This paper addresses joint inventory stockpiling of medical supplies for groups of hospitals prior to a disaster. We assume patient demand is uncertain and driven by the characteristics of a variety of scenarios of a disastrous event, and hospitals have mutual aid agreements for inventory sharing in emergency. We model this problem as a noncooperative strategic game, prove the existence of a Nash equilibrium, and analyze the equilibrium solutions. We also examine a centralized model of stockpile decision making where a central decision-maker optimizes the entire system, and we compare the solutions to those of the decentralized (game) model.
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