Consider the following game in which Firms 1 and 2 simultaneously choose technology A (e.g., Android) or technology B (e.g., iOS). Let Profit, denote firm i's profit if both firms adopt echnology A, Profit BB denote firm i's profit if both firms adopt technology B, Profit; AB denote firm i's profit if both firm i adopts technology A and firm j adopts technology B, and finally Profit; BA denote firm i's profit if both firm i adopts technology B and firm j adopts technology A. Suppose: Profit₁ AB > Profit₁ BB: Profit₂AB > Profit₂AA;Profit₁ AA > Profit₁ BA and Profit₂ BB: Profit₂ BA What is the Nash equilibrium of the game?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter15: Oligopoly And Strategic Behavior
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Consider the following game in which Firms 1 and 2 simultaneously choose technology A (e.g., Android) or technology B (e.g., iOS). Let Profit; AA denote firm i's profit if both firms adopt
technology A, Profit BB denote firm i's profit if both firms adopt technology B, Profit; AB denote firm i's profit if both firm i adopts technology A and firm j adopts technology B, and finally
Profit; BA denote firm i's profit if both firm i adopts technology B and firm j adopts technology A. Suppose: Profit₁ AB > Profit₁ BB: Profit₂AB > Profit₂AA;Profit₁AA > Profit₁ BA and Profit₂BB >
Profit₂ BA What is the Nash equilibrium of the game?
Transcribed Image Text:Consider the following game in which Firms 1 and 2 simultaneously choose technology A (e.g., Android) or technology B (e.g., iOS). Let Profit; AA denote firm i's profit if both firms adopt technology A, Profit BB denote firm i's profit if both firms adopt technology B, Profit; AB denote firm i's profit if both firm i adopts technology A and firm j adopts technology B, and finally Profit; BA denote firm i's profit if both firm i adopts technology B and firm j adopts technology A. Suppose: Profit₁ AB > Profit₁ BB: Profit₂AB > Profit₂AA;Profit₁AA > Profit₁ BA and Profit₂BB > Profit₂ BA What is the Nash equilibrium of the game?
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