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Table 10 Gabszewicz and Wauthy’s equilibria

From: Agent-based models and industrial organization theory. A price-competition algorithm for agent-based models based on Game Theory

Equilibria

Prices

Demands

Profits

Duopolistic equilibrium

\(p_{1}=\pi _{1}=2/49\)

\(p_{2}=\pi _{2}=8/49\)

\(x_{1}=v_{1}=2/7\)

\(x_{2}=v_{2}=4/7\)

\(\Pi _{1}=0.0233\)

\(\Pi _{2}=0.1866\)

Monopoly corner eq.

\(p_{1}=0, \pi _{1}=1/2\)

\(x_{1}=1,v_{1}=1/2\)

\(\Pi =1/4\)

Monopoly equilibrium

\(p_{1}=\pi _{1}=1/2\)

\(x_{1}=v_{1}=1/2\)

\(\Pi =1/4\)