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has been cited by the following article:

• TITLE: An Extension of One-Period Nash Equilibrium Model in Non-Life Insurance Markets

  AUTHORS: G. Battulga, L. Altangerel, G. Battur

  KEYWORDS: Nash Equilibrium Model, Variational Inequalities, Transition Matrix, Non-Life Insurance Markets

  JOURNAL NAME: Applied Mathematics, Vol.9 No.12, December 20, 2018

  ABSTRACT: This paper deals with an extension of the one-period model in non-life insurance markets (cf. [1]) by using a transition probability matrix depending on some economic factors. We introduce a multi-period model and in each period the solvency constraints will be updated. Moreover, the model has the inactive state including some uninsured population. Similar results on the existence of premium equilibrium and sensitivity analysis for this model are presented and illustrated by numerical results.