Asymmetric Quantum Stackelberg Duopoly Game Based on Isoelastic Demand

A quantum Stackelberg duopoly with isoelastic demand is proposed by using Qin et al.’s asymmetric quantization scheme. The existed conditions of quantum equilibrium are investigated, constituted by three parameters: the relative marginal cost m , and two different entanglement factors γ and α . On t...

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Bibliographic Details
Published in:International journal of theoretical physics 2022-03, Vol.61 (3), Article 75
Main Authors: Zhong, Yangmei, Shi, Lian, Xu, Feng
Format: Article
Language:English
Subjects:
Asymmetry
Demand
Elementary Particles
Game theory
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:A quantum Stackelberg duopoly with isoelastic demand is proposed by using Qin et al.’s asymmetric quantization scheme. The existed conditions of quantum equilibrium are investigated, constituted by three parameters: the relative marginal cost m , and two different entanglement factors γ and α . On this basis, the impacts of γ and α on the leader’s and the follower’s optimal profits u 1 ∗ and u 2 ∗ , the first-mover advantage δu ∗ and the total product quantity Q ∗ are analyzed. A positive γ will increase u 1 ∗ and u 2 ∗ , reduce Q ∗ , and, depending on m , increase or reduce δu ∗ . Nevertheless, the influences of α are exactly the opposite. The results of the asymmetric Stackelberg duopoly with isoelastic demand are different from the case with linear demand. To better manage the market, one should consider the market structure besides choose proper entanglement factors.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-022-05057-2