I discovered that in some cases the question "might I..." when asking for permission politely is more common than "may I". For example "Might I join you?" Which question would be more common while asking for permission "might I?" or may I?" Of course I realize that there is also "could I?" "would you mind?" and so on but I'd like to know the difference in usage between "Might I" and "may I."
might and may both talk about the possibilities but then, the former one is a past tense and the latter one is for the present tense. Hence, it depends on the context you are referring to.
I may go home early if I’m tired. (present tense)
He might have visited Italy before settling in Nuremberg. (past tense)
However, in practice, both are interchangeable.
Now, asking for something politely takes 'may'. On the other hand, 'may' and 'might' are possible to make polite suggestions. Merriam Webster explains it:
'May' is used to ask permission in formal speech, and both may and might are used to make polite suggestions:
The examples follow:
May I be excused?
May I help you with your luggage?
Next time you might try washing it in the sink.
You may want to consider leaving early