One possible response people could give might be: "I'm sorry but I'm not allowed to. The Facebook Terms of Service explicitly forbid my sharing my password with others."
Facebook Terms of Service, Section 4, Item 8As an alternative, employers could instead specify that the applicant "friend" the employer as a condition of employment. This might be appropriate in some cases (depending on the exact nature of the job), while avoiding the gross security issues of allowing others access to your FB account.
Registration and Account Security
"You will not share your password, (or in the case of developers, your secret key), let anyone else access your account, or do anything else that might jeopardize the security of your account."
Update: Facebook has responded to this issue. Here's their official statement.
