give up vs jockey for position

give up

verb
  • To admit defeat, capitulate 

  • Become fully taken over by a certain quality, activity, trait, &c. 

  • To abandon (someone or something) 

  • To relinquish (something) 

  • To execute a trade on behalf of another broker. 

  • To stop or quit (an activity, etc.) 

  • To surrender (someone or something) 

  • To lose hope concerning (someone or something) 

jockey for position

verb
  • To try to get one's horse into a better position during a horse race. 

  • To try to come out ahead in a competition for something specific or put oneself in a more favourable position generally. 

How often have the words give up and jockey for position occurred in a corpus of books? (source: Google Ngram Viewer )