According to Patty Dupre and Mike Scott with Dupre+Scott, an unbiased apartment research company covering the Puget Sound, parking is only going to get worse with new deliveries of apartment buildings, particularly in the core. More on this is covered in Dupre+Scott's video above and their recently published article.
Portland is also having their own battles with parking. Read more about "Portland Parking Wars" in a recently published article in The Oregonian.
For a different and controversial view on parking, see HFO's blog post from September 17, 2014.