EPOCH LIFETIMES IN THE DYNAMICS OF A COMPETING POPULATION

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4048-4053
Author(s):  
C. H. YEUNG ◽  
Y. P. MA ◽  
K. Y. MICHAEL WONG
Keyword(s):  
Financial Markets ◽  
Communication Networks ◽  
Multiagent Systems ◽  
Oscillatory Behavior ◽  
Lifetime Distribution ◽  
Dynamical Model

We propose a dynamical model of a competing population whose agents have a tendency to balance their decisions in time. The model is applicable to financial markets in which the agents trade with finite capital, or other multiagent systems such as routers in communication networks attempting to transmit multiclass traffic in a fair way. We find an oscillatory behavior due to the segregation of agents into two groups. Each group remains winning over epochs. The aggregation of smart agents is able to explain the lifetime distribution of epochs to 8 decades of probability. The existence of the super agents further refines the lifetime distribution of short epochs.

scholarly journals Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Jun Liu ◽  
Kaiyu Qin ◽  
Wei Chen ◽  
Ping Li ◽  
Mengji Shi
Keyword(s):  
Multiagent Systems ◽  
Fractional Order ◽  
Time Delays ◽  
External Environment ◽  
Domain Theory ◽  
Dynamical Model ◽  
Integer Order ◽  
The Laplace Transform ◽  
Simulation Results ◽  
Theoretical Results

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.

Heterogeneity and Self-Organization of Complex Systems Through an Application to Financial Market with Multiagent Systems

2017 ◽  
Vol 27 (14) ◽  
pp. 1750219 ◽  
Author(s):  
Iris Lucas ◽  
Michel Cotsaftis ◽  
Cyrille Bertelle
Keyword(s):  
Financial Markets ◽  
Multiagent Systems ◽  
Financial Market ◽  
Complex Dynamics ◽  
Global Market ◽  
Self Organization ◽  
Empirical Literature ◽  
Agent Based ◽  
Multi Scale ◽  
And Behavior

Multiagent systems (MAS) provide a useful tool for exploring the complex dynamics and behavior of financial markets and now MAS approach has been widely implemented and documented in the empirical literature. This paper introduces the implementation of an innovative multi-scale mathematical model for a computational agent-based financial market. The paper develops a method to quantify the degree of self-organization which emerges in the system and shows that the capacity of self-organization is maximized when the agent behaviors are heterogeneous. Numerical results are presented and analyzed, showing how the global market behavior emerges from specific individual behavior interactions.

Study of the Dynamical Model for Manufacturing and Materials Market

2016 ◽  
Vol 693 ◽  
pp. 1954-1959
Author(s):  
Z.G. Wang ◽  
Y.Q. Sun ◽  
Y. Zheng
Keyword(s):  
Financial Markets ◽  
Financial Analysis ◽  
Market Price ◽  
Theoretical Physics ◽  
Dynamical Model ◽  
Random Fluctuation ◽  
Price Fluctuation ◽  
Nonlinear Dynamical ◽  
Price Fluctuations ◽  
Control And Prevention

Econophysics is a new interdiscipline where physics concept and methods are applied to financial analysis. For example, the application of theoretical physics in the modeling of financial markets has aroused wide concern. In the process of random fluctuation of prices in financial markets, many nonlinear dynamical problems are hidden in set coefficients and assumptions, resulting in the invisibility of market price fluctuations and unavailability of hidden benefits in fluctuations. Based on the analysis of price fluctuation mechanism in financial markets, this paper analyzes the characteristics of price fluctuation, and constructs the dynamical model of price fluctuation by means of physics theory, thereby providing a theoretical reference for the control and prevention of transaction risks.

A DYNAMICAL MODEL FOR THE PROCESS OF SHARING

2018 ◽  
Vol 21 (06n07) ◽  
pp. 1850016 ◽  
Author(s):  
ULRICH KRAUSE
Keyword(s):  
Multiagent Systems ◽  
Necessary Conditions ◽  
Opinion Dynamics ◽  
Ring Structure ◽  
Dynamical Model ◽  
Equal Distribution ◽  
Sufficient And Necessary Conditions ◽  
Special Case

The paper introduces a general sharing structure and presents sufficient and necessary conditions for the agents to approach by the dynamics of sharing an equal distribution of assets. For the special case of a ring structure with a uniform sharing rate, robustness is analyzed in case the rate does change during the process of sharing. The search for an equal distribution is similar to that for consensus in opinion dynamics and multiagent systems as a result of which tools from the latter are used in proving the results.

Sign in / Sign up

Export Citation Format

Share Document