2. Leakage effects of endogenous ETS quota supply
The authors argue that the political process for making future ETS quota supply decisions is likely to reduce leakage caused by a unilateral decision to abate within the quota sector by an ambitious EU member state. Their basic argument (illustrated in Figure 4 of their paper and developed mathematically in Appendix A) is that the EU’s cost of emission reductions is lowered relative to the initial state when the ambitious country unilaterally undertakes extra abatement measures. Thus, when emission quota supply is reconsidered at some point in the future, it would be less costly to reduce quota supply than it would otherwise have been (all other things being equal). This causes the EU-level balancing of climate reductions against abatement costs (reflecting an underlying bargaining process between member states) to shift toward even more reductions, assuming that the EU-level trade-off evaluation between costs and emissions reductions remains the same. This is an appealing argument – perhaps in part due to its simplicity. It may, however, be too simple.
While unilateral emissions reductions in the ambitious country unequivocally reduce EU abatement costs, it is not clear that this will leave the EU-level trade-off between emissions and abatement costs unaffected. In the following, I offer an example where this trade-off is affected in such a way that quota supply is increased, not reduced.
I assume that the EU-level trade-off between emission reductions and costs is the result of a Nash bargaining process between an ambitious and an unambitious block of member states, illustrated in Figure 1. Initially, both blocks have the same abatement cost curves, labelled A- and UA-MAC in Figure 1. Emissions are measured from the right, and the point where the A- and UA-MAC curves cross the horizontal axis (labelled O1) indicates the level of emissions when the price of CO2-emissions is zero (no regulation). As the price of emissions (indicated on the vertical scale) increases, each block’s emissions are reduced, as indicated by its MAC curve. Adding the two emission curves horizontally gives the EU emissions curve labelled EU MAC. Emission reductions for the EU and for each block are correspondingly measured from the left, starting at points O and O1, respectively. Horizontally adding each block’s emission reductions measured in this way, as indicated by the blocks’ MAC curves, gives the EU emissions reduction indicated by the EU MAC curve.
The ambitious and unambitious blocks have a willingness to pay for their own reductions, labelled A-WTP and UA-WTP, respectively (willingness to pay for reductions in the other block is assumed to be zero). Initially, the only difference between the blocks is that the ambitious block has a higher level of WTP, as indicated by the two WTP lines in Figure 1.
I assume that the Nash bargaining equilibrium that results from the negotiation process is the quota supply (labelled ‘bargaining equilibrium ETS supply’ in Figure 1), where each block has the same bargaining-power-adjusted welfare loss compared to its preferred quota supply. I also assume that the bargaining process rules outside payments through quota grandfathering so that quotas are grandfathered to each block in a proportion that ensures no revenue/quotas are transferred between blocks in the resulting equilibrium. Given this, each block’s preferred quota supply is the one that results in a quota price that implements its own preferred level of reductions, indicated by the blue and green dots, respectively, in Figure 1. The blue and green triangles are the welfare loss for each block resulting from the bargaining solution ETS supply indicated by the red dot in Figure 1. Thus, Figure 1 illustrates a bargaining solution in which the ambitious block has greater bargaining power and, in turn, the bargaining equilibrium leaves them with a smaller welfare loss than the unambitious block.
After the implementation of this bargaining solution, the ambitious block decides to unilaterally implement policies that ensure its own preferred abatement level, which is illustrated in Figure 2. This could be by imposing a local carbon tax equal to its equilibrium WTP (WTP at the blue dot indicated in Figure 2) minus the quota price (labelled A-block tax in Figure 2), for example. If the quota price is lower than equilibrium WTP, the abatement incentive equals the equilibrium WTP. If it is greater, the abatement incentive equals the quota price. After implementation of this policy, the A-block MAC curve shifts to the indicated vertical line under the equilibrium WTP since these abatements have already been undertaken. The result is that quota prices under this level no longer affect the abatement efforts of the ambitious block. This results in a corresponding shift in the EU MAC (total EU quota demand) curve and so causes a fall in the quota price, as indicated by the downward shift of the red dot in Figure 2 (consistent with the authors’ assumption).