<p>Further down on the same Restrictive Early Action link posted by Greta, the Stanford admissions people state:</p>
<h1>The student may apply to any college/university with a non-binding rolling admission process.</h1>
<h1>The student may apply to any public college/university.</h1>
<p>Application to international schools is also permitted as an exception to the general rules.</p>
<p>So, yes, you may apply to the University of Michigan under an early action program and still apply to Stanford REA. </p>
<p>Sometimes, people are uncertain whether the University of Michigan is a public university. This is not totally obvious from the name. For example, the University of Pennsylvania is an Ivy League school. I believe that about 10% of the University of Michigan’s funding comes from the State of Michigan, and the remainder from other sources. In fact, there is fairly frequent discussion about whether the University of Michigan should convert to private school status. However, at present it is public.</p>