Persistence in a Random Bond Ising Model of Socio-Econo Dynamics

Details Persistence in a Random Bond Ising Model of Socio-Econo Dynamics Persistence in a Random Bond Ising Model of Socio-Econo Dynamics

2007-09-07

arxiv.org/abs/0709.1092v2

Economy

Quantitative Finance

General Finance

11 pages, 4 figures

Scientific paper

10.1142/S012918310801198X

We study the persistence phenomenon in a socio-econo dynamics model using computer simulations at a finite temperature on hypercubic lattices in dimensions up to 5. The model includes a ` social\rq local field which contains the magnetization at time $t$. The nearest neighbour quenched interactions are drawn from a binary distribution which is a function of the bond concentration, $p$. The decay of the persistence probability in the model depends on both the spatial dimension and $p$. We find no evidence of ` blocking\rq in this model. We also discuss the implications of our results for possible applications in the social and economic fields. It is suggested that the absence, or otherwise, of blocking could be used as a criterion to decide on the validity of a given model in different scenarios.

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