Modal verbs with the meaning "to wish": 愿意, 希望 and 乐意
Modal verbs (情态动词) can be used to express possibility, desire, ability, and necessity. Modal verbs cannot appear without a predicate and can only appear in predicate phrases.
The verb 愿意
愿意 
indicates a strong desire or willingness to do something, that is caused by intrinsic motivation.
indicates a strong desire or willingness to do something, that is caused by intrinsic motivation. Pay attention
Emotional coloring of 愿意 is stronger than 想 or 要 "to want".
or 要 "to want".Examples
他们愿意参加这项工作
They would like to participate in this work
tāmen yuànyì cānjiā zhè xiàng gōngzuò
你愿意对他道歉吗？
Do you want to apologize to him?
nǐ yuànyì duì tā dàoqiàn ma
The verb 希望
希望 expresses the idea of some favorable situation that we really want to happen.
expresses the idea of some favorable situation that we really want to happen.Examples
我希望你会参加我的聚会
I hope you'll come to my party
wǒ xīwàng nǐ huì cānjiā wǒ de jùhuì
希望明天是个好天
I hope tomorrow is a good day
xīwàng míngtiān shì ge hǎo tiān
希望 can also be used as a noun meaning "hope".
Examples
成功的希望
hope of success
chénggōng de xīwàng
The verb 乐意
The modal verb 乐意 is used in a formal language. It expresses a desire to do an action that comes from sympathy from the speaker.
is used in a formal language. It expresses a desire to do an action that comes from sympathy from the speaker. Pay attention
乐意 is often preceded by adverbs of degree, such as 很 , 十分 and 非常 .
, 十分 and 非常 .
Examples
我乐意帮你的忙
I'm happy to help you
wǒ lèyì bāng nǐ de máng
如果有什么问题的话，我将很乐意回答
If you have any questions, I will be happy to answer them
rúguǒ yǒu shénme wèntí de huà, wǒ jiāng hěn lèyì huídá
Negative sentence
The negative form of modal verbs is formed by adding the negative adverb 不 .
. Pay attention
The negative adverb 没 cannot be used.
cannot be used.Examples
双方都不愿意妥协
Neither side is willing to compromise
shuāngfāng dōu bú yuànyì tuǒxié
我不希望你这么晚回家
I don't want you to come home so late
wǒ bù xīwàng nǐ zhème wǎn huí jiā
有些问题她不乐意回答
There are some questions she doesn't want to answer
yǒuxiē wèntí tā bù lèyì huídá
没有 can be shortened to 没 and is preceded by the noun 希望.
can be shortened to 没 and is preceded by the noun 希望.Examples
那天我们没希望见到他了
We didn't expect to see him that day
nà tiān wǒmen méi xīwàng jiàndào tā le