A method for modeling behavior of game elements during a remote game between at least two users, the method comprises: determining, by a processor of a computer, during the remote game between the at least two users, parameters for at least two game elements representing material objects, wherein mutual disposition and physical properties of the material objects are determined by the parameters of the game elements, wherein the parameters for the game elements characterize the states of the game elements, wherein the game elements comprise physical balls situated on a physical playing field, wherein the game elements are remote from the two users so that the users in performing a physical action are not able to directly apply a force action to the game elements; responsive to detecting, by at least a sensor, a physical action performed by a user in order to exert a force action on at least one game element, calculating, by a game manipulator, one or more physical parameters characterizing the physical action; determining, by a device, the game element to be subject to the detected physical action based on the determined parameters of at least one game element and the calculated physical parameters; calculating, by the device, the parameters of that force action on the determined game element; performing, by the device, a force action on the physical ball represented by the determined game element in accordance with the calculated parameters of the force action by at least one of: mechanically by striking the physical ball and by transfer of an electromagnetic pulse to the physical ball; determining, by the processor of the computer, one or more behavior parameters for the game elements, wherein the behavior parameters characterize a change in state of the game elements, by tracking the movement of the physical balls with one or more sensors; generating, by the processor of the computer, a behavior model of the game elements based on the determined parameters of the game elements and the determined behavior parameters of the game elements; and visualizing, using the generated behavior model, the results of the game on respective displays employed by the at least two users. determining, by a processor of a computer, during the remote game between the at least two users, parameters for at least two game elements representing material objects, wherein mutual disposition and physical properties of the material objects are determined by the parameters of the game elements, wherein the parameters for the game elements characterize the states of the game elements, wherein the game elements comprise physical balls situated on a physical playing field, wherein the game elements are remote from the two users so that the users in performing a physical action are not able to directly apply a force action to the game elements; responsive to detecting, by at least a sensor, a physical action performed by a user in order to exert a force action on at least one game element, calculating, by a game manipulator, one or more physical parameters characterizing the physical action; determining, by a device, the game element to be subject to the detected physical action based on the determined parameters of at least one game element and the calculated physical parameters; calculating, by the device, the parameters of that force action on the determined game element; performing, by the device, a force action on the physical ball represented by the determined game element in accordance with the calculated parameters of the force action by at least one of: mechanically by striking the physical ball and by transfer of an electromagnetic pulse to the physical ball; determining, by the processor of the computer, one or more behavior parameters for the game elements, wherein the behavior parameters characterize a change in state of the game elements, by tracking the movement of the physical balls with one or more sensors; generating, by the processor of the computer, a behavior model of the game elements based on the determined parameters of the game elements and the determined behavior parameters of the game elements; and visualizing, using the generated behavior model, the results of the game on respective displays employed by the at least two users.