Равновесия Курно - Нэша и Курно - Штакельберга -Нэша для дробных целевых функций

Abstract

For fractional objective functions, the Cournot–Nash equilibrium may give returns below 100 %. The reasonable Cournot–Nash equilibrium is suggested. The latter is a projection of the classical one onto the constructed set. For fractional objective functions, a firm's output in Cournot--Nash equilibrium exceeds a firm's output in cartel optimum, but relation of corresponding profits is uncertain. The concept of Cournot–Nash equilibrium is generalized to a case of convex combinations of corresponding profits and returns.