Non-zero-sum reinsurance games subject to ambiguous correlations

This paper studies the economic implications of ambiguous correlation in a non-zero-sum game between two insurers. We establish the general framework of Nash equilibrium for the coupled optimization problems. For the constant absolute risk aversion (CARA) insurers, we show that the equilibrium reins...

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Bibliographic Details
Main Authors: Pun, Chi Seng, Siu, Chi Chung, Wong, Hoi Ying
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/10356/83369
http://hdl.handle.net/10220/41181
Description
Summary:This paper studies the economic implications of ambiguous correlation in a non-zero-sum game between two insurers. We establish the general framework of Nash equilibrium for the coupled optimization problems. For the constant absolute risk aversion (CARA) insurers, we show that the equilibrium reinsurance strategies admit closed-form solutions. Our results indicate that the ambiguous correlation leads to an increase in the equilibrium demand of reinsurance protection for both insurers. Numerical studies examine the effect on the quality of the correlation estimations.