They own this firm jointly and they split the profits, so they share 50% of the profits each.

他们共同拥有这家公司并且平分利润,即他们各自持有50%的股份

耶鲁公开课 - 博弈论课程节选

So the players are going to be the two agents and they own this firm let's call it.

这两个参与人都是公司的股东,他们都持有公司的股份

耶鲁公开课 - 博弈论课程节选

You have left the Presbyterians and the Independents, and at this point the Presbyterians are in firm control.

剩下的是长老派成员和无党派人士，这时候，长老派成员获得了完全的控制权。

耶鲁公开课 - 弥尔顿课程节选

I looked up CEO of Coldwell Banker, this is a real estate broker's firm.

我查了一些关于Coldwell，Banker，CEO的资料，这是一个地产经纪公司。

耶鲁公开课 - 金融市场课程节选

So they're going to share equally in the profits of this firm, or this joint project, but you're going to supply efforts individually.

总结起来就是两家公司平分利润,但是都要各自为协作项目付出努力

耶鲁公开课 - 博弈论课程节选

Each agent is going to choose her effort level to put into this firm.

每个股东都要选择为公司投入多少精力

耶鲁公开课 - 博弈论课程节选

So this will be the monopoly quantity for Firm 2 and this is the competitive quantity of Firm 1.

这里表示公司2的垄断产出,这里是公司1的完全竞争产出

耶鲁公开课 - 博弈论课程节选

So this will be total quantity of goods produced by Firm 1 and goods produced by Firm 2 that are consumed.

所以它量表示,公司1和公司2,所生产出的,能被市场消耗的产品总量

耶鲁公开课 - 博弈论课程节选

Let's be careful here; let's do this for Firm 1 and we'll do Firm 2 in a second.

这里要稍微注意一下,我们先写公司1的然后再写公司2的

耶鲁公开课 - 博弈论课程节选

If Firm 2 produces this amount then Firm 1's best response is this amount.

如果公司2的产量是这么多,那么公司1的最佳对策就是这个产量

耶鲁公开课 - 博弈论课程节选

So Firm 2 is already producing all of this quantity.

即公司2生产了全部这么多的单位

耶鲁公开课 - 博弈论课程节选

Let's just... We'll get there, just to remind you, the way we read this is you give me a quantity of Firm 2, I find Firm 1's best response by going across to the pink line and dropping down.

我们当然也能算出来,提醒一下各位,这个图像的个意思是任意给出公司2产量,然后通过这条粉色的线,就可找出与之对应的公司1的最佳对策

耶鲁公开课 - 博弈论课程节选

And in Economics, this is about firm's crowding together to try and get shoppers who are close to them.

在经济学中,他表现为商业普遍集中,以试图争取附近的客源

耶鲁公开课 - 博弈论课程节选

I go up to the green line and go across and this tells me the best response for Firm 2.

根据这条绿线的对应法则,就可以对应出公司2的最佳对策

耶鲁公开课 - 博弈论课程节选

So if Firm 2 produces this amount then Firm 1's best response is this amount.

如果公司2的产量是这么多,那么公司1的最佳对策就是这个产量

耶鲁公开课 - 博弈论课程节选

Suppose Firm 2 has produced all of this quantity up to here.

假设公司2产量一直提高到这里

耶鲁公开课 - 博弈论课程节选

The reason is that the best response for Firm 1, So it turns out it's pretty to check that this is the only Nash Equilibrium in the game.

因为公司1的最佳对策,所以很容易验证,这是此博弈中唯一的纳什均衡

耶鲁公开课 - 博弈论课程节选

And to make this more concrete, if a firm is competing against a competitor it can be pretty sure, that competitor is a pretty sophisticated game player and knows that the firm is itself.

再具体点说,如果一家公司在和它的竞争对手竞争,可以肯定其竞争对手一定很老练,这家公司当然也很老练啦

耶鲁公开课 - 博弈论课程节选

Now, with this in hand, what I want to do is, and in Firm 2 I have a similar expression, what I want to do is, I want to figure out the Nash Equilibrium of this game.

知道它了以后,因为公司2的表达式也是相似的,接下来我们就可以尝试找出纳什均衡了

耶鲁公开课 - 博弈论课程节选

I claim this quantity is a - c over b such that if Firm 2 produces that much quantity, firm 1 will just produce nothing.

这个量是,/b,如果公司2生产这么多公司1就会停产

耶鲁公开课 - 博弈论课程节选