TY JOUR TI Probabilistic duopoly model KW duopoly KW purchasing power KW production and sales costs KW product price KW profit KW volume of sales KW Cournot equilibrium KW Bertrand equilibrium KW probability density function KW expected value JO Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics AU Mikheev, A.. PY 2022 IS PB Astrakhan State Technical University