Cellar-Door said:
History suggests it is highly unlikely that Brady plays every game for the rest of his contract.
Looking at QBs who were very effective into their late 30's (Brady will be 37 at the start of this season).
Manning- missed 16 games his age 36 season, (still acitve going into his age 38 season)
Marino- missed games in his age 34 and 35 seasons, then missed 5 games in his age 38 season and hung it up.
Montana- missed games in every one of his age 31-38 seasons before hanging it up including a full season at age 36.
Young- missed games every year from 34-38, 4or more 3 times, retired at 38.
Fouts- missed games every year from 31-36 retired at 36.
Only guy I could find who didn't miss games or retire between 35-40 was Brett Favre.
George Blanda and Steve DeBerg say hi. Though neither were really full-time starters for 14 straight years...
In any case, how many of these were due to decline versus fluky injuries/being replaced by younger QBs?
Manning -- Rare problem with spine that seems unrelated to aging
Marino -- torn Achilles tendon at age 34-35, replaced by a backup at age 38; probably the only actual example of decline
Montana had a QB controversy with Steve Young until the last two years with the chiefs; his only actual injury resulted from a sack
Young -- missed games due to concussions resulting from sacks. Showed no age related decline, but decided to retire anyway
Fouts was injured in his 31-36 seasons because of injuries due to...sacks and hits out of the pocket.
Out of all the examples you cite, only Marino may be an example of age related decline and the rest are either injuries due to hits, rare oddities, or QB controversies. An examination of QB, adjusted-yard-per attempts shows very little decline as a function of age:
http://www.advancedfootballanalytics.com/2011/08/how-quarterbacks-age.html
One of the more interesting things in the numbers was that the final year of a QB's career, regardless of age, is usually pretty bad, but not necessarily worse than the usual year-to-year variation in any individual QB's resume. In fact, the final year of a QB's career, on average, represents a decline of -0.75 AYPA. This is far worse than any one year of average decline due to age--actually equivalent to about 6 years of decline. To me, this suggests that natural variance is helping end many QB careers.
A lot goes into the decision to retire, and it's not always completely the player's choice. Older QBs are checking out of the league after a down year, but there's no guarantee that the downward trend would continue. Although it's unlikely they'll reach the highs of their peak years, regression to the mean says that the following season is more likely going to be an up-year, at least relative to the previous one. At some point, a QB has absorbed enough sacks, had enough surgeries, made enough money, won enough thrillers, and lost enough heart-breakers for a lifetime. If the prospects for future success aren't very good, it's time to hang up the cleats, even if those prospects are somewhat of a statistical illusion.
That being said, Brady did show significant decline in his stats last year, relative to the past 5 years. His AYPA dropped to 5.5, his completion percentage dropped to 60 percent. His expected points added dropped to 114.7. His success rate at 48.7 percent The last time Brady had a year this bad was in 2006 (relatively speaking, he was still a top-5 QB last year). Now some of that has to do with poor offensive line play last year (43 sacks are the most since 2001), however some of it may be decline...unfortunately, 16 games is not a stable sample size for QBs for any statistic.
Nevertheless, if Brady has another relatively sub-par season, it is feasible that he might retire before he reaches 40, or that BB decides to play another QB...