Anyone who has played the board game of RISK understands massing your forces will win the game over leaving one army in each country... And RISK doesn't involve logistics at all...
The strongest with the mostest.... Simple, elementary military doctrine... Soldiers don't fight well when they're hungry...
Surely you're not comparing the game of Risk with United States foreign and military policy. While there are a number of things wrong with the analogy (no way that North America should only give you five extra troops), to what we're directly talking about:
1. In the game of Risk, one is trying to take over the world. A singular goal. that is achievable in the context of the game. Do you really think we only have one goal (ignoring the fact that its conquering the world?). United States Foreign Policy has a multitude of goals, all over the world. Even considering Iraq and Afghanistan aside, we have to think about North Korea, China/Taiwan, Israel, routine patrols in the pacific and Northern Atlantic, all the while achieving the flexibility of being able to approach a hot spot in the world within days, if not hours. You can not do that when you have your navy in one big clump. Or even 2 big clump. Hell, 5 big clumps. You need to assess the right amount of force for the severity of the situation.
2. There's no need to really mass forces, anyway! What navy can realistically challenge the US Navy? Even a flotilla (or dare I say, singular) of US Navy destroyers?
3. Again, you bring up logistics. Again, I bring up the fact that these ships are going to be relatively close to allied bases (Diego Garcia, Korea, Japan, Bahrain) but these ships can (and do!) go on extended tours for months at a time. Which, by the time a certain nation-state gets "the hint" the US Navy won't have any need to stay there... or it could loiter close by, again.
I believe the Navy considers the LCS as being more expendable than carriers, cruisers, and destroyers. No wonder, a half a billion is more expendable than 2 or 3 billion... They will probably be used in a similar manner as the FFG-07s have been used in the past joining CBGs.
Yes. This reinforces my point. There is a role (and a large one at that!) for ships to be on their own. Patrols, even going into hot spots. But even on doldrum patrols they don't send them in with a water gun; they have a sensor of suites and multitude of weapons so that they may be able to reasonably deal with a variety of threats.
Actually, kind of surprised nobody brought up the idea of a simple oceanic-patrol as a scenario that might be relevant to what the OP was asking. Similar to what we do with SSBNs, but without the nuclear missiles.
Reminds me of the movie "The Sum of All Fears" when a lone American aircraft carrier was attacked and almost sank by Russian jets.
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Let me repost... How about the modern Kirov-class warship of the Russian Navy?
Eh... I'm not so excited about the sensor suite package of the Kirov Class. God knows its fearsome and armed to the teeth, but the Russian navy has been kind of lapped by Western Europe and the United States in radar and sonar technologies. I'd even like to say on an open sea, good money is on one Aegis-destroyer (from any country). Of course, there's a variety of other conditions that have to be taken into account.