the past tense of may1 used to express:
permission or possibility
He asked whether he might come
The king might do nothing without parliament's consent
a past or present possibility that is unfulfilled
I might well have been killed
If he were older he might understand
a purpose or intention in the past
I wrote it down so that I might not forget it
expectation or obligation
You might at least apologize
They might have offered to help
a polite or ironic question
Who might you be?
[Old English meahte, mihte]