Forum:Usage of cards during battle phase

Let's say my opponent already has 2 set face down "Dimensional Prisons" on the field. I already have a "Dark bribe" set. I proceed to attack with a monster. My opponent activates "Dimensional Prison". I counter with "Dark bribe". After resolution, can my opponent form another chain and activate "Dimensional Prison" again?

I ask this because i think in one of the earlier yugioh gameboy games a situation like this happened and i couldn't activate my second destruction trap in response to the first one being negated. I think it's a programming error in the game but i don't know, i need more information.