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In order to develop an adaptive agent that a human user may feel easy to adapt to, it is useful to establish an adaption loop between the user and the agent. A mutual adaptation phenomenon often occurs during establishment of such an adaption loop. Aiming to disclose the essence of mutual adaptation, we designed a waiter agent task and conducted an experiment with respect to human-agent mutual adaptation. Results of the experiment imply that not only response behavior of the agent, but also type of human user affect the establishment of the adaptation loop.