[DrDroop]

Sorry don't have much time to explain, but in economics and other social sciences there are many situations where there needs to be made a tradeoff between three things, so called trilemmas. I already gave the example of voting in a democracy with arrows impossibility theorem but also it shows up at the central bank when they need to set the exchange rate and needs to to decide between savers, investors and the government tax revenue. This things are always difficult to explain with lots of trade of scenarios just like CAP. I suggest you google trilemma and economy and read more if you are interested.

[blurbleblurble]

Gotcha, I was wondering if there was a deeper or more concrete connection between these particular trilemmas. It'd be interesting if there was seeing as how both are related to coordination, though I'm not so sure there is one.

[DrDroop]

Yes, coordination is a common theme among them. Another way of looking at it is that these systems all have a partial ordering but no full ordering, like a game of rock paper scissors. This is something that shows up all around us, space time itself can have different ordering of events based on the observer so it is embedded in the very causal geometry we live in. I've tried in the past to have a more rigorous explanation for this all but I lack the time and honestly the intellect.

[DrDroop]

One more thing, I suspect you can also find these in proof/axiom systems.