  We study an ensemble of individuals playing the two games of the so-called
Parrondo paradox. In our study, players are allowed to choose the game to be
played by the whole ensemble in each turn. The choice cannot conform to the
preferences of all the players and, consequently, they face a simple
frustration phenomenon that requires some strategy to make a collective
decision. We consider several such strategies and analyze how fluctuations can
be used to improve the performance of the system.
