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Dynamic Investigations of Shared Bicycle Operators’ Competition Based on Profit Maximization

Authors :
Lishuang Bian
Qizhou Hu
Xin Zhang
Xiaoyu Wu
Minjia Tan
Source :
Applied Sciences, Vol 14, Iss 20, p 9223 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

With the rise of the sharing economy, shared bicycles have become an important component of urban transportation. This paper explores the nonlinear dual oligopoly system for the Cournot model in the bike-sharing market; both operators have maximized profits as their competitive goals. The analysis of pivotal factors influencing passenger preferences, including pricing discounts and comfort levels, is meticulously depicted by a bifurcation diagram. A new chaotic attractor—the shared bicycle attractor—is discovered. The research results indicate that larger discounts and adjustment speeds can cause the system to be in a chaotic state, which is not conducive to the long-term development of operators, although discounts can indeed attract more passengers to a certain extent. On the other hand, the increase in the marginal cost of comfort loss can also make it difficult for enterprises to operate, which requires continuous technological innovation to improve the comfort of cycling.

Details

Language :
English
ISSN :
20763417
Volume :
14
Issue :
20
Database :
Directory of Open Access Journals
Journal :
Applied Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.57fc11c1e9c3407b8ab7329de464fa8b
Document Type :
article
Full Text :
https://doi.org/10.3390/app14209223