Some Approaches to Modeling the Spatial Diffusion of Innovations

Abstract

The study considers the problems of modeling diffusion of innovations in economic systems. The authors show the capabilities and limitations of the use of deterministic and probabilistic cellular automata in modeling the diffusion of innovations. To overcome limitations of the model of probabilistic cellular automaton the researchers propose the model’s modification. The authors constructed a cellular automaton that implements two different behavior modes according to the selection method of a plurality of neighboring cells (classic and combined) and changing the cell’s state. This automaton has several modes of operation: the absence or impermeable boundaries, homogeneity or heterogeneity of the territory

Keywords

• diffusion of innovations
• modeling
• cellular automata
• modification
• probabilistic and combined cellular automaton