Modeling a large population of traders: Mimesis and stability

نویسندگان

  • Ahmet Omurtag
  • Lawrence Sirovich
چکیده

We introduce a method of accurately and efficiently modeling a large population of participants in a financial market. Each participant is modeled as having an internal preference state affected by the continual arrival of exogenous information and by the behavior of others. In order to describe a community of traders, we introduce a population equation that is derived rigorously from the underlying single-agent model. The population equation is used to investigate collective behavior with mimetic interactions. We observe and study the sharp transitions in parameter space from a stable time-independent regime to instability where the demand and supply diverge sharply. © 2006 Elsevier B.V. All rights reserved. JEL classification: C63; D79; G10

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تاریخ انتشار 2003