A model of distribution of medical expenses of impoverished people with the policy of targeted poverty alleviation

ZHAO Ketong, SUN Bingzhen, SONG Zhaoyu

Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (1) : 134-146.

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Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (1) : 134-146. DOI: 10.12011/SETP2019-0860

A model of distribution of medical expenses of impoverished people with the policy of targeted poverty alleviation

  • ZHAO Ketong, SUN Bingzhen, SONG Zhaoyu
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Abstract

With the implementation of the policy of targeted poverty alleviation, the impoverished people under the current standards by 2020 will all be lifted out of poverty. Nevertheless, the solution to the existing problem of impoverished people does not mean that there will be no more impoverished people after that. Basic medical insurance, critical illness insurance program and medical assistance are important guarantees to prevent the emergence of impoverished people. The establishment of a tripartite system of sharing medical expenses, which may still require additional reimbursement, is an important basis for ensuring that there is no more impoverished by diseases and back to poverty due to illness. In this paper, we consider the problem of sharing additional expenses of medical insurance, introduce the theory of supply chain and game theory, and transform the problem into a multi-party cost-sharing problem. Firstly, we have constructed a cost-sharing model, to simplify the calculation of the proportions of parties, assume in which the basic medical insurance covers all the additional expenses, and critical illness insurance program and medical assistance achieve the purpose of sharing the additional reimbursement expenses by assuming the basic reimbursement expenses of the former. Then, the contract-bargaining process is composed of two Nash bargaining models. The problem of conflict and cost sharing is resolved according to the result of tripartite consultation, and the optimal decision of final cost sharing ratio is obtained. Finally, through the mathematical analysis of above-mentioned results, the more additional costs are borne, the more the basic costs are borne by critical illness insurance program and medical assistance, and the validity and correctness of the model are proved by data simulation.

Key words

impoverished people / medical insurance reimbursement ratio / cost sharing model / Nash bargaining / optimization decision

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ZHAO Ketong , SUN Bingzhen , SONG Zhaoyu. A model of distribution of medical expenses of impoverished people with the policy of targeted poverty alleviation. Systems Engineering - Theory & Practice, 2021, 41(1): 134-146 https://doi.org/10.12011/SETP2019-0860

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Funding

National Natural Science Foundation of China (71571090); the Youth Innovation Team of Shannxi Universities; the Fundamental Research Funds for the Central Universities (JB190601); Seed Foundation of Innovation Practice for Graduate Students in Xidian University
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