To enable a player whose turn has not come yet to join a game by a method wherein an event is generated by the operation of some player from among a plurality of players, and a cutting-in is applied to the generated event in response to a trigger from the other player, and the content of the event is changed.

On a game machine main body 2, a character which is selected by each player is advanced on a grid by a number corresponding with a result of a roulette, and a point corresponding with the grid at the moved location is added, and by a point number for a specified period of time, a win/loss is determined. In this case, at respective grids, events or the like are set in advance, and a point is added in response to the content of an event. Then, when the event is selected, the content of the selected event is displayed, and also, a timer to count the specified period of time is started, and a trigger from a controller 3 of another player is made acceptable. When a trigger is generated, whether the trigger is valid or invalid is judged, and also, a card corresponding with the trigger is displayed on a display screen.