You think the law is on the side of the guys in Norway? Perhaps you haven't heard about Barnevernet -
Swedish paper slams Norway’s child welfare
I completely agree, perhaps it is not politically correct but historical data and studies show exactly this... Guys have no problems marrying "down" if the girl is pretty / nice / whatever. Girls want to marry in the same social group or marry "up" and they are waiting for a prince that will come on a white horse for them.
Maybe it is not completely true in some countries (think Iceland, Sweden... which were already mentioned) but majority of the world works like this and it is even more extreme in developing countries like China and India.
I think this is actually an extremely difficult situation that I do not envy them - you are a woman and you happen to be attractive, successful and very rich, maybe you are also very ambicious. Then you hope you will meet someone that matches your level - but 99 % of guys don't so one day you may turn 40 and realize your life is fucked up.
Just a side note - I'm not a very big fan of "marriage" as a state institute or even worse a religious institute. If I want to live with someone, I don't need state's permission or I don't want the state to dictate whether gay people can marry etc... Of course marriage can function as an "insurance" for the wife but that seems somewhat wrong to me