Different paints reacting against each other?

LowOdour

ive decided to tackle painting on my newly built house.
The plastered walls have well dried out

ive diluted down my Berger supermatt paint (as per the instructions) and used that as my undercoat. Have pretty much most of the house done.
For the next coat, ive bought Crown Matt Emulsion Pure Brilliant White. After that, I will put on the final color - offwhite, eggshell or something like that. This paint might well be Dulux.

Now, is there any issue puttin a coat of Dulux over a coat of Crown over a coat of Burger paint? would they be prone to reacting against each other? Would i be better off sticking to the one brand throughout. Got a good price on the crown, hence buying some tubs of it