Men, would you allow a girl to go up the stairs, ahead of you? Women, how do you react when a guy is behind you when ascending the stairs?

Ok, so short story. I take the bus, and well this guy I don't know, waved his hand so that I could go ahead of him when ascending the bus. I was reluctant to go ahead, since I fear he has different intentions and just wants to stare at my rear, so I let him pass. The same story occurred again. What should I do, any thoughts?

Men, would you allow a girl to go up the stairs, ahead of you? Women, how do you react when a guy is behind you when ascending the stairs?
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