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The relation between ordering of risks and optimal insurance contracts has recently been dealt with in case the insured or the insurer can determine the contract independently.In this paper we will analyse the influence of increasing risks on insurance contracts that have been fixed during the negotiations between both parties involved.Game theory provides us with several criteria to determine optimal insurance contracts taking the intrests of both parties into account.The influence on these contracts when the risk is replaced by a heavier-tailed one will be analysed.
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