The solution of Olbers' Paradox is:
- The universe is opaque at large scales
- The universe expands
- There is simply not enough starlight in the universe
- Matter is clustered in such a way that the integral brightness converges
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The expanding universe is one way to explain Olbers' paradox. The most distance regions are highly red-shifted and do not deliver enough energy to make the night sky infinitely bright, when integrating to infinite distance.
There isn't enough starlight in the universe, as strange as that sounds. But redshift does dim stars that are moving away from us at near-c speeds.
1 answer