We introduce the concepts of joint games and compatibility. In a joint game, members of the grand coalition have the option to split and maximize their total worths, over different games. In order to determine whether the grand coalition will remain intact, we introduce the notion of...

In the global insurance market, the number of product-specific policies from different companies has increased significantly, and strong market competition has boosted the demand for a competitive premium. Thus, in the present paper, by considering the competition between each pair of insurers,...

In the insurance industry, the number of product-specific policies from different companies has increased significantly. The strong market competition has boosted the demand for a competitive premium. In actuarial science, scant literature still exists on how competition actually affects the...

This paper models an insurance market with insurers who compete with each other in more than one line of business (LoB). They set premiums for the single LoBs, whereas a discount on the total sum of the single premiums under a multi-policy contract is applied. Young tableaux are used to...