"A rotation is the minimum that Kadima can demand so that a stable government sees the light of day," said Avi Dichter, a Kadima member and public security minister in the outgoing government.
He was referring to a power-sharing arrangement Israel had in 1984 after another close ballot, when the two top parties each held the post of prime minister for two years.
That government was one of the longest-serving in Israeli history.
Netanyahu has so far rejected the rotating premiership option, but has made it clear he favours a broad coalition including Kadima, rather than an alliance with parties to the right of his own.
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