Quantum Cournot duopoly game with isoelastic demand function

Lian Shi, Feng Xu and Yongtai Chen

Physica A: Statistical Mechanics and its Applications, 2021, vol. 566, issue C

Abstract: This paper studies the quantum Cournot duopoly games with isoelastic demand function and unequal marginal costs by using the Li–Du–Massar and the Frąckiewicz 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.

Keywords: Quantum game; Cournot duopoly; Isoelastic demand function; Relative marginal cost; Degree of quantum entanglement (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:566:y:2021:i:c:s0378437120309122

DOI: 10.1016/j.physa.2020.125614

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