Seriously - we have a huge shortage of qualified engineers and scientists, and you want to encourage your students to pursue a career in video game programming? As a graduate of a computer engineering program myself, I've seen scores of students enter into CS and CE programs thinking "I like video games so I'm going to love CS/CE!". This is the same as thinking "I like airplanes, so I'm going to love AerE". It gives them unreasonable expectations. If they really want to be video game programmers, tell them to get a certification from one of the many avenues which provide them. Don't waste their time or the time of professors telling them to go into programs they won't apply themselves to or succeed at.
On the other hand, as country we desperately need more qualified IT, R&D, and academic personnel in the fields of CS and CE. If your students have the potential to succeed at these things, don't waste their time by encouraging the thought that they're going to be the next Blizzard. Show them all of the things they can do if they achieve a degree in CS or CE.
"If there isn't a population problem, why is the government putting cancer in the cigarettes?" -- the elder Steptoe, c. 1970