A game machine comprises a CPU (361) provided with a winner determining section(361c) for determining the winner advancing to the second round each time each game constituting the first round ends, a pairing determining section(361d) for allocating the winners determined by the winner determining section (361c) to selection parings of games constituting the second round, and a game start section (361e) for instructing a client terminal (1) included in the selection pairings (ST) to start a game of the second round when the opponents of the selection parings are set afar the winners are allocated to the selection parings. With this, the combinations of the next round of tournament games can be determined.