Comment by selcuka

No, it will approach zero like the individual one.

Think of it this way: If everyone's individual wealth approaches zero, why would the total go up?

Just run the following simulation in a python REPL:

    import random
    
    POPULATION = 100
    INITIAL_MONEY = 1000
    ROUNDS = 10000
    
    wallets = [INITIAL_MONEY for _ in range(POPULATION)]
    
    for iteration in range(ROUNDS):
        for person in range(POPULATION):
            if random.random() > 0.5:
                wallets[person] = wallets[person] * 1.5
            else:
                wallets[person] = wallets[person] * 0.6
        print(f"{sum(wallets)=}")