Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents
arXiv:0801.0003 · doi:10.1016/j.physa.2009.06.025
Abstract
We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and individually heterogeneous fundamentalist trading decisions which take into account the market price and the perceived fundamental value of the asset. The resulting excess demand is coupled to the market price. Rigorous analysis reveals that this feedback may lead to price oscillations, a single bounce, or monotonic price behaviour. The model is a rare example of an analytically tractable interacting-agent model which allows us to deduce in detail the origin of these different collective patterns. For a natural choice of initial distribution the results are independent of the graph structure that models the peer network of agents whose decisions influence each other.
arXiv comment26 pages, 3 figures. v2: minor alterations, to appear in Physica A (http://www.elsevier.com/wps/find/journaldescription.cws_home/505702/description#description)
References in corpus (11)
- Herd behavior and aggregate fluctuations in financial markets
- Ferromagnetic ordering in graphs with arbitrary degree distribution
- Quantifying Stock Price Response to Demand Fluctuations
- Ferromagnetic Phase Transition in Barabasi-Albert Networks
- Speculative bubbles and crashes in stock market: an interacting-agent model of speculative activity
- Critical phenomena in networks
- Waiting times between orders and trades in double-auction markets
- Monte Carlo simulation of Ising model on directed Barabasi-Albert network
- Ising model simulation in directed lattices and networks
- Adjustment and social choice
- Absence of ferromagnetism in Ising model on directed Barabasi-Albert network