Why is the intersection between firms' best-response functions in Figure 12.2 for the Cournot model or 12.3

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Why is the intersection between firms' best-response functions in Figure 12.2 for the Cournot model or 12.3 for the Bertrand model with differentiated products a graphical illustration of the Nash equilibrium concept?
Figure 12.2
Cournot Best-Response Functions
Why is the intersection between firms' best-response functions in Figure

Figure 12.3
Bertrand Model with Differentiated Products

Why is the intersection between firms' best-response functions in Figure
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Intermediate Microeconomics and Its Application

ISBN: 978-1133189039

12th edition

Authors: Walter Nicholson, Christopher M. Snyder

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