<p>The biggest difference, career-wise, between Duke and Williams is not that one will offer you better networking opportunities than the other. Rather, they each offer fairly equivalent networking opportunities, but focused in different areas of the country. Duke is better networked and connected in the South. Williams is better networked and connected in the Northeast. Everywhere else, it's somewhat of a toss-up.</p>
<p>However, unless you're absolutely positive you want to live and work the rest of your life in one of these two regions of the country, this wouldn't be a great way to determine which of the two schools to go to.</p>
<p>Instead, I would think about fit--which school would be best for you? Williams will provide you with a more personal education--more contact with professors, smaller classes, more opportunities for research/co-publishing/etc. Duke will provide you with a greater breadth of classes and departments--overall, a greater diversity of academic focuses. Both schools have a large amount of school spirit and really come out to support their teams. However, Williams is D3, so the teams will be filled by your friends and classmates. Duke, being D1, will have a little more of an athlete-nonathlete divide (but--depending on the sport--somewhat better quality of play). Socially, Duke is definitely affected by being in the south, just as Williams is affected by being in New England. Both schools have a vibrant social scene, although Duke--being larger--will have a greater number of "raging" parties than Williams (however you want to define that). You won't be bored by either school's on-campus social scene. That brings us to what i believe is the last major difference. Duke is located in a much more urban environment than Williams. This means there is more to do off-campus by way of clubs, bars, restaurants, etc, and less in the way of hiking, canoing, skiing. </p>
<p>I hope that helps--I tried to be as fair as possible in the comparison. I think you'll find people who will tell you that Duke is "way better" in one way or that Williams is "way better" in one way. In reality, the schools are surprisingly on-par with each other in just about every category...sure, there are little advantages or disadvantages, but the biggest differences are geographic and cultural. Ultimately, you should be thinking about which college "feels" better to you, and not try to over think which is the better school (as there really is no clear answer to that). </p>
<p>The Tyng scholarship is clearly a better financial package than what it seems you received at Duke; don't underestimate the benefit of having help with grad school. While this should certainly factor into your decision, it shouldn't be the sole factor--if, after thinking this through, you feel a lot better about going to Duke, you should probably go to Duke.</p>