However, these conditions coincide with the values of Δ C Δ B assuring joint contribution in the simultaneous framework.
These results clearly point out for the need of a simultaneous framework for design with controllability and profitability.
These results clearly point out for the need of a simultaneous framework for flexible design and profitability.
In other words, the simultaneous framework is successful in increasing total contribution given that countries are willing to contribute, while the sequential framework is successful in inducing contribution.
The proposition is crucial because it points out that in a sequential framework the range of Δ C Δ B under which there exists joint contribution is wider compared to the simultaneous framework (see Figure 1).
We want to prove that total contribution in the simultaneous framework ( g ~ C + g ~ B ) dominates total contribution in the sequential framework ( g C ∗ + g B ∗ and g C ∗ ∗ + g B ∗ ∗ ).
which boils down to Δ C Δ B < 1 + d 2 d 2. we conclude that total contribution in the simultaneous framework dominates total contribution in the sequential framework when Δ C Δ B > d 2 π + d 2 (C leader) and Δ C Δ B < 1 + d 2 d 2 (B leader).
