He tested the free-diving self-propelled submersible - one of only two in existence at the time - on increasingly deep dives off the California coast.

VOA: standard.2010.06.21

So I shoot to the left and the goalie dives to the left, my payoff is what? It's 4.

我从左路射门而门将也扑向左路时,我的收益是4

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So on the horizontal axis is my belief, and my belief is essentially the probability that the goalie dives to the right.

横轴表示的是我的信念,我的信念表示,我认为门将扑向右路的概率

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Walsh spent eight years in academia. The retired Navy captain continued to pursue his passions as a scuba diver, private pilot and explorer, participating in dozens ocean dives and expeditions to the polar regions.

VOA: standard.2010.06.21

So we're allowing you to, for example, to hold the belief that it's equally likely that the goalie dives left or dives right.

所以,打个比方,这里也可以包括,门将扑向左右两路概率相同的情况

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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

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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

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So if I shoot to the right and the goalie dives to the left, then I score with probability point 9 or my payoff is 9.

如果我从右路射门而门将扑向左路,我进球的概率是90%,即收益是9

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Conversely, if I shoot to the right and he or she dives to the right, then I score 40% of the time, so here's my payoff 4.

相反如果我从右路射门而门将扑向右路,我进球的概率是40%,收益是4

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It has as lower payoff if the goalie dives to the right.

如果门将扑向右边中路反而不如左路了

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And here's my green line representing my expected payoff as the shooter, from shooting to the right, as a function of the probability that the goalie dives to the right.

这条绿线表示作为一个罚球球员,我从右路射门的收益,是门将扑向右路概率的一个函数

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That's if the goalie dives to the left.

这是门将扑向左路时的情况

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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

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And if the goalie dives to the right, you're best off shooting to the left, second best off shooting to the middle, and worst off by shooting to the right; and that's kind of common sense.

如果门将扑向右边,你最好从左路射门,其次从中路射门,从右路射门是最差的选择,这些都是常识了吧

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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%

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