Analysis of nonlinear triopoly game with heterogeneous players
نویسندگان
چکیده
The paper considers a nonlinear duopoly game with heterogeneous players, boundely rational and naive expectations. A duopoly game is modelled by two nonlinear difference equations. The existence and stability of the equilibria of this system are studied. The complex dynamics, bifurcations and chaos are displayed by computing numerically the largest Lyapunov exponents, sensitive dependence on initial conditions and fractal dimension of the chaotic attractor. © 2006 Elsevier B.V. All rights reserved.
منابع مشابه
The Dynamics of Triopoly Game with Heterogeneous Players
In this paper, the dynamics of discrete triopoly game with heterogeneous players has been studied. In this game, three players with different expectations were used to iterate the dynamic game. The three players were considered to be: boundedly rational, adaptive and naive. The investigation of the fixed points and their stability, bifurcation diagrams, strange attractors and chaotic behavior w...
متن کاملAn Analysis of A Fishing Model with Nonlinear Harvesting Function
In this study, considering the importance of how to exploit renewable natural resources, we analyzea shing model with nonlinear harvesting function in which the players at the equilibrium pointdo a static game with complete information that, according to the calculations, will cause a wasteof energy for both players and so the selection of cooperative strategies along with the...
متن کاملChaos and Control of Game Model Based on Heterogeneous Expectations in Electric Power Triopoly
A dynamic repeated game model has been established based on heterogeneous expectations in electric power triopoly. Theoretical analysis and numerical simulation show the complexity of this model; suppose that the producers make decisions with naive expectation and bounded rationality. The straight-line stabilization chaos control method was successfully applied to the dynamic repeated game mode...
متن کاملDynamic system of strategic games
Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash betwe...
متن کاملComplex Dynamics in Nonlinear Triopoly Market with Different Expectations
A dynamic triopoly game characterized by firms with different expectations is modeled by threedimensional nonlinear difference equations, where the market has quadratic inverse demand function and the firm possesses cubic total cost function. The local stability of Nash equilibrium is studied. Numerical simulations are presented to show that the triopoly game model behaves chaotically with the ...
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:
- Computers & Mathematics with Applications
دوره 57 شماره
صفحات -
تاریخ انتشار 2009