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Bowley solution of a mean–variance game in insurance

2021-05-13 11:10

报告人: 李丹萍

报告人单位: 华东师范大学

时间: 2021年5月21日(周五)上午8:30

地点: 卫津路校区6号楼108教

开始时间:

报告人简介: 副教授

年:

日月:

报告人简介:

华东师范大学经济与管理学部统计学院副教授,主要研究方向为随机最优控制在金融和保险中的应用,目前已在Mathematical Finance, Insurance: Mathematics and Economics, Journal of Economic Dynamics and Control, Scandinavian Actuarial Science等国际重要杂志上发表学术论文二十余篇。主持一项国家自然科学基金青年项目,2018年入选上海市晨光计划。

报告内容:In this paper, we compute the Bowley solution of a one-period, mean–variance Stackelberg game in insurance, in which a buyer and a seller of insurance are the two players, and they act in a certain order. First, the seller offers the buyer any (reasonable) indemnity policy in exchange for a premium computed according to the mean–variance premium principle. Then, the buyer chooses an indemnity policy, given that premium rule. To optimize the choices of the two players, we work backwards. Specifically, given any pair of parameters for the mean–variance premium principle, we compute the optimal insurance indemnity to maximize a mean–variance functional of the buyer’s terminal wealth. Then, we compute the parameters of the mean–variance premium principle to maximize the seller’s expected terminal wealth, given the foreknowledge of what the buyer will choose when offered that premium principle. This pair of optimal choices, namely, the optimal indemnity and the optimal parameters of the premium principle, constitute a Bowley solution of this Stackelberg game. We illustrate our results via numerical examples.


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