Premium
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
Abstract 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.