Alice was born because itwas expected, with this never hidden from her, but she has few friends because most of the kids around Alice assume that thosethings just don't happen in rich families, so she must be making it up.
Alice is from a middle-class or working-class background, and lonely.
Double Subverted: But few of them are, in fact, true friends; most are fair-weather friends, who only like Alice because she's rich.
Alice has only piles of money to hang out with.
Alice is actually rich enough that she can somehow actually buy genuine friendship. The reason she's lonely right now is that she Forgot to Pay the Bill so her friendship has been disconnected.
Zig Zagged: Alice's parents win the lottery, and her Girl Posse is happy, then worry about her becoming the Alpha Bitch and dump her before she can leave them for richer (and snobbier) friends. Then they feel bad about giving her the cold shoulder, and become her friends again. Only to leave again when they find that she's become a Spoiled Brat, and return when she starts treating them better.
Alice is wealthy, but also has lots of genuine friends.
Alice is poor.
Enforced: The writer wants to teach An Aesop that money ≠ happiness.
Invoked: Upon acquiring wealth, Alice alienates herself from all of her peers, fearing that they will be after her family's money.
Exploited: Barbara uses her connections to arrange a major financial windfall for Alice's parents, in hopes that the sudden disparity will drive a wedge between Alice and her friends.
Defied: Alice goes out and makes new friends in her new neighborhood, and is careful to choose as friends only genuine people who like her for her (not her wealth).
Discussed: "I hear Alice is rich. Rich kids are supposed to be stuck up, but I don't see it..."
Implied: Rich girl Alice always seems to be by herself when she's not with the other major characters, sometimes contrasted with scenes of other characters hanging out with 24 Hour Party People.
Deconstructed: Alice doesn't have many friends because her wealth alienates her from her peers (who usually aren't as well-to-do); they assume she's going to be the Alpha Bitch and avoid her and/or are jealous that she can afford things they can't. (And those that don't avoid her only like her because she's rich; they don't care at all about her.) And it doesn't help if her parents are jet-setters who are always away, or are feared because of their connections, or just seem to forget she even exists. (It also doesn't help if she really is the Alpha Bitch, which tends to drive people away.)
Reconstructed: Alice's family decides to move. They, and Alice, end up in a rich neighborhood where Alice finally finds friends.