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Solution properties of oligopolistic network equilibria
Author(s) -
Qiu Yuping
Publication year - 1991
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230210506
Subject(s) - oligopoly , differentiable function , bipartite graph , lipschitz continuity , mathematical economics , supply and demand , mathematical optimization , mathematics , economics , cournot competition , microeconomics , pure mathematics , combinatorics , graph
In this article, we consider an oligopolistic market equilibrium problem defined on a bipartite network with suppliers on one side and demand regions on the other. With certain reasonable conditions on the supply and demand functions, we shall first show that the equilibrium solution exists and is unique and then show that this equilibrium solution is also Lipschitz continuous and directionally differentiable with respect to smooth perturbations.