I was thinking about this when I read Genesis 3:16 (God's curse to Eve after the fall)
"To the woman he said,
'I will greatly increase your pains in childbearing;
with pain you will give birth to children.
Your desire will be for your husband,
and he will rule over you.' "
And I thought about the last part of that. "He will rule over you." My thought was this, before the fall, man and woman would not have had disagreements. When Eve told Adam to bite the apple she was, in a way, exercising a "casting vote," by having Adam eat it. And as punishment, the husband will "rule over" the wife (refering not to dominion but just to that casting vote.)
Just an idea.