Let's look at logic. If
@Yehuda57 were wrong, this would be a cut and dry/open-shut case, no confusion....but there IS confusion. Why? I believe
@Yehuda57 IS correct. 'This' is hands-down now, this week. That means that 'next' is the following one. When you say 'this week' versus 'next week' it is easier to understand, but when you are only saying 'next week' people get confused. This generation has become so lax we run into problems. I-me, their-there-they're, to-too, who-whom, was-were, etc.