Of someone or something that balances himself or itself(adjective)
WordNet. Princeton University. 2010.
Use "self-balancing" in a sentence
"The self-balancing metaphor could easily apply to the proper proportion of hereditary MPs, whether or not Mr. French realizes it."
"Elsewhere in the book Mr. French, assessing modern Indian political campaigns, concludes that they "demonstrated in their complexity and illusion, in their duplicity and seeming chaos, that Indian elections were a self-balancing ecosystem.""
"In his current series, All Watched Over by Machines of Loving Grace, the target is the illusion that nature is self-balancing, and how machines make us believe in a stable world."