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A game model is developed and evaluated to analyze the quality of service (QoS) support in IEEE 802.11e wireless local area networks (WLANs) that share radio resources in a coexistence scenario. In such scenarios, QoS cannot be supported by the 802.11e medium access control (MAC) protocol because of the unsolved competition between WLANs that operate in an unlicensed spectrum. A stage-based game model is introduced here in which WLANs are modeled as players. A player represents a quality of service basic service set (QBSS). The interaction of the players within the single stage game (SSG) is analytically modeled and evaluated with simulation.