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This article focuses on the sharing of a bundled payment for integrated healthcare. We model this problem by means of cooperative game theory. Various approaches are considered, each of which gives rise to a particular cooperative game, and make it possible to take the chronology of medical events into account. The Shapley value, a priority rule and a proportional allocation rule are used to (partially) refund the healthcare professionals on the basis of the fee paid by the patient. We establish some properties of these allocation rules. We also show that the core of some of these aformentioned games is non-empty and can contain these allocation rules.