Consider the following situations:
Your mother has just one cake. You and your younger brother really like that cake. If you eat the cake, your younger brother will cry. As you are older so you must be wise, you let him eat the cake as if you let him win.
You meet a crazy guy on the train. He rudely asked you to leave your seat. As you are wise enough, you let him take your seat as if you let him win.
Is there a single verb or phrasal verb to convey the meaning of "I have no choice but I think it is better to let him win"?