Equilibrium in production chains with multiple upstream partners

doi:10.1016/j.jmateco.2019.04.002

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	Equilibrium in production chains with multiple upstream partners
	Yu, Meng 1,2; Zhang, Junnan 3
	2019-08-01
发表期刊	JOURNAL OF MATHEMATICAL ECONOMICS
ISSN	0304-4068
卷号	83 页码:1-10
摘要	In this paper, we extend and improve the production chain model introduced by Kikuchi et al. (2018). Utilizing the theory of monotone concave operators, we prove the existence, uniqueness, and global stability of equilibrium price, hence improving their results on production networks with multiple upstream partners. We propose an algorithm for computing the equilibrium price function that is more than ten times faster than successive evaluations of the operator. The model is then generalized to a stochastic setting that offers richer implications for the distribution of firms in a production network. (C) 2019 Elsevier B.V. All rights reserved.
关键词	Production network Firm boundaries Monotone concave operator theory Equilibrium uniqueness Computational techniques
DOI	10.1016/j.jmateco.2019.04.002
语种	英语
资助项目	Australian Government Research Training Program (RTP) Scholarship
WOS研究方向	Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS类目	Economics ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods
WOS记录号	WOS:000473249600001
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35108
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Junnan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Australian Natl Univ, Res Sch Econ, Canberra, ACT, Australia
推荐引用方式 GB/T 7714	Yu, Meng,Zhang, Junnan. Equilibrium in production chains with multiple upstream partners[J]. JOURNAL OF MATHEMATICAL ECONOMICS,2019,83:1-10.
APA	Yu, Meng,&Zhang, Junnan.(2019).Equilibrium in production chains with multiple upstream partners.JOURNAL OF MATHEMATICAL ECONOMICS,83,1-10.
MLA	Yu, Meng,et al."Equilibrium in production chains with multiple upstream partners".JOURNAL OF MATHEMATICAL ECONOMICS 83(2019):1-10.