Bargaining and the Right to Remain Silent
分析了一类存在缺口的一侧不完全信息交替出价讨价还价博弈,证明了沉默定理:当时间间隔足够短时,知情方在博弈中不会提出任何严肃出价。
This paper analyzes a class of alternating-offer bargaining games with one-sided incomplete information for the case of gap. If sequential equilibria are required to satisfy the additional restrictions of stationarity, monotonicity, pure strategies, and no free screening, we establish the Silence Theorem: When the time interval between successive periods is made sufficiently short, the informed party never makes any serious offers in the play of alternating-offer bargaining games. A class of parametric examples suggests that the time interval required to assure silence is not especially brief. As a byproduct of the analysis, we also prove (under the same set of assumptions) a uniform version of the Coase Conjecture: When the time interval between successive periods is made sufficiently short, the initial serious offer by either party in an alternating-offer bargaining game must be less than E times the highest possible buyer valuation, for an entire family of distribution functions.