OK, looks like I had the right idea although I am not sure what I should think about the solution:
I have installed the browsers (Camino and Firefox) while I was in the Administrator account and manually created subfolders to put them in:
Applications/Internet/Browsers/Camino
Applications/Internet/Browsers/Firefox
So what I did is I manually allowed the Applications/Internet -directory to be shared (from the information panel of that directory).
It was not protected before I did this. Well, now I can start the apps in the other account (that does not have administrative rights).
Do i have to expect any problems with the way I arranged the programs (in manually created subfolders) and sharing?