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We study how storage, operating as a price maker within a market environment, may be optimally operated over an extended period of time. The optimality criterion may be the maximisation of the profit of the storage itself, where this profit…

Optimization and Control · Mathematics 2016-06-20 James Cruise , Lisa Flatley , Stan Zachary

We consider Cournot mean field games of controls, a model originally developed for the production of an exhaustible resource by a continuum of producers. We prove uniqueness of the solution under general assumptions on the price function.…

Optimization and Control · Mathematics 2024-10-30 Fabio Camilli , Mathieu Laurière , Qing Tang

Retail competition today can be described by three main features: i) oligopolistic competition, ii) multi-store settings, and iii) the presence of large economies of scale. In these markets, firms usually apply a centralized decisions…

Economics · Quantitative Finance 2018-03-29 Marcelo J. Villena , Axel A. Araneda

We formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

Probability · Mathematics 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos

We study a model of competitive information design in an oligopoly search market with heterogeneous consumer search costs. A unique class of equilibria -- upper-censorship equilibria -- emerges under intense competition. In equilibrium,…

Theoretical Economics · Economics 2025-07-23 Dongjin Hwang , Ilwoo Hwang

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

Mathematical Finance · Quantitative Finance 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

Supply chains are the backbone of the global economy. Disruptions to them can be costly. Centrally managed supply chains invest in ensuring their resilience. Decentralized supply chains, however, must rely upon the self-interest of their…

Computer Science and Game Theory · Computer Science 2020-01-15 Victor Amelkin , Rakesh Vohra

We study competition between firms that contract with consumers before the consumers fully learn their product preferences. In a Hotelling duopoly, firms screen consumers by offering menus of option contracts. We characterize the unique…

Theoretical Economics · Economics 2026-04-30 Ian Ball , Deniz Kattwinkel , Jan Knoepfle

We explore a model of duopolistic competition in which consumers learn about the fit of each competitor's product. In equilibrium, consumers comparison shop: they learn only about the relative values of the products. When information is…

Theoretical Economics · Economics 2023-04-18 Brian C. Albrecht , Mark Whitmeyer

Trading algorithms that execute large orders are susceptible to exploitation by order anticipation strategies. This paper studies the influence of order anticipation strategies in a multi-investor model of optimal execution under transient…

Trading and Market Microstructure · Quantitative Finance 2019-03-12 Elias Strehle

We study a two-sided online data ecosystem comprised of an online platform, users on the platform, and downstream learners or data buyers. The learners can buy user data on the platform (to run a statistic or machine learning task).…

Computer Science and Game Theory · Computer Science 2025-10-13 Diptangshu Sen , Jingyan Wang , Juba Ziani

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

Machine Learning · Statistics 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

We analyze a nonlinear discrete-time Cournot duopoly game, where players have heterogeneous expectations. Two types of players are considered: boundedly rational and naive expectations. In this study we show that the dynamics of the duopoly…

Chaotic Dynamics · Physics 2016-09-08 H. N. Agiza , A. A. Elsadany

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…

Theoretical Economics · Economics 2024-03-13 Inkoo Cho , Noah Williams

The rapid expansion of digital commerce platforms has amplified the strategic importance of coordinated pricing and inventory management decisions among competing retailers. Motivated by practices on leading e-commerce platforms, we analyze…

General Economics · Economics 2025-12-02 Hang Wu , Qin Wu , Yue Liu , Mengmeng Shi

We consider a model of oligopolistic competition in a market with search frictions, in which competing firms with products of unknown quality advertise how much information a consumer's visit will glean. In the unique symmetric equilibrium…

Probability · Mathematics 2022-05-27 Pak Hung Au , Mark Whitmeyer

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…

Systems and Control · Computer Science 2013-10-02 Qingqing Huang , Mardavij Roozbehani , Munther A Dahleh

The properties of the Cournot model based on the most general entanglement operator containing quadratic expressions which is symmetric with respect to the exchange of players are considered. The degree of entanglement of games dependent on…

Quantum Physics · Physics 2024-12-10 Katarzyna Bolonek-Lasoń

This paper is intended to investigate the dynamics of heterogeneous Cournot duopoly games, where the first players adopt identical gradient adjustment mechanisms but the second players are endowed with distinct rationality levels. Based on…

Theoretical Economics · Economics 2022-12-15 Xiaoliang Li , Yihuo Jiang

This paper studies a duopoly investment model with uncertainty. There are two alternative irreversible investments. The first firm to invest gets a monopoly benefit for a specified period of time. The second firm to invest gets information…

Optimization and Control · Mathematics 2019-03-01 Kristina Rognlien Dahl , Espen Stokkereit