The US chicken market (not necessarily eggs specifically) was in the Morgan Spurlock documentary follow up to "Supersize me", and it looked like the chicken "mafia" controlled the business.[3]
[1] https://www.tesco.com/groceries/en-GB/search?query=eggs&inpu... [2] https://groceries.asda.com/search/eggs [3] https://en.wikipedia.org/wiki/Super_Size_Me_2:_Holy_Chicken!