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whose optimal solution set is denoted by, i.e., EU i's best response function.
As a conclusion, r k (p∖k) is an ascending best response function.
The best response function BR k (p−k), for all k ∈ K, is defined by (12).
If the best response function of SUs is a standard function, then NE in this game will be unique.
The best response function is how the node will behave, assuming that it acts in self-interest.
When B moves first, the best response function of C is g ̄ C = d ( M ̄ − M C ∗ ) − d 2 g B 1 + d 2. (11).
Similar(31)
Therefore, neither continuity nor linearity for the considered maximal response functions and the best response functions in these theorems is applied.
The operators, including high-speed rail, hub-and-spoke legacy airlines and regional low-cost carriers, maximize best response functions via prices, frequency and train/plane sizes, given infrastructure provision, cost functions and environmental charges.
The resulting analysis enables merging airlines to choose appropriate international hubs for their integrated network based on their own and their competitors' costs and revenues in the form of best response functions.
With no government subsidy (s=0) the resulting equilibrium will be the standard Cournot outcome, as shown in the graph by the intersection of the best response functions.
Clearly, best-response function ℬ i (R −i ),, is continuous on the strategy set Φ i (R −i ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com