  Parrondo's paradox occurs in sequences of games in which a winning
expectation may be obtained by playing the games in a random order, even though
each game in the sequence may be lost when played individually. Several
variations of Parrondo's games with paradoxical property have been introduced.
In this paper, I examine whether Parrondo's paradox occurs or not in scale free
networks. Two models are discussed by some theoretical analyses and computer
simulations. As a result, I prove that Parrondo's paradox occurs only in the
second model.
