scholarly journals Study on Triopoly Dynamic Game Model Based on Different Demand Forecast Methods in the Market

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Junhai Ma ◽  
Lijian Sun ◽  
Xueli Zhan
Keyword(s):  
Control Method ◽  
Complex Dynamics ◽  
Dynamic Game ◽  
Basins Of Attraction ◽  
Attraction Domain ◽  
Stable Region ◽  
Demand Forecast ◽  
Feedback Control Method ◽  
Set Up ◽  
The Impact

The impact of inaccurate demand beliefs on dynamics of a Triopoly game is studied. We suppose that all the players make their own estimations on possible demand with errors. A dynamic Triopoly game with such demand belief is set up. Based on this model, existence and local stable region of the equilibriums are investigated by 3D stable regions of Nash equilibrium point. The complex dynamics, such as bifurcation scenarios and route to chaos, are displayed in 2D bifurcation diagrams, in which e1 and α are negatively related to each other. Basins of attraction are investigated and we found that the attraction domain becomes smaller with the increase in price modification speed, which indicates that all the players’ output must be kept within a certain range so as to keep the system stable. Feedback control method is used to keep the system at an equilibrium state.

Lattice hydrodynamic model-based feedback control method with traffic interruption probability

2019 ◽  
Vol 33 (23) ◽  
pp. 1950273 ◽  
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Feedback Control ◽  
Hydrodynamic Model ◽  
Traffic Congestion ◽  
Control Method ◽  
Feedback Controller ◽  
Lattice Hydrodynamic Model ◽  
Feedback Control Method ◽  
The Stability ◽  
Probability Effect ◽  
The Impact

Connected vehicles are expected to become commercially available by the next decade, while traffic interruption is not uncommon in the real traffic environment. In this paper, we propose a feedback control method for lattice hydrodynamic model considering the traffic interruption probability effect. The stability criterion of the new model is explored through linear stability analysis of transfer function. When the stability conditions are not satisfied, a delay feedback controller is used to control the discharging flow to suppress traffic congestion. The impact of gain coefficient and delay time on the performance is discussed. We verify the effectiveness of the devised delay feedback controller by simulations. Results show that the traffic interruption probability effect has a considerable impact on the stability of traffic flow, while the controller is effective in suppressing traffic congestion.

scholarly journals Complexity Analysis of a Triopoly Cooperation-Competition Game Model in Convergence Product Market

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Liming Zhao ◽  
Xiaofeng Liu ◽  
Ning Ji
Keyword(s):  
Local Stability ◽  
Control Method ◽  
Complexity Analysis ◽  
Product Market ◽  
Stable Region ◽  
Price Strategy ◽  
Game Model ◽  
Feedback Control Method ◽  
Complex Relationships ◽  
Bifurcation Chaos

This work considered a tripartite cooperation-competition game model for the convergence product market, whose products are compounds of two base products or services. An early convergence product firm monopoly in this market and two potential entrants from the base products decide to cooperate with another to compete with the monopolist. We analyzed factors that affect existence and local stability of the Nash equilibrium. Rich nonlinear dynamic behaviors like bifurcation, chaos, and attractors are presented to explain the complex relationships between the three players. Results showed that the pulling effect on profit for the united R&D activity can significantly enlarge the stable region. Too frequently adjusted price strategy will bring the system into chaos. A parameter feedback control method is given to control the chaotic system and we numerically verified its effectiveness. This study has significant values to understand the fluctuations in related convergence product market.

ON SYNCHRONIZATION AND CONTROL OF COUPLED WILSON–COWAN NEURAL OSCILLATORS

2003 ◽  
Vol 13 (01) ◽  
pp. 163-175 ◽  
Author(s):  
TETSUSHI UETA ◽  
GUANRONG CHEN
Keyword(s):  
Control Method ◽  
Complex Dynamics ◽  
Mapping Method ◽  
Control Of Chaos ◽  
Neural Oscillators ◽  
Higher Dimensional ◽  
Strongly Connected ◽  
Feedback Control Method ◽  
And Control ◽  
Simple Feedback

This paper investigates the complex dynamics, synchronization and control of chaos in a system of strongly connected Wilson–Cowan neural oscillators. Some typical synchronized periodic solutions are analyzed by using the Poincaré mapping method, for which bifurcation diagrams are obtained. It is shown that topological change of the synchronization mode is mainly caused and carried out by the Neimark–Sacker bifurcation. Finally, a simple feedback control method is presented for stabilizing an in-phase synchronizing periodic solution embedded in the chaotic attractor of a higher-dimensional model of such coupled neural oscillators.

