give in

to finally agree to what someone wants, after refusing for a period of time:
He nagged me so much for a new bike that eventually I gave in.
The government cannot be seen as giving in to terrorists' demands.
After a heated debate, the employers gave in to the union's demands.
I don't think he will give in to your requests if you keep pestering him.
He gave in to my suggestion after I had shown him the plans.
Keep asking and eventually she'll give in.
The government finally gave in to the company's plea for help.

to accept that you have been defeated and agree to stop competing or fighting:
You'll never guess the answer - do you give in?
She wouldn't give in until she received a full apology.
(Cambridge Advanced Learner's Dictionary & Thesaurus からの give in の定義 © Cambridge University Press)

アメリカ英語辞典
to decide to do what someone else wants:
Our kids kept begging us to take them to the beach, and finally we gave in.
(Cambridge Academic Content Dictionary からの give in の定義 © Cambridge University Press)

- Cambridge Dictionary