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
Player II was a goalie, he could dive to the left or the right.
门将可以选择扑向左侧或者右侧
Player II has three choices left, center, and right, represented by the left, center, and right column in the matrix.
参与人II有三种选择,左中右,用矩阵的左中右三列来表示
What would you choose if you just happened to know that Player II was going to choose Left?
如果你们突然得知参与人II要选左了,你们会怎么选呢
For instance, if Player II picks left then Player I wants to pick bottom, but if Player II picks center, Player I wants to pick center.
例如,参与者II选择左,参与者I会选择下,但是若参与者II选择中,参与者I会选择中
And Player II is choosing Left or Right, and the payoffs are as follows.
参与人II有左右两个策略,收益是这样的
This is the payoff to Player I of choosing Middle against Left.
这条线表示参与人I在对手选右时,选择左而获得的收益
What if you knew that Player II was going to choose Left?
如果知道参与人II会选左你们怎么选
And all these strategies for Player II are gone, and all these strategies for Player II are gone, and what's left? A lot of scribble is left.What's left?
参与人II的这些策略被剔除了,参与人II的这些策略也被剔除了,划掉的都剔除后,最后剩什么了
It involves two players and we'll call the Players I and II and Player I has two choices, top and bottom, and Player II has three choices left, center, and right.
此博弈有两个参与人,分别为I和II,参与人I有两个选择,上和下,参与人II有三个选择,左中右
I've deleted all the strategies that were best, that are never best responses for Player I and all the strategies that are never best responses for Player II, and what I've got left is that little box.
我剔除了所有策略,所有非参与人I最佳对策的策略,还有非参与人II最佳对策的策略,最后只剩下了这个小方格
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