scholarly journals Rotorcraft fuselage/main rotor coupling dynamics modelling and analysis

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Salvador Castillo-Rivera ◽  
Maria Tomas-Rodriguez
Keyword(s):  
Complex Dynamics ◽  
Angular Speed ◽  
Rigid Bodies ◽  
Main Rotor ◽  
Simple Task ◽  
Coupling Dynamics ◽  
Dynamics Modelling ◽  
Set Up ◽  
Short Time ◽  
The Impact

AbstractThis article presents the fuselage/main rotor coupling dynamics under a modal analysis to study the modes of oscillation. The authors provide a rotorcraft simulation model that captures complex dynamics, wherein the validation is done with existing theories. The model has been set up by using VehicleSim, software specialized in modelling mechanical systems composed by rigid bodies. It is presented a helicopter simulation framework, that allows to study the impact of the main rotor varying angular speed on the system. Moreover, the generated heterodyning behaviour and harmonics can be analysed on the fuselage. The detection of this performance is not a simple task, and this helicopter model provides an accurate system for its study using a short-time Fourier transform processing. The coupled dynamics observed between the fuselage and the main rotor indicate that the model can be a suitable tool to detect this type of performance.

scholarly journals Dynamics Analysis of Game and Chaotic Control in the Chinese Fixed Broadband Telecom Market

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jia Liu ◽  
Guoliang Liu ◽  
Na Li ◽  
Hongliang Xu
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Point ◽  
Control Method ◽  
Chaotic Behavior ◽  
Spillover Effect ◽  
Dynamic Game ◽  
Nash Equilibrium Point ◽  
Heterogeneous Players ◽  
Existence And Stability ◽  
Feedback Control Method

This paper considers a dynamic duopoly Cournot model based on nonlinear cost functions. The model with heterogeneous players and the spillover effect is applied to the Chinese fixed broadband telecom market. We have studied its dynamic game process. The existence and stability of the Nash equilibrium of the system have been discussed. Simulations are used to show the complex dynamical behaviors of the system. The results illustrate that altering the relevant parameters of system can affect the stability of the Nash equilibrium point and cause chaos to occur. With the use of the delay feedback control method, the chaotic behavior of the model has been stabilized at the Nash equilibrium point. The analysis and results will be of great importance for the Chinese fixed broadband telecom market.

scholarly journals Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Junhai Ma ◽  
Fang Zhang ◽  
Yanyan He
Keyword(s):  
Control Method ◽  
Complexity Analysis ◽  
Dynamic Properties ◽  
Stable Region ◽  
Largest Lyapunov Exponent ◽  
Game Model ◽  
Oligopoly Model ◽  
Long Run ◽  
Feedback Control Method ◽  
Delay Feedback Control

We establish a master-slave oligopoly game model with an upstream monopoly whose output is considered and two downstream oligopolies whose prices are considered. The existence and the local stable region of the Nash equilibrium point are investigated. The complex dynamic properties, such as bifurcation and chaos, are analyzed using bifurcation diagrams, the largest Lyapunov exponent diagrams, and the strange attractor graph. We further analyze the long-run average profit of the three firms and find that they are all optimal in the stable region. In addition, delay feedback control method and limiter control method are used in nondelayed model to control chaos. Furthermore, a delayed master-slave oligopoly game model is considered, and the three firms’ profit in various conditions is analyzed. We find that suitable delayed parameters are important for eliminating chaos and maximizing the profit of the players.

The Impact of Axi-Symmetric Boundary Conditions on Predicted Residual Stress and Shrinkage in a PWR Nozzle Dissimilar Metal Weld

2012 ◽  
Author(s):  
Philip J. Bendeich ◽  
Ondrej Muránsky ◽  
Cory J. Hamelin ◽  
Mike C. Smith ◽  
Lyndon Edwards
Keyword(s):  
Residual Stresses ◽  
Control Method ◽  
Axial Direction ◽  
3D Analysis ◽  
Computationally Efficient ◽  
Dissimilar Metal ◽  
Dissimilar Metal Weld ◽  
Set Up ◽  
The Impact ◽  
Metal Weld

