The overloads make it cumbersome to use this feature with lambda expressions:
http://mail.openjdk.java.net/pipermail/security-dev/2013-May/007434.html
Suggest to rename the variant which take a PrivilegedExceptionAction argument to make this possible:
AccessController.doPrivileged(() -> some());
This bug is filed to follow up some review comments:
[1] http://mail.openjdk.java.net/pipermail/security-dev/2013-May/007593.html
[2] http://mail.openjdk.java.net/pipermail/security-dev/2013-June/007673.html