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Below are the frontrunners in each contest, their comments since the election, and the schedule for when the party rooms will convene to make their choices.
The Liberals
However, colleagues have criticised Taylor for failing to present detailed economic policy as Treasury spokesperson during the election campaign.

Party members are scheduled to vote on the new leader on Tuesday.
The Greens
NSW senator David Shoebridge announced on Sunday his decision not to run for Greens leader, telling Sky News he feels it is “time for a woman” to take the helm.
In a post-election interview, she said the Greens would use their balance of power in the Senate “to push Labor to do the things that they’ve promised, and push them to go further on dealing with the issues that people are really struggling with in their daily lives, and of course on climate and environment”.
Greens co-founder Drew Hutton says the party needs to address internal issues and broaden its appeal to voters, while former Greens senator Andrew Bartlett is urging for a thorough post-election review.
The Nationals
He said he would scrap the Nationals’ support for net-zero carbon emissions by 2050 and call for new housing supply and economic development in the regions if chosen as leader.