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In the group vertical handover (GVHO) scenario, many mobile terminals (MTs) send handover requests almost at the same time. The traditional vertical handover (VHO) schemes assume that the VHO user is coming one by one, so the current user knows the decision results of previous users, then the optimal result can be obtained. In GVHO scenario, multiple VHO decisions need to be made simultaneously, if the traditional VHO scheme was applied in this scenario, it may lead to system performance degradation or network congestion, because the decision-making MT does not know the results of other concurrent VHO users, so it may selfishly select the best networks just like in common VHO scenario. Therefore, three decision-making models for GVHO are proposed in this paper, and there performance comparisons are analyzed through numerical simulations.