Offering chase as a narcissistic reaction to rejection
This is certainly among the typical narcissistic responses to rejection. The greater Tina pulled away, the greater Bob pursued her. For Bob, the bottom had shifted. It had been perhaps not he felt the need to convince her to see him again that he liked Tina more than before, but.
He hated that Tina had made a decision to dump him before he had chose to dump her. It became a matter of pride to Bob to get Tina straight back.