We show that a correct definition of a state space allows to define dynamical systems representing the financial evolutions of standard economics. This goal is completely explained by means of several new results on a certain kind of actions defined in the paper. Moreover, our approach to the problems of financial evolutions not only reduces the heuristic methods of financial mathematics to a well founded and developed mathematical theory - the theory of Dynamical Systems - but, moreover, it induces a more deep and prolific understanding of the nature of economic evolutions themselves. In the paper, the general definitions of reversible and non-reversible dynamical systems (as algebraic structures) are used.
Financial dynamical systems
CARFI', David;
2008-01-01
Abstract
We show that a correct definition of a state space allows to define dynamical systems representing the financial evolutions of standard economics. This goal is completely explained by means of several new results on a certain kind of actions defined in the paper. Moreover, our approach to the problems of financial evolutions not only reduces the heuristic methods of financial mathematics to a well founded and developed mathematical theory - the theory of Dynamical Systems - but, moreover, it induces a more deep and prolific understanding of the nature of economic evolutions themselves. In the paper, the general definitions of reversible and non-reversible dynamical systems (as algebraic structures) are used.Pubblicazioni consigliate
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