What is the name of this technique and where can I read more about it?
Hi Jerry, and thanks for asking.
The skill is called Role Reversal and Empathy. A good explanation can be found at: http://www.blatner.com/adam/level2/conflictres.html
For more general information about conflict resolutions, see CTB Chapter 20, section 6, Chapter 27, and a related Troubleshooter Guide