A recent arxiv preprint has, so far as I can tell, completely resolved the Fermi paradox.
Basically, people were making the argument that there should be lots of alien civilizations by taking the Drake equation, plugging in some reasonable sounding values, and seeing that the expected number of alien civilizations is very large. This is actually a valid way to find the expected number of alien civilizations, since the expected value operator is linear (i.e. the expected value of the product of two variables is the product of the expected values of each variable), but what we care about is actually the probability of there being very few alien civilizations.
If your range of possible values for some parameters covers multiple orders of magnitude, then there is a high probability of getting an actual outcome multiple orders of magnitude lower (or higher) then the expected value would lead you to think, just because some parameters happened to have values much lower (or higher) then the midpoint.
The authors make an attempt to estimate the actual scientific uncertainty in each parameter and come up with an a priori ~30% chance of us being the only civilization in the observable universe. Therefore, there is no particular reason to be surprised that there are no alien civilizations.
Article: The Fermi paradox is the conflict between an expectation of a high ex ante probability of intelligent life elsewhere in the universe and the apparently lifeless universe we in fact observe. The expectation that the universe should be teeming with intelligent life is linked to models like the Drake equation, which suggest that even if the probability of intelligent life developing at a given site is small, the sheer multitude of possible sites should nonetheless yield a large number of potentially observable civilizations. We show that this conflict arises from the use of Drake-like equations, which implicitly assume certainty regarding highly uncertain parameters. We examine these parameters, incorporating models of chemical and genetic transitions on paths to the origin of life, and show that extant scientific knowledge corresponds to uncertainties that span multiple orders of magnitude. This makes a stark difference. When the model is recast to represent realistic distributions of uncertainty, we find a substantial ex ante probability of there being no other intelligent life in our observable universe, and thus that there should be little surprise when we fail to detect any signs of it. This result dissolves the Fermi paradox, and in doing so removes any need to invoke speculative mechanisms by which civilizations would inevitably fail to have observable effects upon the universe.
Basically, people were making the argument that there should be lots of alien civilizations by taking the Drake equation, plugging in some reasonable sounding values, and seeing that the expected number of alien civilizations is very large. This is actually a valid way to find the expected number of alien civilizations, since the expected value operator is linear (i.e. the expected value of the product of two variables is the product of the expected values of each variable), but what we care about is actually the probability of there being very few alien civilizations.
If your range of possible values for some parameters covers multiple orders of magnitude, then there is a high probability of getting an actual outcome multiple orders of magnitude lower (or higher) then the expected value would lead you to think, just because some parameters happened to have values much lower (or higher) then the midpoint.
The authors make an attempt to estimate the actual scientific uncertainty in each parameter and come up with an a priori ~30% chance of us being the only civilization in the observable universe. Therefore, there is no particular reason to be surprised that there are no alien civilizations.