Adsense compatibility with adsense alternatives:

Google Adsense is known to have very strict TOS (Terms Of Service).They don't allow other Ad networks used along with them.If you place ads by a similar Ad network as that of Adsense, they might just remove you from their program ( hence many publishers are always under immense fear of getting banned from adsense!!!).

Let us learn more about adsense compatibility with adsense alternatives.
According to Google,
"You're welcome to display Google ads on the same site or page as other third party advertisements provided that the formatting or colors of the third party ads is different enough from that of the Google ads. In other words, if you choose to place non-Google ads on the same site or page as Google ads, it should always be clear to the user that the ads are served by different advertising networks and that the non-Google ads have no association with Google. If the formats are naturally similar, we ask that you choose different color schemes for the competing ads."

That clearly means that you can not publish the Ads which look similar to the Adsense ads.
Let us take one example.
If you have chosen the 468 x 15 format (small horizontal banner) for publishing Bidvertiser ads, alongwith the adsense ads, you are threatening the TOS of adsense.You can choose the different colour pattern such that it can be clearly differentiated from adsense unit.

What's the conclusion?
You can display the ads by any other ad network alongwith the adsense ads if those ads can be differentiated from that of the adsense ads.