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The main task in analyzing a switching network design (including circuit-, multirate-, and photonic-switching) is to determine the minimum number of some switching components so that the design is non-blocking in some sense (e.g., strict-…

离散数学 · 计算机科学 2012-04-17 Hung Q. Ngo , Atri Rudra , Anh N. Le , Thanh-Nhan Nguyen

In this article we consider combinatorial markets with valuations only for singletons and pairs of buy/sell-orders for swapping two items in equal quantity. We provide an algorithm that permits polynomial time market-clearing and -pricing.…

Convergence (virtual) bidding is an important part of two-settlement electric power markets as it can effectively reduce discrepancies between the day-ahead and real-time markets. Consequently, there is extensive research into the bidding…

最优化与控制 · 数学 2023-02-09 Letif Mones , Sean Lovett

Non-linear, especially convex, objective functions have been extensively studied in recent years in which approaches relies crucially on the convexity property of cost functions. In this paper, we present primal-dual approaches based on…

数据结构与算法 · 计算机科学 2017-08-17 Nguyen Kim Thang

We develop a model of algorithmic pricing that shuts down every channel for explicit or implicit collusion while still generating collusive outcomes. We analyze the dynamics of a duopoly market where both firms use pricing algorithms…

理论经济学 · 经济学 2024-03-13 Inkoo Cho , Noah Williams

We interpret multi-product supply chains (SCs) as coordinated markets; under this interpretation, a SC optimization problem is a market clearing problem that allocates resources and associated economic values (prices) to different…

最优化与控制 · 数学 2020-07-03 Philip A. Tominac , Victor M. Zavala

Fair resource allocation is a fundamental optimization problem with applications in operations research, networking, and economic and game theory. Research in these areas has led to the general acceptance of a class of $\alpha$-fair utility…

数据结构与算法 · 计算机科学 2020-11-17 Jelena Diakonikolas , Maryam Fazel , Lorenzo Orecchia

This paper is concerned with the determination of pricing strategies for a firm that in each period of a finite horizon receives replenishment quantities of a single product which it sells in two markets, e.g., a long-distance market and an…

最优化与控制 · 数学 2015-09-25 Wen , Chen , Adam Fleischhacker , Michael N. Katehakis

Bilevel programs with spatial price equilibrium constraints are strategic models that consider a price competition at the lower level. These models find application in facility location-price models, optimal bidding in power networks, and…

最优化与控制 · 数学 2024-06-25 Akshit Goyal , Jean-Philippe P. Richard

Computing market equilibria is an important practical problem for market design, for example in fair division of items. However, computing equilibria requires large amounts of information (typically the valuation of every buyer for every…

计算机科学与博弈论 · 计算机科学 2021-09-07 Christian Kroer , Alexander Peysakhovich , Eric Sodomka , Nicolas E. Stier-Moses

When agents trade in a Duality-based Cost Function prediction market, they collectively implement the learning algorithm Follow-The-Regularized-Leader. We ask whether other learning algorithms could be used to inspire the design of…

机器学习 · 计算机科学 2025-05-08 Enrique Nueve , Bo Waggoner

This paper focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

最优化与控制 · 数学 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada

We argue that deterministic market clearing formulations introduce arbitrary distortions between day-ahead and expected real-time prices that bias economic incentives and block diversification. We extend and analyze the stochastic clearing…

经济学 · 定量金融 2015-11-27 Victor M. Zavala , Kibaek Kim , Mihai Anitescu , John Birge

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

计算机科学与博弈论 · 计算机科学 2018-05-08 Arsenii Vanunts , Alexey Drutsa

The aims of this article are two-fold. First, we give a geometric characterization of the optimal basic solutions of the general linear programming problem (no compactness assumptions) and provide a simple, self-contained proof of it…

最优化与控制 · 数学 2018-04-27 Anna Denkowska , Maciej Denkowski , Marta Kornafel

Bin covering is a dual version of classic bin packing. Thus, the goal is to cover as many bins as possible, where covering a bin means packing items of total size at least one in the bin. For online bin covering, competitive analysis fails…

数据结构与算法 · 计算机科学 2014-02-28 Marie G. Christ , Lene M. Favrholdt , Kim S. Larsen

In continuous-time portfolio selection for non-concave utility functions, the martingale duality approach is widely adopted in complete markets, while the dynamic programming approach may sometimes lead to singular solutions of the…

最优化与控制 · 数学 2026-04-17 Yang Liu , Alexander Schied , Zhenyu Shen

The Hylland-Zeckhauser gave a classic pricing-based mechanism (HZ) for a one-sided matching market; it yields allocations satisfying Pareto optimality and envy-freeness (Hylland and Zeckhauser, 1979), and the mechanism is incentive…

计算机科学与博弈论 · 计算机科学 2023-10-26 Thorben Tröbst , Vijay V Vazirani

Many important multiple-objective decision problems can be cast within the framework of ranking under constraints and solved via a weighted bipartite matching linear program. Some of these optimization problems, such as personalized content…

信息检索 · 计算机科学 2022-02-16 Yegor Tkachenko , Wassim Dhaouadi , Kamel Jedidi

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

数理金融 · 定量金融 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi