ACT is phasing out stamp duty by increasing rates and land tax I believe and stamp duty will be eventually gone by 2020. Only problem is, for those of us who have already paid stamp duty, we'll also now get slugged with higher ongoing taxes!
There is some research to show that reductions in purchase costs like stamp duty might have the effect of increasing prices ie purchaser has $x to use for deposit and stamp duty, if stamp duty is abolished the purchaser still has $x to use but can use it all on the deposit.