Dynamics of a delayed duopoly game with bounded rationality
نویسنده
چکیده
A bounded rationality duopoly game with delay is formulated. Its dynamical evolution is analyzed. The existence of an economic equilibrium of the game is derived. The local stability analysis has been carried out. The analysis showed that firms using delayed bounded rationality have a higher chance of reaching a Nash equilibrium point. Numerical simulations were used to show bifurcation diagrams and phase portraits. © 2010 Elsevier Ltd. All rights reserved.
منابع مشابه
Complex Dynamics of Bertrand Duopoly Games with Bounded Rationality
Abstract—A dynamic of Bertrand duopoly game is analyzed, where players use different production methods and choose their prices with bounded rationality. The equilibriums of the corresponding discrete dynamical systems are investigated. The stability conditions of Nash equilibrium under a local adjustment process are studied. The stability conditions of Nash equilibrium under a local adjustment...
متن کاملDynamics of a Duopoly Game with Heterogeneous Players and Time Delay
Abstract: In this work, the dynamics of a duopoly game with two heterogeneous players and time delay is investigated. It is assumed that one player adopts adaptive adjustment method and another considers time delay for marginal profit. A nonlinear dynamics is built and theoretical and numerical stability analysis is done for it. It is shown that time delay plays an important role in the system ...
متن کاملNonlinear Dynamics of Cournot Duopoly Game with Social Welfare
This paper explores the idea of cournot duopoly with homogenous expectations in a context of bounded rationality, where two semipublic firms endeavor to maximize the weighted average of social welfare and their own profit. The stability analysis of the fixed points are analyzed and complex dynamic features including period doubling bifurcations of the unique Nash equilibrium is also investigate...
متن کاملComplex Dynamics Analysis for Cournot Game with Bounded Rationality in Power Market
In order to accurately simulate the game behaviors of the market participants with bounded rationality, a new dynamic Cournot game model of power market considering the constraints of transmission network is proposed in this paper. The model is represented by a discrete differential equations embedded with the maximization problem of the social benefit of market. The Nash equilibrium and its st...
متن کاملروشهای مدلسازی تطوری در اقتصاد (با تاکید بر عناصر مشترک سازنده آنها)
In this paper we have tried mention to some sort of thewell-known evolutionary modeling approaches in economic territory such as Multi Agent simulations, Evolutionary Computation and Evolutionary Game Theory. As it has been mentioned in the paper, in recent years, the number of Evolutionary contributions applied to Multi-Agent models increased remarkably. However until now there is no consensus...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical and Computer Modelling
دوره 52 شماره
صفحات -
تاریخ انتشار 2010