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This paper introduces a fast and numerically stable algorithm for the solution of fourth-order linear boundary value problems on an interval. This type of equation arises in a variety of settings in physics and signal processing. Our method…

Numerical Analysis · Computer Science 2020-01-13 William Leeb , Vladimir Rokhlin

We propose a decentralized market model in which agents can negotiate bilateral contracts. This builds on a similar, but centralized, model of trading networks introduced by Hatfield et al. in 2013. Prior work has established that…

Computer Science and Game Theory · Computer Science 2025-01-29 Edwin Lock , Benjamin Patrick Evans , Eleonora Kreacic , Sujay Bhatt , Alec Koppel , Sumitra Ganesh , Paul W. Goldberg

This paper studies the problem of enumerating all maximal collinear subsets of size at least three in a given set of $n$ points. An algorithm for this problem, besides solving degeneracy testing and the exact fitting problem, can also help…

Computational Geometry · Computer Science 2017-06-20 Ali Gholami Rudi , Raimi Ayinde Rufai

Asynchronous iterations arise naturally in parallel computing if one wants to solve large problems with a minimization of the idle times. This paper presents an original model of asynchronous iterations for a time-domain decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-12 Qinmeng Zou , Guillaume Gbikpi-Benissan , Frederic Magoules

This paper introduces an effective memetic algorithm for the linear ordering problem with cumulative costs. The proposed algorithm combines an order-based recombination operator with an improved forward-backward local search procedure and…

Neural and Evolutionary Computing · Computer Science 2014-05-20 Tao Ye , Kan Zhou , Zhipeng Lu , Jin-Kao Hao

In routing games, agents pick their routes through a network to minimize their own delay. A primary concern for the network designer in routing games is the average agent delay at equilibrium. A number of methods to control this average…

Computer Science and Game Theory · Computer Science 2013-11-12 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman

We present a methodology to robustly estimate the competitive equilibria (CE) of combinatorial markets under the assumption that buyers do not know their precise valuations for bundles of goods, but instead can only provide noisy estimates.…

Computer Science and Game Theory · Computer Science 2021-01-26 Enrique Areyan Viqueira , Cyrus Cousins , Amy Greenwald

The efficient market hypothesis (EMH) famously stated that prices fully reflect the information available to traders. This critically depends on the transfer of information into prices through trading strategies. Traders optimise their…

Mathematical Finance · Quantitative Finance 2025-01-14 Paolo Barucca , Flaviano Morone

This paper introduces a model for coordinating prosumers with heterogeneous distributed energy resources (DERs), participating in the local energy market (LEM) that interacts with the market-clearing entity. The proposed LEM scheme utilizes…

In this paper we present several additions to the quaternion QR algorithm, including algorithms for eigenvector computation and eigenvalue reordering. A key outcome of the eigenvalue reordering algorithm is that the aggressive early…

Numerical Analysis · Mathematics 2025-11-05 Zhigang Jia , Meiyue Shao , Yanjun Shao

The European power grid can be divided into several market areas where the price of electricity is determined in a day-ahead auction. Market participants can provide continuous hourly bid curves and combinatorial bids with associated…

Optimization and Control · Mathematics 2015-03-02 Alexander Martin , Johannes C. Müller , Sebastian Pokutta

We show that the multiplicative weight update method provides a simple recipe for designing and analyzing optimal Bayesian Incentive Compatible (BIC) auctions, and reduces the time complexity of the problem to pseudo-polynomial in…

Computer Science and Game Theory · Computer Science 2013-04-12 Anand Bhalgat , Sreenivas Gollapudi , Kamesh Munagala

In this paper, we demonstrate that policy iteration, introduced in the context of HJB equations in [Forsyth & Labahn, 2007], is an extremely simple generic algorithm for solving linear complementarity problems resulting from the finite…

Computational Finance · Quantitative Finance 2012-06-19 Christoph Reisinger , Jan Hendrik Witte

We use valid inequalities (cuts) of the binary integer program for winner determination in a combinatorial auction (CA) as "artificial items" that can be interpreted intuitively and priced to generate Artificial Walrasian Equilibria. We…

Theoretical Economics · Economics 2026-03-20 Robert Day , Benjamin Lubin

We study fixed parameter algorithms for three problems: Kemeny rank aggregation, feedback arc set tournament, and betweenness tournament. For Kemeny rank aggregation we give an algorithm with runtime O*(2^O(sqrt{OPT})), where n is the…

Data Structures and Algorithms · Computer Science 2010-06-24 Marek Karpinski , Warren Schudy

In this paper we propose a branch, price and remember algorithm to solve the U shaped assembly line balancing problem. Our proposed algorithm uses a column generation approach to obtain tight lower bounds for this problem. It also stores…

Data Structures and Algorithms · Computer Science 2017-09-05 Abdolmajid Yolmeh , Najmeh Salehi

When calibrating spatial partial equilibrium models with conjectural variations, some modelers fit the suppliers' sales to the available data in addition to total consumption and price levels. While this certainly enhances the quality of…

Optimization and Control · Mathematics 2015-12-17 Tobias Baltensperger , Rudolf M. Füchslin , Pius Krütli , John Lygeros

Competitive non-cooperative online decision-making agents whose actions increase congestion of scarce resources constitute a model for widespread modern large-scale applications. To ensure sustainable resource behavior, we introduce a novel…

Optimization and Control · Mathematics 2020-10-22 Ezra Tampubolon , Holger Boche

This paper studies a class of network games with linear-quadratic payoffs and externalities exerted through a strictly concave interaction function. This class of game is motivated by the diminishing marginal effects with peer influences.…

Optimization and Control · Mathematics 2024-06-04 Jiamin Cai , Chenyue Zhang , Hoi-To Wai

This paper addresses the single-item lot sizing problem with a 1-breakpoint all-units quantity discount in a monotonic setting where the purchase prices are non-increasing over the planning horizon. For this case, we establish several novel…

Data Structures and Algorithms · Computer Science 2026-03-06 Kleitos Papadopoulos
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