• As I said before, for now we'll ignore the possibility that the goal keeper could stay put.

    正如之前所说的,现在我们先不考虑,门将可能选择留在中路的情况

    耶鲁公开课 - 博弈论课程节选

  • So this line represents the expected payoff of shooting to the middle as a function of the probability that the goal keeper dives to the right.

    这条线表示从中路射门时罚球者的收益,是门将扑向右路概率的一个函数

    耶鲁公开课 - 博弈论课程节选

  • It's the expected payoff to Player 1 if shooting to the left as it depends on the probability that the goal keeper dives to the right.

    它表示参与人1,从左路射门的预期收益,与门将扑向右路的概率有关

    耶鲁公开课 - 博弈论课程节选

  • So the number for the... The payoff for the shooter is his probability of scoring and the payoff for the goal keeper is just the negative of that.

    对罚球者来说,他的收益是进球的概率,而门将的收益是其相反数

    耶鲁公开课 - 博弈论课程节选

  • Is that right? So no: to say it another way, middle is not a best response to any belief I can hold about the goal keeper, to any belief.

    我说的没错吧,或者换个说法,从中路射门无论在何种信念下,都不是一个最佳对策

    耶鲁公开课 - 博弈论课程节选

  • The goal keeper is standing at the goal.

    对方门将站在球门线上

    耶鲁公开课 - 博弈论课程节选

  • And the idea here is that the number 4 represents 40% chance of scoring if you shoot the ball to the left of the goal and the goal keeper dives to the left.

    在这里表示进球概率是40%,前提是你从左路射门,而门将也扑向左路

    耶鲁公开课 - 博弈论课程节选

  • So the payoff here is something like u1 if the goal keeper dives to the left is equal to 4, by which I mean there's a 40% chance of scoring.

    收益u1表示门将扑向左路时,罚球者从左路进攻的收益是4,也就是说球被射入球门的概率是40%

    耶鲁公开课 - 博弈论课程节选

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