How new ideas, fashions, behaviors, products, or innovation diffuse in population? For example, among some new technologies, operating systems or mobile phones, a few ones become popular in population gradually.

Contagion or diffusion is notable concepts in various domains such as sociology or economics. Research in economics and mathematical sociology is concerned with modeling these types of diffusion processes as a coordination game played on a social network and diverse as the diffusion of innovations, the spread of cultural fads and segregation.

In this paper, we deal with social contagion by threshold model on two-dimensional lattice world. Then, agent can decide whether to adopt technology or idea and can switch from a choice to another. Moreover, we deal with ternary choice in coordination games of diverse population. And we investigated of contagion of new technology A or B when many agents chose old technology. We found that old technology remains and transition to new technology A or B becomes slow in the case many agents see how things go. And even in the case many agents see how things go, we found that collective behavior is almost same independent of initial proportion of agents who chose old technology, but, depend on the initial proportion of new strategy. Moreover, when there are many agent chose old technology, the degree of seeing how things go is important effect on collective behavior, and it is effect on contagion new technologies.

• Legal notice:
  

  Copyright (c) Pielaszek Research, all rights reserved.
  The above materials, including auxiliary resources, are subject to Publisher's copyright and the Author(s) intellectual rights. Without limiting Author(s) rights under respective Copyright Transfer Agreement, no part of the above documents may be reproduced without the express written permission of Pielaszek Research, the Publisher. Express permission from the Author(s) is required to use the above materials for academic purposes, such as lectures or scientific presentations.
  In every case, proper references including Author(s) name(s) and URL of this webpage: https://science24.com/paper/14657 must be provided.

1. Self-organized Control of Cascade