Yes, a candidate is someone running for political office
When a candidate runs for office, he picks a running mate. When that candidate wins, his/her running mate becomes vice president.
The two men who ran for Vice President were Joseph Biden (Democrat) and Paul Ryan (Republican). Since President Obama won re-election in 2012, and Joe Biden was his running-mate, Mr. Biden won a second term as Vice President.
i believe it means running for a position relevant to the president but with a lower position.
Presidential Candidate
Pat Quinn, Democratic governor of Illinois, is considered by some to be a possible candidate for 2016.
Rick SANTORUM is a republican candidate running for president
No he is not, but he would be an amazing candidate.
A person who supports a candidate running for president.
incumbent
Mitt Romney is the Republican candidate running for president in 2012.
Candidates for President get to choose their own running mates.
The word candidate is most used when a person is trying to take a role in a higher up position. A person running for chairman or mayor would also be known as a potential candidate.