competition vs dog eat dog

competition

noun
  • A contest for a prize or award. 

  • The action of competing. 

  • The competitors in such a contest. 

dog eat dog

adj
  • Ruthlessly acquisitive or competitive. Describes a business or other set of circumstances where people try to succeed at the expense of other people. 

How often have the words competition and dog eat dog occurred in a corpus of books? (source: Google Ngram Viewer )