Quantum Cournot duopoly game with isoelastic demand function

This paper studies the quantum Cournot duopoly games with isoelastic demand function and unequal marginal costs by using the Li-Du-Massar and the Frackiewicz quantum schemes. The influences of relative marginal cost and degree of quantum entanglement on the optimal profits of the two players are analyzed theoretically and illustrated numerically. The results show that the profit of one player increase, but the profit of the other player decreases with increasing the relative marginal cost for any fixed degree of quantum entanglement. The profits of two players both increase with increasing the degree of quantum entanglement as the relative marginal cost is in a certain range. (C) 2020 Elsevier B.V. All rights reserved.