Market Equilibrium in Multi-tier Supply Chain Networks
Tao Jiang, Young-San Lin, Thanh Nguyen

TL;DR
This paper analyzes equilibrium in multi-tier supply chain networks, providing a linear time algorithm for computation and exploring how network structure affects trade flow and social welfare.
Contribution
It introduces a model for sequential decision-making in supply chains, proving uniqueness of equilibrium in series parallel networks and offering an efficient algorithm for its computation.
Findings
Unique equilibrium exists in series parallel networks
A linear time algorithm computes the equilibrium efficiently
Network structure impacts total trade flow and social welfare
Abstract
We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study the impact and invariant of the network structure to the total trade flow and social welfare.
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