Monopoly with differentiated final goods and heterogeneous markets

Complex Dynamics of Knowledgeable Monopoly Models with Gradient Mechanisms

“…Moreover, Elsadany and Awad [8] explored a monopoly game with delays where the inverse demand is a log-concave function. Caravaggio and Sodini [3] considered a nonlinear model, where a knowledgeable monopolist provides a fixed amount of an intermediate good and then uses this good to produce two vertically differentiated final commodities. They found that there are chaotic and multiple attractors.…”

“…e − y 3 ) + f (e − (y + f (e − y 3 ))3 ),|1 − 3f x 2 | > 1, |1 − 3f y 2 | > 1, |1 − 3f (y + f (e − y 3 )) 2 | = 0, x = y,x > 0, y > 0, e > 0, f > 0.…”