Arms Races and Negotiations
研究两个玩家在私人信息下是否购买新武器的军备竞赛博弈,发现当存在极小概率的强硬类型时,唯一贝叶斯纳什均衡必然导致军备竞赛;但若该概率足够小,廉价谈判可使军备竞赛概率趋近于零。
Two players simultaneously decide whether or not to acquire new weapons in an arms race game. Each player's type determines his propensity to arm. Types are private information, and are independently drawn from a continuous distribution. With probability close to one, the best outcome for each player is for neither to acquire new weapons (although each prefers to acquire new weapons if he thinks the opponent will). There is a small probability that a player is a dominant strategy type who always prefers to acquire new weapons. We find conditions under which the unique Bayesian-Nash equilibrium involves an arms race with probability one. However, if the probability that a player is a dominant strategy type is sufficiently small, then there is an equilibrium of the cheap-talk extension of the game where the probability of an arms race is close to zero. Copyright 2004, Wiley-Blackwell.