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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

A quantum Cournot game of which classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties, (i) if the measurement…

Quantum Physics · Physics 2015-05-14 Yohei Sekiguchi , Kiri Sakahara , Takashi Sato

Neoclassical economics has two theories of competition between profit-maximizing firms (Marshallian and Cournot-Nash) that start from different premises about the degree of strategic interaction between firms, yet reach the same result,…

Adaptation and Self-Organizing Systems · Physics 2009-11-19 Steve Keen , Russell K. Standish

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

We consider a price competition between two sellers of perfect-complement goods. Each seller posts a price for the good it sells, but the demand is determined according to the sum of prices. This is a classic model by Cournot (1838), who…

Computer Science and Game Theory · Computer Science 2017-06-02 Moshe Babaioff , Liad Blumrosen , Noam Nisan

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

Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash equilibria of the realistic model exists under stricter…

Quantum Physics · Physics 2010-03-25 Yohei Sekiguchi , Kiri Sakahara , Takashi Sato

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

This paper demonstrates the quantization of a spatial Cournot duopoly model with product choice, a two stage game focusing on non-cooperation in locations and quantities. With quantization, the players can access a continuous set of…

Quantum Physics · Physics 2015-05-19 Ramij Rahaman , Priyadarshi Majumdar , B. Basu

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 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

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 study competition among contests in a general model that allows for an arbitrary and heterogeneous space of contest design, where the goal of the contest designers is to maximize the contestants' sum of efforts. Our main result shows…

Computer Science and Game Theory · Computer Science 2021-07-29 Xiaotie Deng , Yotam Gafni , Ron Lavi , Tao Lin , Hongyi Ling

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 reconsider the Cournot duopoly problem in light of the theory for long memory. We introduce the Caputo fractional-order difference calculus to classical duopoly theory to propose a fractional-order discrete Cournot duopoly game model,…

General Economics · Economics 2019-03-12 Baogui Xin , Wei Peng , Yekyung Kwon

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…

Computer Science and Game Theory · Computer Science 2015-12-04 Tobias Harks , Philipp von Falkenhausen

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

Optimization and Control · Mathematics 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

In economics duopoly is a market dominated by two firms large enough to influence the market price. Stackelberg presented a dynamic form of duopoly that is also called `leader-follower' model. We give a quantum perspective on Stackelberg…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor

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
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