Sequential Equilibria in Signaling Games

The paper considers Bayesian multi-stage signaling games. Previously formulated for extensive-form games, concepts of sequential equilibrium, separating equilibrium, and pooling equilibrium are specified, and calculating methods for these equilibria are also discussed. A competitive collision model with signals indicating the rivals' states is studied as a specific example. We determine conditions for the existence of separating and pooling equilibria with ordered competition in which the competition object goes to one of the rivals without a rigid encounter. The model parameters ranges of the equilibria existence are also determined.