In this paper, we analyze the interplay of two robotic swarms applied to solve a target point search in a non-cooperative mode. In particular, we consider the case of two identical robotic swarms deployed within the same environment to perform dynamic exploration seeking for two different unknown target points. It is assumed that the environment is unknown and completely dark, so no vision sensors can be used. Our work is based on a robotic swarm approach recently reported in the literature. In that approach, the robotic units are driven by a popular swarm intelligence technique called bat algorithm. This technique is based on echolocation with ultrasounds, so it is particularly well suited for our problem. The paper discusses the main findings of our computational experiments through three illustrative videos of single executions.