Livni is an arrogant woman with an ego and she will never let herself be number 2 to Mofaz ( a man she has disliked for a very long time ) being reminded every time she sees him what she had and what he took from her. Livni will probably either start her own party and encourage her supporters from Kadima to join her or she will quit politics because anything else is a humiliation. She will probably wish Mofaz luck through gritted teeth and in the next couple of months announce her plans. Being leader for about 3 years and heading off attempts to topple her at least once before can never step down as leader. She will either form her own party, join another party or quit politics.
Kerry: Pollard's parole not related to Iran deal (Reuters)
from the article: Kadima voters await Livni's next move, following primary loss to Mofaz