20,916 research outputs found
Asset Price Dynamics in a Financial Market with Heterogeneous Trading Strategies and Time Delays
In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian agents who process information from the market with different time delays. Each class of investors is characterized by path dependent risk aversion. We also allow for the possibility of evolutionary switching between trend following and contrarian strategies. We find that the system shows periodic, quasi-periodic and chaotic dynamics as well as synchronization between technical traders. Furthermore, the model is able to generate time series of returns that exhibit statistical properties similar to those of the S&P500 index, which is characterized by excess kurtosis, volatility clustering and long memory.Dynamic asset pricing; Heterogeneous agents; Complex dynamics; Strange attractors; Chaos; Intermittency; Stock market dynamics; Synchronization
Synchronization of Diverse Agents via Phase Analysis
In this paper, the synchronization of heterogeneous agents interacting over a
dynamical network is studied. The edge dynamics can model the inter-agent
communications which are often heterogeneous by nature. They can also model the
controllers of the agents which may be different for each agent or uniform for
all the agents. Novel synchronization conditions are obtained for both cases
from a phase perspective by exploiting a recently developed small phase
theorem. The conditions scale well with the network and reveal the trade-off
between the phases of node dynamics and edge dynamics. We also study the
synchronizability problem which aims to characterize the allowable diversity of
the agents for which controllers can be designed so as to achieve
synchronization. The allowable diversity is captured in terms of phase
conditions engaging the residue matrices of the agents at their persistent
modes. Controller design algorithms are provided for the cases of
agent-dependent and uniform controllers, respectively
Asset Price Dynamics in a Financial Market with Heterogeneous Trading Strategies and Time Delays
In this paper we present a continuous time dynamical model of heterogeneous
agents interacting in a financial market where transactions are cleared by a
market maker. The market is composed of fundamentalist, trend following and
contrarian agents who process information from the market with different time
delays. Each class of investor is characterized by path dependent risk
aversion. We also allow for the possibility of evolutionary switching between
trend following and contrarian strategies. We find that the system shows
periodic, quasi-periodic and chaotic dynamics as well as synchronization
between technical traders. Furthermore, the model is able to generate time
series of returns that exhibit statistical properties similar to those of the
S&P500 index, which is characterized by excess kurtosis, volatility clustering
and long memoryComment: 14 pages, 5 figure
Multiplex PI-Control for Consensus in Networks of Heterogeneous Linear Agents
In this paper, we propose a multiplex proportional-integral approach, for
solving consensus problems in networks of heterogeneous nodes dynamics affected
by constant disturbances. The proportional and integral actions are deployed on
two different layers across the network, each with its own topology. Sufficient
conditions for convergence are derived that depend upon the structure of the
network, the parameters characterizing the control layers and the node
dynamics. The effectiveness of the theoretical results is illustrated using a
power network model as a representative example.Comment: 13 pages, 6 Figures, Preprint submitted to Automatic
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