The computational and robotic modeling of language evolution is emerging as a new exciting subfield in cognitive science. The objective is to come up with precise operational models how communities of agents, equiped with a cognitive apparatus, a sensori-motor system, and a body, can arrive at shared grounded communication systems that have similar characteristics as human languages. Apart from its technological interest for building novel applications in the domain of human-robot or robot-robot interaction, this research is potentially relevant to the many disciplines interested in the origins and evolution of language.