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We study evolutionary dynamics in which firms endogenously revise the behavioral rules that govern strategy revisions in symmetric Cournot oligopoly. Specifically, we consider two principles that guide rule revision, No-Birth and…

Theoretical Economics · Economics 2025-11-14 Xiaomeng Ding , Simon Weidenholzer , Boyu Zhang

International trade and logistics are subject to factors including geopolitical instability, climate change, and black swan events such as the unforeseen closure of the Suez Canal. The problem of predicting local price change under…

Physics and Society · Physics 2024-06-28 Toby Willis , Giuliano Punzo

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

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

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

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

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

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

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

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…

Optimization and Control · Mathematics 2019-06-11 Masahiko Hattori , Yasuhito Tanaka

Cournot competition is a fundamental economic model that represents firms competing in a single market of a homogeneous good. Each firm tries to maximize its utility---a function of the production cost as well as market price of the…

Computer Science and Game Theory · Computer Science 2014-07-25 Melika Abolhassani , MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Hamid Mahini , Anshul Sawant

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 investigate the impact of coalition formation on the efficiency of Cournot games where producers face uncertainties. In particular, we study a market model where firms must determine their output before an uncertain production capacity…

Computer Science and Game Theory · Computer Science 2017-08-15 Baosen Zhang , Ramesh Johari , Ram Rajagopal

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

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

In this paper, we explore a dynamic Bertrand duopoly game with differentiated products, where firms are boundedly rational and consumers are assumed to possess an underlying CES utility function. We mainly focus on two distinct degrees of…

Theoretical Economics · Economics 2023-01-04 Xiaoliang Li , Bo Li

We study the propensity of independent algorithms to collude in repeated Cournot duopoly games. Specifically, we investigate the predictive power of different oligopoly and bargaining solutions regarding the effect of asymmetry between…

General Economics · Economics 2025-01-14 Simon Martin , Hans-Theo Normann , Paul Püplichhuisen , Tobias Werner

We present a possible kind of generalization of the notion of ordered pairs of cyclic maps and coupled fixed points and its application in modelling of equilibrium in oligopoly markets. We have obtained sufficient conditions for the…

Optimization and Control · Mathematics 2020-09-11 Yulia Dzhabarova , Stanimir Kabaivanov , Margarita Ruseva , Boyan Zlatanov

The paper deals with a class of parametrized equilibrium problems, where the objectives of the players do possess nonsmooth terms. The respective Nash equilibria can be characterized via a parameter-dependent variational inequality of the…

Optimization and Control · Mathematics 2019-11-06 Jiří V. Outrata , Jan Valdman

We propose an empirical framework for asymmetric Cournot oligopoly with private information about variable costs. First, considering a linear demand for a homogenous product with a random intercept, we characterize the Bayesian Cournot-Nash…

General Economics · Economics 2023-01-23 Gaurab Aryal , Federico Zincenko
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