A government by pedants: Mrs. Smith did not agree with the system of pedantocracy which involved individuals who always pointed out unimportant and minor details or former rules, and pretentiously exhibited their academic knowledge.

A pedantocracy can also be a government that requires full details when administering issues in the laws that have been passed.

The rule by children or under the control of children: When comparing different kinds of governments, the young students in the classroom thought that pedantocracy would be a great idea!!