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This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

Optimization and Control · Mathematics 2025-11-06 Dhaval Pujara , Ankur Sinha

Platform giants in China have operated with persistently compressed margins in highly concentrated markets for much of the past decade, despite market shares exceeding 60\% in core segments. Standard theory predicts otherwise: either the…

Theoretical Economics · Economics 2026-01-23 Liang Chen

In sponsored content and service markets, the content and service providers are able to subsidize their target mobile users through directly paying the mobile network operator, to lower the price of the data/service access charged by the…

Networking and Internet Architecture · Computer Science 2021-08-17 Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Zhu Han

The problem of ranking/ordering instances, instead of simply classifying them, has recently gained much attention in machine learning. In this paper we formulate the ranking problem in a rigorous statistical framework. The goal is to learn…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Gábor Lugosi , Nicolas Vayatis

We introduce a new hierarchy of higher-order nested pushdown trees generalising Alur et al.'s concept of nested pushdown trees. Nested pushdown trees are useful representations of control flows in the verification of programs with recursive…

Logic in Computer Science · Computer Science 2012-02-10 Alexander Kartzow

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

The problem of content search through comparisons has recently received considerable attention. In short, a user searching for a target object navigates through a database in the following manner: the user is asked to select the object most…

Machine Learning · Computer Science 2014-02-11 Amin Karbasi , Stratis Ioannidis , Laurent Massoulie

The problem of designing a profit-maximizing, Bayesian incentive compatible and individually rational mechanism with flexible consumers and costly heterogeneous supply is considered. In our setup, each consumer is associated with a…

Computer Science and Game Theory · Computer Science 2018-02-01 Shiva Navabi , Ashutosh Nayyar

Recent advances in bandit tools and techniques for sequential learning are steadily enabling new applications and are promising the resolution of a range of challenging related problems. We study the game tree search problem, where the goal…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Wouter Koolen

In many web applications, a recommendation is not a single item suggested to a user but a list of possibly interesting contents that may be ranked in some contexts. The combinatorial bandit problem has been studied quite extensively these…

Data Structures and Algorithms · Computer Science 2016-05-27 Hossein Vahabi , Paul Lagrée , Claire Vernade , Olivier Cappé

Heuristic forward search is currently the dominant paradigm in classical planning. Forward search algorithms typically rely on a single, relatively simple variation of best-first search and remain fixed throughout the process of solving a…

Artificial Intelligence · Computer Science 2019-11-28 Pawel Gomoluch , Dalal Alrajeh , Alessandra Russo , Antonio Bucchiarone

A seller with one unit of a good faces N\geq3 buyers and a single competitor who sells one other identical unit in a second-price auction with a reserve price. Buyers who do not get the seller's good will compete in the competitor's…

Theoretical Economics · Economics 2021-10-26 Kenneth Hendricks , Thomas Wiseman

We develop a probabilistic consumer choice framework based on information asymmetry between consumers and firms. This framework makes it possible to study market competition of several firms by both quality and price of their products. We…

Trading and Market Microstructure · Quantitative Finance 2014-03-26 Hao Liao , Rui Xiao , Duanbing Chen , Matus Medo , Yi-Cheng Zhang

Neural network supported tree-search has shown strong results in a variety of perfect information multi-agent tasks. However, the performance of these methods on partial information games has generally been below competing approaches. Here…

Multiagent Systems · Computer Science 2024-06-18 Ryan Yu , Alex Olshevsky , Peter Chin

We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting method against two alternative splitting methods. The first, called the sliding-midpoint…

Computational Geometry · Computer Science 2007-05-23 Songrit Maneewongvatana , David M. Mount

Previous research on two-dimensional extensions of Hotelling's location game has argued that spatial competition leads to maximum differentiation in one dimensions and minimum differentiation in the other dimension. We expand on existing…

General Economics · Economics 2021-03-23 Jeffrey D. Michler , Benjamin M. Gramig

Sponsored search is an indispensable business model and a major revenue contributor of almost all the search engines. From the advertisers' side, participating in ranking the search results by paying for the sponsored search advertisement…

Information Retrieval · Computer Science 2018-03-28 Li He , Liang Wang , Kaipeng Liu , Bo Wu , Weinan Zhang

This paper introduces a new data-driven methodology for nested logit structure discovery. Nested logit models allow the modeling of positive correlations between the error terms of the utility specifications of the different alternatives in…

Methodology · Statistics 2020-08-19 Youssef M. Aboutaleb , Moshe Ben-Akiva , Patrick Jaillet

In a sequential auction with multiple bidding agents, it is highly challenging to determine the ordering of the items to sell in order to maximize the revenue due to the fact that the autonomy and private information of the agents heavily…

Artificial Intelligence · Computer Science 2018-10-16 Sicco Verwer , Yingqian Zhang , Qing Chuan Ye

We consider the problem of a decision-maker searching for information on multiple alternatives when information is learned on all alternatives simultaneously. The decision-maker has a running cost of searching for information, and has to…

Theoretical Economics · Economics 2020-04-13 T. Tony Ke , Wenpin Tang , J. Miguel Villas-Boas , Yuming Zhang