Triumph over Your Rivals in Dynamic Oligopoly

Table 1

Equilibrium outcomes.

	All price-taker	1 price-taker m Colluded	All Colluded
Price	𝑝𝑤=𝑐1+𝑚+𝑐	𝑝=𝑐(𝑚+𝑐)2𝑐𝑚+𝑐^2+𝑚+𝑐	𝑝𝑢=𝑚+𝑐+12𝑚+2+𝑐
Outputs	𝑞𝑤=11+𝑚+𝑐	𝑥=𝑚+𝑐2𝑐𝑚+𝑐^2+𝑚+𝑐𝑐𝑦=2𝑐𝑚+𝑐^2+𝑚+𝑐	𝑞𝑢=12𝑚+2+𝑐
Profits	𝜋𝑤=𝑐2(1+𝑚+𝑐)^2	𝜋^𝑥=12𝑐(𝑚+𝑐)^2(2𝑐𝑚+𝑐^2+𝑚+𝑐)^2𝜋^𝑦=12𝑐^2(2𝑚+𝑐)(2𝑐𝑚+𝑐^2+𝑚+𝑐)^2	𝜋𝑢=12(2+2𝑚+𝑐)
Sales	𝑠𝑤=𝑐(1+𝑚+𝑐)^2	𝑠^𝑥=𝑐(𝑚+𝑐)^2(2𝑐𝑚+𝑐^2+𝑚+𝑐)^2𝑠^𝑦=𝑐^2(𝑚+𝑐)(2𝑐𝑚+𝑐^2+𝑚+𝑐)^2	𝑠𝑢=𝑚+𝑐+1(2𝑚+2+𝑐)^2