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Dedicated servers have been one of the biggest issues discussed on the forums.  Its one of the key concepts holding back Awesomenauts*.  This page is dedicated (no pun intended) to list the forum topics and general ideas around dedicated servers.

Notable Quotes

rallfo wrote:

 

Client side hit detection can be and is done in various dedicated server implementations, and actually works better and more consistently. As well as hybrid schemes.

Furthermore there are superior schemes for lag compensation in authoritative servers (e.g. source engine) that have as good as the same effect with better cheat resiliency.

There are experiments showing the lag of a dedicated CounterStrike server can be far below the input and display lag of a standard PC. So that's really the benchmark of what's been achieved in practice and dedicated servers beat P2P implementations by an order of magnitude in the lag stakes.

Clearly Awesomenauts can certainly do better by switching away from P2P, whatever particular approach is used.

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Dedicated Server Forum Post

Note, Dedicated Servers are mentioned in many more posts but the posts listed below mention dedicated servers in the OP's thread.