He will never change!! Like the saying goes---ONCE A CHEATER ALWAYS A CHEATER!!!!! 
He has continued this inappropriate behavior even after the first show. He continues to have contact with the other woman.  
I just can't understand why this woman has stayed with this man after all this time. I can understand the first time trying to work the marriage out--going to counseling services. But he has showed no improvement--he has made very little change in his behavior.  
To me I think he likes doing this--to me he likes--HAVING HIS CAKE AND EATING IT TOO!!! 
This woman should show him the door--either the front of the back door--and push him on out of her life. 
No woman deserves this type of treatment from a man.  
And the other woman--does she enjoy being the OTHER WOMAN??? 
To him this is a game he is playing--he is playing games with everyone involved. 
He is not being a good upstanding role model for his children. 
I wish the children the best of luck in all they do and hope this does not affect them in their future lives in how the treat and love women.