The purpose of this paper is to give an introduction to the field of schema theory written by a mathematician and for mathematicians. Schema theory exists to provide theoretical justification for the efficacy of genetic algorithms. We discuss the historical development of the field, highlight areas of mathematical interest, explain the relationships between the different models of schema theory, motivate a number of generalizations, list some related open problems, and suggest some large-scale projects.
Received: January 26, 2018
Accepted: November 25, 2018.
David WhiteDepartment of Mathematics and Computer Science, Denison University, 100 W. College Street, Granville, OH 43023, USA