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An Extension of One-Period Nash Equilibrium Model in Non-Life Insurance Markets
Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
Faculty of Mathematics, Computer and Natural Sciences, German-Mongolian Institute for Resources and Technology, Nalaikh, Mongolia
Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
- 1 Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
- 2 Faculty of Mathematics, Computer and Natural Sciences, German-Mongolian Institute for Resources and Technology, Nalaikh, Mongolia
- 3 Department of Applied Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
Applied Mathematics·Volume 09 (2018)·Pages 1339–1350·Published 19 December 2018·DOI10.4236/am.2018.912087
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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.
KeywordsNash Equilibrium ModelVariational InequalitiesTransition MatrixNon-Life Insurance Markets
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