make a mockery of vs make game of

make a mockery of

verb
  • To mock; to ridicule or imitate, often to express contempt. 

  • To defeat easily, so as to show up as inadequate. 

make game of

verb
  • To ridicule; to make fun of. 

How often have the words make a mockery of and make game of occurred in a corpus of books? (source: Google Ngram Viewer )