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Mengzhen Li, Haibin Chen, Guanglu Zhou, Ding-Zhu Du, Time-dependent tensor variational inequality for an oligopolistic market equilibrium problem

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DOI: 10.23952/jnva.9.2025.1.08

Volume 9, Issue 1, 1 February 2025, Pages 133-160

 

Abstract. The general tensor variational inequalities are highly valuable for analyzing equilibrium problems in oligopolistic markets. In this paper, we begin by reviewing current conclusions related to the solutions of tensor variational inequality problems. Then, a new algorithm is proposed, which merges the inertial contraction projection method with the Mann-type method to tackle tensor variational inequalities under mild conditions. Finally, we investigate the equilibrium problem in dynamic (i.e., time-dependent) oligopolistic markets characterized by excess supply and demand. A numerical example is given to verify the effectiveness of the proposed algorithm.

 

How to Cite this Article:
M. Li, H. Chen, G. Zhou, D.Z. Du, Time-dependent tensor variational inequality for an oligopolistic market equilibrium problem, J. Nonlinear Var. Anal. 9 (2025), 133-160.