Financial laws as algebraic automata | Zendy

Rambaud Salvador Cruz | Zendy; Pérez José García | Zendy

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Financial laws as algebraic automata

Author(s) -

Rambaud Salvador Cruz,

Pérez José García

Publication year - 2001

Publication title -

international journal of intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.291

H-Index - 87

eISSN - 1098-111X

pISSN - 0884-8173

DOI - 10.1002/int.1051

Subject(s) - automaton , order (exchange) , algebraic number , algebraic structure , algebra over a field , cellular automaton , mathematics , law , pure mathematics , mathematical economics , computer science , finance , theoretical computer science , algorithm , economics , political science , mathematical analysis

It is shown that the concept of financial law has the structure of an automaton. Furthermore, a financial law induces a group structure into the monoid of the automaton. The concepts of stationary, stationary of order n , and dynamic financial laws are deduced, proving two algebraic characterizations. Finally the concept of ā ‐stationary financial law and some applications are introduced. © 2001 John Wiley & Sons, Inc.

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