Data assimilation in price formation
Optimization and Control
2020-06-24 v2 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Abstract
We consider the problem of estimating the density of buyers and vendors in a nonlinear parabolic price formation model using measurements of the price and the transaction rate. Our approach is based on a work by Puel et al., see \cite{Puel2002}, and results in a optimal control problem. We analyse this problems and provide stability estimates for the controls as well as the unknown density in the presence of measurement errors. Our analytic findings are supported with numerical experiments.
Cite
@article{arxiv.1905.13733,
title = {Data assimilation in price formation},
author = {Martin Burger and Jan-Frederik Pietschmann and Marie-Therese Wolfram},
journal= {arXiv preprint arXiv:1905.13733},
year = {2020}
}