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We consider a variant of Cournot competition, where multiple firms allocate the same amount of resource across multiple markets. We prove that the game has a unique pure-strategy Nash equilibrium (NE), which is symmetric and is…

Optimization and Control · Mathematics 2020-12-15 Ruda Zhang , Roger Ghanem

The aim of this paper is threefold. First, we provide a unified framework, by means of non-trivial examples, to compare the results obtained in simultaneous-move and sequential-move versions of bilateral oligopoly with the Cournot model and…

Computer Science and Game Theory · Computer Science 2018-03-28 Alex Dickson , Simone Tonin

The paper analyzes the interactions among one public firm and $n$ private firms on the market, in the framework of a discrete-time Cournot game with time delay. The production of the public firm is influenced by previous output levels of…

Dynamical Systems · Mathematics 2023-07-07 Loredana Camelia Culda , Eva Kaslik , Mihaela Neamtu

In this paper, we consider the dynamic oscillation in the Cournot oligopoly model, which involves multiple firms producing homogeneous products. To explore the oscillation under the updates of best response strategies, we focus on the…

Theoretical Economics · Economics 2025-05-08 Zhengyang Liu , Haolin Lu , Liang Shan , Zihe Wang

In this discussion draft, we investigate five different models of duopoly games, where the market is assumed to have an isoelastic demand function. Moreover, quadratic cost functions reflecting decreasing returns to scale are considered.…

Theoretical Economics · Economics 2022-03-21 Xiaoliang Li

We consider a large population dynamic game in discrete time. The peculiarity of the game is that players are characterized by time-evolving types, and so reasonably their actions should not anticipate the future values of their types. When…

Optimization and Control · Mathematics 2020-11-19 Beatrice Acciaio , Julio Backhoff-Veraguas , Junchao Jia

In this discussion draft, we explore different duopoly games of players with quadratic costs, where the market is supposed to have the isoelastic demand. Different from the usual approaches based on numerical computations, the methods used…

Symbolic Computation · Computer Science 2022-03-21 Xiaoliang Li , Li Su

We analyse a coalition formation game between strategic service providers of a congestible service. The key novelty of our formulation is that it is a constant sum game, i.e., the total payoff across all service providers (or coalitions of…

Computer Science and Game Theory · Computer Science 2023-04-26 Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

We study the effects of endogenous cost formation in the classic Cournot oligopoly through an extended two-stage game. The competing Cournot firms produce low-cost but limited quantities of a single homogeneous product. For additional…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis

The global dynamics is investigated for a duopoly game where the perfect foresight hypothesis is relaxed and firms are worst-case maximizers. Overlooking the degree of product substitutability as well as the sensitivity of price to…

Theoretical Economics · Economics 2023-11-21 Davide Radi , Laura Gardini

We study Cournot competition among firms in a networked marketplace that is centrally managed by a market maker. In particular, we study a situation in which a market maker facilitates trade between geographically separate markets via a…

Computer Science and Game Theory · Computer Science 2019-04-22 Desmond Cai , Subhonmesh Bose , Adam Wierman

This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic congestion games, in response to variations of the demands. The main goal is to identify conditions under which a paradoxical non-monotone behavior…

Computer Science and Game Theory · Computer Science 2024-02-07 Roberto Cominetti , Valerio Dose , Marco Scarsini

We consider a largely untapped potential for the improvement of traffic networks that is rooted in the inherent uncertainty of travel times. Travel times are subject to stochastic uncertainty resulting from various parameters such as…

Computer Science and Game Theory · Computer Science 2025-10-22 Svenja M. Griesbach , Martin Hoefer , Max Klimm , Tim Koglin

We consider a Cournot oligopoly model where multiple suppliers (oligopolists) compete by choosing quantities. We compare the social welfare achieved at a Cournot equilibrium to the maximum possible, for the case where the inverse market…

Optimization and Control · Mathematics 2012-06-28 John N. Tsitsiklis , Yunjian Xu

In games for which there exists a potential, the deviation-from-rationality dynamical model for which each agent's strategy adjustment follows the gradient of the potential along with a normally distributed random perturbation, is shown to…

Statistical Mechanics · Physics 2007-05-23 Michael J. Campbell

We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

Computer Science and Game Theory · Computer Science 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

Multilayer networks describe well many real interconnected communication and transportation systems, ranging from computer networks to multimodal mobility infrastructures. Here, we introduce a model in which the nodes have a limited…

Physics and Society · Physics 2018-02-22 Sabato Manfredi , Edmondo Di Tucci , Vito Latora

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

A critical aspect in strategic modeling of transportation systems is user heterogeneity. In many real-world scenarios, e.g., when tolls are charged and drivers have different trade-offs between time and money, or when they get informed…

Computer Science and Game Theory · Computer Science 2022-09-23 Leonardo Cianfanelli , Giacomo Como , Tommaso Toso

An oligopoly is a market in which the price of goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when…

Physics and Society · Physics 2025-12-09 Masahiko Ueda , Shoma Yagi , Genki Ichinose
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