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We study a dynamic oligopoly with differentiated goods by differential game approach under general demand and cost functions. We show that the steady state value of the R&D investment by each firm is decreasing with respect to the number of…

最优化与控制 · 数学 2019-06-11 Masahiko Hattori , Yasuhito Tanaka

We present an analysis of advertising activities in a dynamic oligopoly with differentiated goods by differential game approach under general demand and cost functions. Mainly we show the following results. The comparison of the open-loop…

最优化与控制 · 数学 2019-06-13 Masahiko Hattori , Yasuhito Tanaka

We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in order to better understand the strategies…

最优化与控制 · 数学 2010-07-01 Andrew Ledvina , Ronnie Sircar

Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

最优化与控制 · 数学 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

This paper studies dynamic monopoly pricing for a broad class of settings that allow for multiple durable, multiple rental, or a mix of varieties. We show that the driving force behind pricing dynamics is the existence of trading-up…

综合经济学 · 经济学 2025-07-09 Stefan Buehler , Nicolas Eschenbaum , Severin Lenhard

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

最优化与控制 · 数学 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

With the growing collection of sales and marketing data and depth of detailed knowledge of consumer habits and trends, firms are gaining the capability to discern customers of other firms from the potential market of uncommitted consumers.…

最优化与控制 · 数学 2015-10-28 Chloe A. Fletcher , Jason S. Howell

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…

综合经济学 · 经济学 2021-03-23 Jeffrey D. Michler , Benjamin M. Gramig

Dynamic pricing is commonly used to regulate congestion in shared service systems. This paper is motivated by the fact that in the presence of users with varying price sensitivity (responsiveness), conventional monotonic pricing can lead to…

系统与控制 · 电气工程与系统科学 2026-03-24 Yingqing Chen , Anni Li , Christos G. Cassandras , Homayoun Hamedmoghadam , Fabian Wirth , Robert Shorten

We study a model of dynamic two-stage R&D competition where the competing firms are uncertain about the difficulty of the first stage. Staying in the competition is costly and a firm can also choose whether and when to quit. When a firm…

计算机科学与博弈论 · 计算机科学 2016-10-13 Yangbo Song , Mofei Zhao

We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system's equilibrium. The motivation for this approach is a well known paradox in multimarket Cournot…

计算机科学与博弈论 · 计算机科学 2015-12-04 Tobias Harks , Philipp von Falkenhausen

This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

最优化与控制 · 数学 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

In this paper, we examine in an abstract framework, how a tradeoff between efficiency and robustness arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic resource provider and…

系统与控制 · 计算机科学 2013-10-02 Qingqing Huang , Mardavij Roozbehani , Munther A Dahleh

This paper investigates the impacts of competition in autonomous mobility-on-demand systems. By adopting a network-flow based formulation, we first determine the optimal strategies of profit-maximizing platform operators in monopoly and…

最优化与控制 · 数学 2021-07-27 Berkay Turan , Mahnoosh Alizadeh

I study symmetric competitions in which each player chooses an arbitrary distribution over a one-dimensional performance index, subject to a convex cost. I establish existence of a symmetric equilibrium, document various properties it must…

理论经济学 · 经济学 2026-05-07 Mark Whitmeyer

We study a multi-player stochastic differential game, where agents interact through their joint price impact on an asset that they trade to exploit a common trading signal. In this context, we prove that a closed-loop Nash equilibrium…

数理金融 · 定量金融 2023-06-23 Alessandro Micheli , Johannes Muhle-Karbe , Eyal Neuman

Technological progress is leading to proliferation and diversification of trading venues, thus increasing the relevance of the long-standing question of market fragmentation versus consolidation. To address this issue quantitatively, we…

交易与市场微观结构 · 定量金融 2019-06-26 Aleksandra Alorić , Peter Sollich

This paper presents competitive algorithms for a novel class of online optimization problems with memory. We consider a setting where the learner seeks to minimize the sum of a hitting cost and a switching cost that depends on the previous…

机器学习 · 计算机科学 2021-01-11 Guanya Shi , Yiheng Lin , Soon-Jo Chung , Yisong Yue , Adam Wierman

We find an approximate Nash equilibrium in a game between decentralized exchanges (DEXs) that compete for order flow by setting dynamic trading fees. We characterize the equilibrium via a coupled system of partial differential equations and…

数理金融 · 定量金融 2026-03-11 Leonardo Baggiani , Martin Herdegen , Leandro Sanchez-Betancourt

This work is motivated by our collaboration with a large consumer packaged goods (CPG) company. We have found that while the company appreciates the advantages of dynamic pricing, they deem it operationally much easier to plan out a static…

数据结构与算法 · 计算机科学 2020-11-24 Will Ma , David Simchi-Levi , Jinglong Zhao
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