Game of the Byzantine Generals on Time-Varying Graphs

Abstract In this paper, we propose a game of the Byzantine Generals, which is a coordination game of agents seeking consensus by strategically transmitting information on a sequence of time-varying communication graphs. The first scenario of the game is where the generals cannot communicate with others at the same \"level\" in the communication graph. The second scenario is where those generals can. In either scenario, we examine the influences of the number of traitors and the decision rule held by the generals on equilibrium predictions of the game.