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Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents

Gunter M. Schütz, Fernando Pigeard de Almeida Prado, Rosemary J. Harris and Vladimir Belitsky

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 19, 4126-4144

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.

Keywords: Heterogeneous interacting-agent model; Asset market; Social interaction; Collective behaviour; Temporal fluctuations; Price oscillations; Exactly solvable model of an asset market (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:19:p:4126-4144

DOI: 10.1016/j.physa.2009.06.025

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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