This social phenomenon can be modeled by a plausible game of hawks and doves who compete for a resource, because the competition affords gain and status for the birds. The rules of the game reveal that segregation may be beneficial for both species. This situation is akin to thermodynamics of a watery sugar solution where, at low temperature, it is energetically favourable for both constituents to segregate, so that the sugar forms a solid phase at the bottom of a cup. In the long run, social evolution will lead the population to a homogeneous mix with an optimal composition of hawks and doves.