Cheap Talk and Sequential Equilibria in Signaling Games
证明,在无限信号博弈中,加入廉价谈话可以解决序贯均衡不存在的问题,并探讨了廉价谈话序贯均衡与无廉价谈话博弈的近似关系。
Well-behaved infinite signaling games may have no sequential equilibria. We prove that adding cheap talk to these games solves the nonexistence problem: the limit of sequential equilibrium outcomes of finite approximating games is a sequential equilibrium outcome of the cheap-talk extension of the limit game. In addition, when the signaling space has no isolated points, any cheap-talk sequential equilibrium outcome can be approximated by a sequential e-equilibrium of the game without cheap talk.