%0 Generic
%D 2006
%T Membrane Computing and Economics: Numerical P Systems
%A Gheorghe Paun
%A Radu Paun
%C Warsaw, Poland
%I IOS Press
%K economics
%K Membrane computing
%K Turing computability
%K Universality
%N 1-2
%P 213-227
%U http://portal.acm.org/citation.cfm?id=1231159.1231179&coll=GUIDE&dl=GUIDE&CFID=1691426&CFTOKEN=24108515
%V 73
%X With inspiration from the economic reality, where numbers are basic entities to work with, we propose a genuinely new kind of P systems, where numerical variables evolve, starting from initial values, by means of production functions and repartition protocols. We prove that non-deterministic systems of this type, using polynomial production functions, characterize the Turing computable sets of natural numbers, while deterministic systems, with polynomial production functions having non-negative coefficients, compute strictly more than semilinear sets of natural numbers. A series of research topics to be addressed in this framework are mentioned.