  Condensation phenomena arise through a collective behaviour of particles.
They are observed in both classical and quantum systems, ranging from the
formation of traffic jams in mass transport models to the macroscopic
occupation of the energetic ground state in ultra-cold bosonic gases
(Bose-Einstein condensation). Recently, it has been shown that a driven and
dissipative system of bosons may form multiple condensates. Which states become
the condensates has, however, remained elusive thus far. The dynamics of this
condensation are described by coupled birth-death processes, which also occur
in evolutionary game theory. Here, we apply concepts from evolutionary game
theory to explain the formation of multiple condensates in such
driven-dissipative bosonic systems. We show that vanishing of relative entropy
production determines their selection. The condensation proceeds exponentially
fast, but the system never comes to rest. Instead, the occupation numbers of
condensates may oscillate, as we demonstrate for a rock-paper-scissors game of
condensates.
