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Reasons to vote for a 3rd party candidate 1) The person represents your views on society. 2) Show your displeasure with the two-party system. This is a powerful message to political officials. If thousands of individuals who feel left out of both the Democratic and Republican party vote for a third party candidate, it will shift the way politicians approach third-party candidates.
Reason why it would be considered a "waste" If a third-party candidate has no chance of winning, some would consider it a waste. This is due to the fact that your vote could have been used to support a candidate with somewhat similar views who actually had a chance at winning.
By the conclusion of the Revolutionary War, the balance of power in North America had shifted away from the Native Americans and toward white Americans. British power continued on in Canada, but the French were wholly absent as a regional force, so Native Americans could no longer negotiate between the great powers.