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How about "a robot must have complete loyalty to its owner, even if this is not in the best interests of its manufacturer". Fat chance, I know.
Technically the laws of robotics already have that.
Law 2: a robot must obey any order given to it by a human as long as such order does not conflict with the first law.
Of course that's little help, because the laws of robotics are intentionally designed not to work.
Wouldn't be much of a short story if they did.
I liked the one where the robot could sense people's emotional pain, and went crazy when it had to deliver bad news.
Yup, and later Asimov expanded this short story into a saga that brought to the birth of law Zero:
A robot may not harm humanity, or, by inaction, allow humanity to come to harm.
Owner loyalty is a subscription service, natch.