A server device according to the present invention, which is connected to a plurality of player terminals through a network, includes a storage unit configured to store an initial upper limit of number of groups and an initial threshold value smaller than an upper limit of a group affiliation rate, which is a ratio of number of affiliated persons with respect to a quota of a group, a group generating portion configured to generate a plurality of groups to which the group affiliation rate of the initial threshold value is set, at a start of a game, based on the initial upper limit of the number of groups, and a player distributing portion configured to distribute players to groups.