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.