Out of all the options available, I cannot select more than 4 Basic Improvements because I have them all.
I am playing a Savvyhead for the 2nd time. So here is the list and what I have:
get +1cool (max cool+2) - Already have cool+2
get +1hard (max hard+2) - Already have hard+2
get +1sharp (max sharp+2) - Already have sharp+2
get a new savvyhead move - Already have all the savvyhead moves
get a new savvyhead move - Already have all the savvyhead moves
get 2 gigs (detail) and
moonlighting - Can take this #1
get a gang (detail) for security, and
leadership - Can take this #2
add life support to your workspace, and now you can work on people there too - already have life support for my workspace
get a move from another playbook - Can take this #3
get a move from another playbook - Can take this #4
That makes only 4 possible basic improvements I can take. I switched from Savvyhead, to Battlebabe, and then back to Savvyhead, and treated going back to Savvyhead as if I was starting fresh for improvements (I created a post about this
Changing Playbooks - Going back to the Previous PB -
http://apocalypse-world.com/forums/index.php?topic=545.0). Hopefully that helps explain my dilemma better.