Simulation of a dissimilar metal weld (DMW) in a pressurised water reactor (PWR) nozzle was performed to predict both axial distortion and hoop residual stresses in the weld. For this work a computationally efficient axi-symmetric finite element (FE) simulation was carried out rather than a full 3D analysis. Due to the 2-dimensional nature of the analysis it was necessary to examine the effect of structural restraint during welding of the main dissimilar metal weld (DMW). Traditionally this type of analysis is set up to allow one end of the structure, in this case the safe-end forging, to be unrestrained in the axial direction during welding. In reality axial expansion and subsequent contraction of deposited weld metal at the current torch position is restrained by solidified material both ahead and behind the torch. Thus the conventional axi-symmetric analysis is under-restrained in the axial direction at least during the early weld passes. The significance of this was examined by repeating the current simulation with the safe-end forging fixed to limit expansion during the heat up cycle. Contraction was however, allowed during cooling cycle. This modified boundary control method provided a significantly improved prediction of the axial distortion across the weld as well as improved prediction of through wall axial and hoop residual stresses.

scholarly journals Analysis of Complex Dynamics in Different Bargaining Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Xiaogang Ma ◽  
Chunyu Bao ◽  
Lin Su
Keyword(s):  
Supply Chain ◽  
Collective Bargaining ◽  
Control Method ◽  
Complex Dynamics ◽  
Control Factor ◽  
Feedback Control Method ◽  
Delay Feedback Control ◽  
The Stability ◽  
Risk And Benefit ◽  
Bargaining Behavior

This paper focuses on the bargaining behavior of supply chain members and studies the stability of the bargaining system. There are two forms of bargaining in the process of negotiation. One is separate bargaining, and the other is that the automobile manufacturers form an alliance and bargain with the supplier collectively. We explore the influence of bargaining power and adjustment speed on the stability of the dynamic system and find that both of the factors need to be small to maintain the stability of the supply chain. After comparing the two forms of bargaining in terms of profits and stable regions, we find that the collective bargaining is a pattern with the existence of risk and benefit simultaneously. In order to control chaos in collective bargaining to lower the risk, we adopt the delay feedback control method. With the introduction of the control factor, the system tends to be stable finally.

scholarly journals Complex Dynamics of Mixed Triopoly Game with Quantity and Price Competition

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Jing Wang ◽  
Zhenhua Bao ◽  
Junqing Huang ◽  
Yujing Song
Keyword(s):  
Nash Equilibrium ◽  
Price Competition ◽  
Control Method ◽  
Complex Dynamics ◽  
Chaotic Behavior ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Private Firms ◽  
Public Firm ◽  
Feedback Control Method

This article investigates the dynamics of a mixed triopoly game in which a state-owned public firm competes against two private firms. In this game, the public firm and private firms are considered to be boundedly rational and naive, respectively. Based on both quantity and price competition, the game’s equilibrium points are calculated, and then the local stability of boundary points and the Nash equilibrium points is analyzed. Numerical simulations are presented to display the dynamic behaviors including bifurcation diagrams, maximal Lyapunov exponent, and sensitive dependence on initial conditions. The chaotic behavior of the two models has been stabilized on the Nash equilibrium point by using the delay feedback control method. The thresholds under price and quantity competition are also compared.

Complex Dynamics in a Triopoly Game with Multiple Delays in the Competition of Green Product Level

2018 ◽  
Vol 28 (02) ◽  
pp. 1850027 ◽  
Author(s):  
Fengshan Si ◽  
Junhai Ma
Keyword(s):  
Chaos Control ◽  
Control Method ◽  
Complex Dynamics ◽  
Multiple Delays ◽  
Green Products ◽  
Local Asymptotic Stability ◽  
Willingness To Buy ◽  
Adjustment Speed ◽  
Feedback Control Method ◽  
The Stability

Research on the output game behavior of oligopoly has greatly advanced in recent years. But many unknowns remain, particularly the influence of consumers’ willingness to buy green products on the oligopoly output game. This paper constructs a triopoly output game model with multiple delays in the competition of green products. The influence of the parameters on the stability and complexity of the system is studied by analyzing the existence and local asymptotic stability of the equilibrium point. It is found that the system loses stability and increases complexity if delay parameters exceed a certain range. In the unstable or chaotic game market, the decisions of oligopoly will be counterproductive. It is also observed that the influence of weight and output adjustment speed on the firm itself is obviously stronger than the influence of other firms. In addition, it is important that weight and output adjustment speed cannot increase indefinitely, otherwise it will bring unnecessary losses to the firm. Finally, chaos control is realized by using the variable feedback control method. The research results of this paper can provide a reference for decision-making for the output of the game of oligopoly.

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