10/21/2013 at 09:00 AM EDT
How does Matt Damon
cope with being the lone male voice in a household that consists of his wife and four daughters
A man cave, of course.
Actually, more like a man corner, as Damon describes it.
"I barely manage," Damon told PEOPLE before being honored at this past weekend's 23rd Annual Environmental Media Awards in Burbank. "I do have a little 'man area' that I can go to that is kind of mine that they don't know about."
Rather than outfitting his space in movie-star splendor, the actor-writer-activist – and cofounder of Water.org
– says with a laugh, "It's a couple Sports Illustrated
s and my iPhone … basically like a closet where I go and shut myself in if the estrogen gets too crazy."
Damon, 43, adds, assuredly, "The man cave is a work in progress, [but] that's my happy place."
And while the Behind the Candelabra
star apparently doesn't put that much of a premium on "me" time, there is one area of his life to which he gives close attention: date nights with wife Luciana
"[We] just literally go out to dinner and just sit and catch up and talk," the actor told reporters. "We've got to be vigilant about it because if we don’t make the time for it, it will never happen. We just make the time, basically."