Looks like Aikido to me
What are those purple belts? And why do they wear that Aikido pants ?
Why do i even care about it ?
Kokodo is a style derived from Hakko ryu, the purple belts signify shihans, as noted by the comment on the below video " Indeed, we wear our black belt (or purple belt for shihans) over the hakama, as in Hakko Ryu, the style we originated from, or other Hakko Ryu derived styles (Sin Ryu, Jigen Ryu, Kokodo Jujutsu, ...)."
So it's basically Aikido with some strikes.