Insurance and being insured is itself a risk. Risk management is one of the challenges by which the insurance industry is now faced. Failure to the correct, logical and timely risk management causes serious problems for insurance industry such as price fluctuations and differences. Usually, the policyholder and insurer, each of them, impose the law and the rules themselves for more profit which means the disturbance in the relevant market for consumer use. The purpose of this paper is demonstrating the utility of risk management by each insurance pillar in a cooperative and non-cooperative manner with the Stackelberg strategic game (conflict situations). The data were analyzed in a semi-experimental manner based on expert opinion and with the goal of applied development in the form of mathematical relations. Since the suggested model has one insurer and one policyholder, the results showed that the insurer has gained more profit in exchange for the risk incurred than the policyholder for the risk incurred in the non-cooperative approach and in the cooperative approach compared with the aggregation of the utility of him and insurer, therefore, the risk is not always the criterion for more profit. It seems that there is a need for mechanisms for the unification of services in the community for the acceptance of all kinds of people.