I would not classify Gulf war II as a "war". It was a blatant incursion, which even Saddam knew would not last, hence the focus on looting the victim, rather than planning for an occupation.
Saddam bet that if no ones does anything concrete, he can get away with it, else, he can return back.
I would call than an "occupation" rather than a "war".
Edit : I retract my comment. I meant Gulf War I, the occupation of Kuwait.
The government was toppled, a provisional government was installed by the US, and then replaced by a government that was, at the time, US-aligned with democratic elections.
I think it was a bad war and a mistake, but I don't think we "lost."
Saddam bet that if no ones does anything concrete, he can get away with it, else, he can return back.
I would call than an "occupation" rather than a "war".
Edit : I retract my comment. I meant Gulf War I, the occupation of Kuwait.