strimling

This paper considers the ranking problem of candidates for a certain position based on ballot papers filled by voters. We suggest a ranking procedure of alternatives using cooperative game theory methods. For this, it is necessary to…

Computer Science and Game Theory · Computer Science 2022-09-09 Aleksei Kondratev , Vladimir Mazalov

Optimal stopping problems give rise to random distributions describing how many applicants the decision-maker will sample or interview before choosing one, a quantity sometimes referred to as the search time or process duration. This…

Applications · Statistics 2019-12-13 Simon Demers

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

Online advertising has motivated interest in online selection problems. Displaying ads to the right users benefits both the platform (e.g., via pay-per-click) and the advertisers (by increasing their reach). In practice, not all users click…

Computer Science and Game Theory · Computer Science 2024-08-16 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

Scenario decision making offers a flexible way of making decision in an uncertain environment while obtaining probabilistic guarantees on the risk of failure of the decision. The idea of this approach is to draw samples of the uncertainty…

Optimization and Control · Mathematics 2025-09-03 Guillaume O. Berger

We develop a novel framework that aims to create bridges between the computational social choice and the database management communities. This framework enriches the tasks currently supported in computational social choice with relational…

Databases · Computer Science 2018-05-14 Benny Kimelfeld , Phokion G. Kolaitis , Julia Stoyanovich

A principal can restrict an agent's information (the persuasion problem) or restrict an agent's discretion (the delegation problem). We show that these problems are generally equivalent - solving one solves the other. We use tools from the…

Theoretical Economics · Economics 2019-02-08 Anton Kolotilin , Andriy Zapechelnyuk

Ranking problems, also known as preference learning problems, define a widely spread class of statistical learning problems with many applications, including fraud detection, document ranking, medicine, credit risk screening, image ranking…

Machine Learning · Computer Science 2020-12-17 Tino Werner

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

Optimization and Control · Mathematics 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites

Dealing with datasets of very high dimension is a major challenge in machine learning. In this paper, we consider the problem of feature selection in applications where the memory is not large enough to contain all features. In this…

Machine Learning · Statistics 2017-09-07 Antonio Sutera , Célia Châtel , Gilles Louppe , Louis Wehenkel , Pierre Geurts

We study extensions of the Election Isomorphism problem, focused on the existence of isomorphic subelections. Specifically, we propose the Subelection Isomorphism and the Maximum Common Subelection problems and study their computational…

Computer Science and Game Theory · Computer Science 2021-12-21 Piotr Faliszewski , Krzysztof Sornat , Stanisław Szufa

We study the prophet secretary problem, a well-studied variant of the classic prophet inequality, where values are drawn from independent known distributions but arrive in uniformly random order. Upon seeing a value at each step, the…

Computer Science and Game Theory · Computer Science 2023-05-19 Paul Dütting , Evangelia Gergatsouli , Rojin Rezvan , Yifeng Teng , Alexandros Tsigonias-Dimitriadis

As a famous result, the ``37\% Law'' for Secretary Problem has widely influenced peoples' perception on online decision strategies about choice. However, using this strategy, too many attractive candidates may be rejected in the first 37\%,…

Computer Science and Game Theory · Computer Science 2022-07-15 Zishuo Zhao

Prior work on the complexity of bribery assumes that the bribery happens simultaneously, and that the briber has full knowledge of all voters' votes. But neither of those assumptions always holds. In many real-world settings, votes come in…

Computer Science and Game Theory · Computer Science 2021-10-25 Edith Hemaspaandra , Lane A. Hemaspaandra , Jörg Rothe

Sequential decision tasks with incomplete information are characterized by the exploration problem; namely the trade-off between further exploration for learning more about the environment and immediate exploitation of the accrued…

Artificial Intelligence · Computer Science 2013-02-21 Grigoris I. Karakoulas

In this paper, we present a link between preference-based and multiobjective sequential decision-making. While transforming a multiobjective problem to a preference-based one is quite natural, the other direction is a bit less obvious. We…

Artificial Intelligence · Computer Science 2017-01-04 Paul Weng
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