dC1
∂θ1
< 0 and
⅛- > 0
∂θ1 .
The intuition is that when country 1’s costs increases, this leads to smaller re-
ductions by country 1, smaller reductions increase the marginal benefit for
country 2 of the same level of reductions, and, hence, it will reduce more in re-
sponse.
Appendix 2
Proof of result 1: We will show that a qi' < q(H,0) exists that satisfies both 4.a
and 4.b. Define qi' =min arg{NBi(L, qi,0) = NBi(L,q(L,1),1)}, i.e. qi' is the smallest
qi satisfying 4.b. If at the same time, qi' satisfies 4.a with strict inequality, then
existence is guaranteed. Given that NBi(H,q'i,0) > NBi(H,q(H,0),1), then also
NBi(H,qi',0) > NBi(H,q(L,1),1) , since q(H,0) is the unique maximizer of
NBi(H,ρ,0).
From this we have that
NBi(H,q'i,0)-NBi(H,q(L,1),1)>NBi(L,qi',0)-NBi(L,q(L,1),1). Hence, in order
to get separation, there must exist a qi' < qi (H,0), such that
NBi(H,qi',0)-NBi(H,q(L,1),1)>NBi(L,qi',0)-NBi(L,q(L,1),1).
Proof of result 2: Weak domination for the low cost type in this set-up corre-
sponds to the following inequality. If NBi (L,q(L,1),1) ≥ NBi (L, qi ,0), then all qi
are weakly dominated by q(L,1). But this expression is equal to 3.2, the condi-
tion satisfied by all separating equilibria. Hence, all qi are weakly dominated by
c(L,1) for the low cost type.
Define qH = minarg{NBi (H, q 1H ,0) = NBi (H, q(H,0),1)}. We now show that no
q 1H ≠ qH is weakly dominated. This amounts to showing that
43
More intriguing information
1. The name is absent2. Outsourcing, Complementary Innovations and Growth
3. A production model and maintenance planning model for the process industry
4. Methods for the thematic synthesis of qualitative research in systematic reviews
5. Corporate Taxation and Multinational Activity
6. AMINO ACIDS SEQUENCE ANALYSIS ON COLLAGEN
7. Contribution of Economics to Design of Sustainable Cattle Breeding Programs in Eastern Africa: A Choice Experiment Approach
8. Asymmetric transfer of the dynamic motion aftereffect between first- and second-order cues and among different second-order cues
9. he Effect of Phosphorylation on the Electron Capture Dissociation of Peptide Ions
10. IMPROVING THE UNIVERSITY'S PERFORMANCE IN PUBLIC POLICY EDUCATION