"The bot wasn't trying to adapt to them. It wasn't trying to exploit them. It wasn't trying to do these mind games. It was just trying to approximate the Nash equilibrium, and it crushed them." —— 机器人并没有试图适应他们,没有试图利用他们,也没有试图玩这些心理游戏。它只是试图逼近纳什均衡,并且彻底击败了他们。
"The key thing to understand about why imperfect information makes things difficult is that you have to worry not just about which actions to play, but the probability that you're going to play those actions." —— 要理解为什么不完整信息会让事情变得困难,关键在于你不仅要考虑采取哪些行动,还要考虑你采取这些行动的概率。
"We're what we're actually trying to maximize is the expected value given that the opponent is playing optimally in response to us." —— 我们实际试图最大化的是在对手对我们做出最优反应的情况下的期望价值。
"If you do a little bit of search, even just a little bit, it was the equivalent of making your pre-computed strategy a thousand times bigger with just a little bit of search, and it just blew away all of the research that we had been working on." —— 如果你进行一点搜索,哪怕只是一点点,其效果就相当于将你预先计算的策略放大一千倍,这彻底颠覆了我们之前所有的研究。