# A behavioral stock market model

Gerencsér, László and Mátyás, Zalán
(2008)
*A behavioral stock market model.*
Mathematical Methods of Operations Research, 67.
pp. 43-63.

## Abstract

Stock exchanges are modelled as nonlinear feedback systems where the plant dynamics is defined by known stock market regulations but the actions of agents are unknown. It is assumed though that each agent submits transaction requests according to his/her beliefs on the price dynamics and his/her behavior. The latter may be loss-aversive, rational or risk seeking. The action of the agents may contain a random element, thus we get a non-linear stochastic feedback system. The market is in equilibrium when the actions of the agents reinforce their beliefs on the price dynamics. Assuming that an AR(k) predictor is used for prediction of the price process, a stochastic approximation procedure for finding market equilibrium is described. The proposed procedure is analyzed using the theory of Benveniste, Métivier and Priouret, and simulation results are presented.

Item Type: | ISI Article |
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Uncontrolled Keywords: | Stock exchange models; stochastic adaptive control |

Subjects: | Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |

Depositing User: | Eszter Nagy |

Date Deposited: | 11 Dec 2012 15:31 |

Last Modified: | 11 Dec 2012 15:31 |

URI: | https://eprints.sztaki.hu/id/eprint/5430 |

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