Arjun,
I think for this to occur you need to add the users to the relevant group (analyst/approver) and then manually add them to appear in the drop downs (I have raised this as an enhancement as being a group member should be sufficient). There is a KB article about this but I cannot recall from memory so let me know if you cannot find it. Then you can select the user and tasks will appear in their MyWorklist.
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It makes sense that if you are in the group and the rule has the group as the approver that everyone has this in their list but I have not tested this out.
Adding a user as an Administrator would probably do it, but I'd advise against it.
regards
Adrian