totally agree with @pattern_is_full, but I wonder here why noone of those rich Arabs invests in one Concorde plane instead of endless goldening of huge hotel-like planes like A380 etc.? Sure it would be a sign of prestige?
Concorde size limits would still be enough for one man and his suite so that wouldn't be a problem, and coming anywhere in the world in 4-5 hours would come handy as time is something he couldn't buy with any money. If he does, say, 30 long flights in a year it's like he gets 6 totally free days.