Given the same emission price, intensity-based output rebating incentivizes the most intensity reductions, while abatement-based rebating causes the most output reductions, and output-based rebating puts the least pressure on output (and emissions); intensity-based emissions rebating lies in between these, by implicitly subsidizing emissions while incentivizing intensity reductions.
The study supplements partial equilibrium theoretical analysis with numerical simulations to assess the performance of different mechanisms in a multisector general equilibrium model that accounts for economy-wide market interactions.