A Study on Transmission Mechanism of Financial Supervision with Chaos Theory

Jin-guang WU, Li MA

Abstract



The linear rule was a general mode in the analysis of market order and financial supervision, but it frequently caused serious deviation of the market order from the supervision goal. This paper was devoted to solve the deviation with chaos model. Firstly, it substituted the operating condition of the financial institution for market order, and defined the supervision degree as a function of effective rules and realizable level. Secondly, it taked these indexes into Logistic Equation to calculate the fixed points, and simulated the complex changes of market order. Thirdly, it analyzed the characteristics of the stable numerical solution in the inter-temporal differential equation. Lastly, it explained the foresight, the exogenous, the carefulness, and the time lags of the financial supervision with chaos control theory. It deduces that when the supervision degree falls into [3, 3.554], the supervision can lead to a well-ordered market.
Key words: nonlinear control, market order, financial supervision, transmission mechanism
Résumé: La règle linéaire était un mode général dans l'analyse de l'ordre de Bourse et de la supervision financière, mais elle a fréquemment causé la déviation sérieuse de l'ordre de Bourse du but de surveillance. Cet article a été consacré pour résoudre la déviation avec le modèle de chaos. D’abord, il a substitué la condition de fonctionnement de l'institution financière à l'ordre de Bourse, et a défini le degré de supervision en fonction des règles efficaces et du niveau réalisable. Deuxièmement, il a pris ces index dans l'équation logistique pour calculer les points fixes, et a simulé les changements complexes de l'ordre de Bourse. Troisièmement, il a analysé les caractéristiques de la solution numérique stable dans l’équation différentielle intertemporelle. Finalement, il a expliqué la prévoyance, l'exogène, l'attention, et les laps de temps de la supervision financière avec la théorie de contrôle de chaos. Il déduit que quand le degré de supervision tombe dans [3, 3.554], la supervision peut mener à un marché bien-commandé.
Mots-Clés: contrôle non-linéaire, ordre de Bourse, supervision financière, mécanisme de transmission

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DOI: http://dx.doi.org/10.3968/j.css.1923669720080402.001

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