A non-linear model of trading mechanism on a financial market
We introduce a prototype model in an attempt to capture some aspects of market dynamics simulating a trading mechanism. The model description starts with a discrete-space, continuous-time Markov process describing arrival and movement of orders with different prices. We then perform a re-scaling procedure leading to a deterministic dynamical system controlled by non-linear ordinary differential equations (ODEs). This allows us to introduce approximations for the equilibrium distribution of the model represented by fixed points of deterministic dynamics.
|Date of creation:||Jan 2012|
|Date of revision:|
|Publication status:||Published in Markov Processes and Related Fields, Vol. 19 (2013), 83--98|
|Contact details of provider:|| Web page: http://arxiv.org/|
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