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By experiment, this paper examines the influence of network latency on the fairness among players in a networked real-time game where we use haptic interface devices. In the experiment, we subjectively and objectively clarify the influence by changing the difference in network latency between two players. Experimental results show that the difference which leads to unfairness depends on the network latency. We also demonstrate that the differences larger than 30 ms or 40 ms lead to unfairness in the experimental system. Furthermore, we hardly perceive unfairness when the network latency of the two players is less than around 30 ms in the experiment.