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Strategies and stability study for a triopoly game considering product recovery based on closed-loop supply chain

Junhai Ma (), Liqing Zhu () and Yani Guo ()
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Junhai Ma: Tianjin University
Liqing Zhu: Tianjin University
Yani Guo: Tianjin University

Operational Research, 2021, vol. 21, issue 4, No 3, 2282 pages

Abstract: Abstract This paper is focused on a triopoly closed-loop supply chain (CLSC) game model, including triopoly oligopolies applying for circular economy development. In the CLSC model, manufacturers sell new products and re-collect waste products for maximizing their profits. This paper analyzes the game processing, the Nash equilibrium solutions, and the stability of the game model. Moreover, the influences of parameters on the system’s stability have been investigated, using the maximal Lyapunov exponent, bifurcation graph, and the stable domain. The results show that the system will be unstable when the adjustment speed of the manufacture is too high; unreasonable price strategies could easily cause system bifurcation; the critical point of system bifurcation is closely related to the collecting price.

Keywords: Triopoly; Closed-loop supply chain; Complex system; Bifurcation; Stability analysis (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12351-019-00509-w

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