You must add the hide actions for other fields to all buttons as well
If you have 3 pop-ups, then you must have 3 button as well
Shows field 1
Hides fields 2&3
Shows field 2
Hides fields 1&3
Shows field 3
Hides fields 1&2
Thank you so much, this is going to be a hard one with 162 buttons but at least it works!
Auts... you understand that you have to make more than 26.000 actions for getting 162 button/fields to show and hide properly... I don´t know if PDF even supports that many....
If you know for sure that your users have Adobe Reader or Acrobat for reading PDF files, you could also make your interactive map to different indd-file, use multistate object to get show/hide effect waaaay easier.... then export it as SWF and replace your show/hide fields objects with that SWF by using File>Place. Open Media panel and finalize it by checking Play on Page Load and choose poster image from current frame.
Using placed SWF file in PDF has its own cons but if you really must get interactive map like that, with that many showing/hiding objects I would say using SWF instead of PDF based show/hide fields&actions will save you lots of nerves.