# 請幫我翻譯幾題賽局理論的題目~謝謝

(a) Consider the following strategic situation concerning the owner of a firm(O),the manager of the firm (M),and a potential worker (W).The owner first decides whether to hire the worker,to refuse to hire the worker,or to let the manager make the decision.If the owner lets the manager make the decision,,then the manager must choose between hiring the worker or not hiring the worker.If the worker is hired then he or she chooses between working diligently and shirking.Assume that the worker does not know whether he or she was hired by the manager or the owner when he or she makes this decision.If the worker is not hired,then all three players get a payoff of 0.If ther worker is hired and shirks,then the owner and manager each get a payoff of-1,whereas the worker gets 1.If the worker is hired by the owner and works diligently,then the owner gets a payoff of 1,the manager gets 0,and the worker gets 0.If ther worker is hired by the manager and works diligently,then the owner gets 0,the manager gets 1,and the worker gets 1.Represent this game in the extensive form(draw the game tree).

(b)Consider a variation of the Cournot duopoly game in which the firms move sequentially rather than simultaneously.Suppose that firm 1 selects its quantity first.After observing firm 1\'s selection, firm 2 chooses its quantity.This is called the von stackelberg duopoly model.Draw the extensive form of this game.

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(a) Consider the following strategic situation concerning the owner of a firm(O),the manager of the firm (M),and a potential worker (W).

請考慮以下幾種與公司老闆(O),公司經理(M)與潛在的員工(W)相關的策略性情境

The owner first decides whether to hire the worker,to refuse to hire the worker,or to let the manager make the decision.

老闆首先決定是否要雇用這個員工還是拒絕雇用這個員工,亦或是讓經理做決定

If the owner lets the manager make the decision,then the manager must choose between hiring the worker or not hiring the worker.

如果老闆讓經理做這個決定,則經理一定得選擇是否雇用這個員工

If the worker is hired then he or she chooses between working diligently and shirking.

如果這個員工被雇用了,則他(她)要選擇努力工作或是偷懶

Assume that the worker does not know whether he or she was hired by the manager or the owner when he or she makes this decision.

假設這個員工在他做決定時,不知道他(她)是否被經理或老闆雇用

If the worker is not hired,then all three players get a payoff of 0.

如果這個員工沒被雇用,則三位角色得不到任何報酬(得到0).

If ther worker is hired and shirks,then the owner and manager each get a payoff of-1,whereas the worker gets 1.

如果這個員工被雇用而且上班偷懶,則老闆跟經理各得到-1的報酬,然後員工得到1

If the worker is hired by the owner and works diligently,then the owner gets a payoff of 1,the manager gets 0,and the worker gets 0.

如果員工被老闆雇用而且認真工作,則老闆可以得到報酬1,而經理與員工都只能得到0

If ther worker is hired by the manager and works diligently,then the owner gets 0,the manager gets 1,and the worker gets

如果員工被經理雇用而且認真工作,則老闆得到0,而經理與員工都可以得到1

Represent this game in the extensive form(draw the game tree).

請用賽局樹來表示此賽局(劃出賽局樹)

(b)Consider a variation of the Cournot duopoly game in which the firms move sequentially rather than simultaneously.

考慮Cournot雙寡佔賽局的一個變動(變數),在此賽局裡公司相繼地移動而不是同時移動

Suppose that firm 1 selects its quantity first.

假設公司1先選擇他的數量

After observing firm 1's selection, firm 2 chooses its quantity.

在觀察了公司1的選擇之後,公司2選擇了他的數量.

This is called the von stackelberg duopoly model.

這被稱為von Stackelberg雙寡佔模型

Draw the extensive form of this game.

請畫出這個賽局的賽局樹

Source(s): 自己是英文家教and大學時修過賽局理論

(a) 考慮以下戰略情況關於firm(O), 企業(M), 和潛力工作者的經理的所有者(W).The 所有者首先決定是否雇用工作者, 拒絕雇用工作者, 或讓經理做所有者讓經理做出決定的decision.If, 經理必須然後選擇在雇用工作者之間或不聘用worker.If 工作者是聘用然後他或她選擇在工作者不知道的工作努力和shirking.Assume 之間是否他或她由經理雇用了或所有者當他或她做這decision.If

工作者不雇用, 然後er the following strategic situation concerning the owner of a firm(O), the manager of the firm (M), and a potential worker (W).The owner first decides whether to hire the worker, to refuse to hire the worker, or to let the manager make the decision.If the owner lets the manager make the decision, then the manager must choose between hiring the worker or not hiring the worker.If the worker is hired then he or she chooses between working diligently and shirking.Assume that the worker does not know whether he or she was hired by the manager or the owner when he or she makes this decision.If the worker is not hired, then all three players get a

payoff of 0.If ther worker is hired 並且shirks, 然後所有者和經理每個得到結局1, 但是工作者得到工作者由所有者雇用的1.If 並且努力地工作, 所有者然後得到結局1, 經理得到0, 並且工作者得到0.If ther 工作者由經理聘用和努力地工作, 所有者然後得到0, 經理得到1, 並且工作者得到1.Represent 這場遊戲在廣泛的form(draw 遊戲樹) 。

(b)Consider 企業連續地搬走而不是simultaneously.Suppose

Cournot duopoly 比賽企業1 選擇它的數量first.After 觀察企業1 選擇, 企業2 的變異選擇它的quantity.This duopoly 告訴馮stackelberg model.Draw 這場遊戲的廣泛的形式。

Source(s): 自己~ ~!!!