Mexican standoff vs dead heat

Mexican standoff

noun
  • A near-collision between two trains; an averted cornfield meet. 

  • A pot that is split among the players because of a tie. 

  • An inconclusive standoff, ending in mutual retreat. 

  • A confrontation among two or more armed parties, none of which wants to attack first (fearing that the other could retaliate), but neither of which will disarm (for fear the other will attack). 

  • A stalemate, or a confrontation among two or more sides that no side can win. 

  • A three-way or more standoff. 

dead heat

noun
  • a close race or contest in which no winner is apparent 

How often have the words Mexican standoff and dead heat occurred in a corpus of books? (source: Google Ngram Viewer )