Technically, it's causing jealousy, not unhappiness (directly). If we choose (as you intuitively understand) to let jealousy reside in our consciousness, we will become unhappy as a result of living in our lower selves. We should, instead, be focusing on the better aspects of our lives, including living on this wonderful world, in this awesome universe.
We are each tested with either more or less than others. If we have been given more, we are to be generous; if less, we are to refuse to be jealous.
All that said, flying around in private jets is horrible for the environment, and is, therefore, a detriment to us all, so it will be they who will become unhappy for spraying jet fuel byproducts all across the Earth while they're galavanting around. Sure, they might ignore it while they're pleasure-seeking, but karma is "patient like a spider, a Zen spider" (from Gibson's Neuromancer), and we all reap what we sow, whether for our selfishness or selflessness. It is always our choice, every day.