※ 引述《chestnut42 ()》之銘言： : 來源: 台大黃貞穎老師98考古題 : 科目: 個體經濟學 : 問題: : Your TA has utility over books (B) and movie tickets (M) as follows: : u(B,M) = B + lnM . : The price of books and movie tickets is pB=pM=1 and the income devoted by : TA to these goods is 4. : MRS=M=1 : 是不是M固定消費1單位， 其他的錢都會用到B上呢？ 準線型無異曲線求解時 要多考慮角解 (M,B)分別等於(1,3).(0(不合,因為M要大於0),4).(4,0) 可知(M,B)=(1,3)時效用最大 : (b)(15 points) Imagine that I decide to give 2 movie tickets to your TA for : free. These coupons cannot be resold. In a clearly labeled diagram : (label : M on the x-axis and B on the y-axis), show your TA's budget set in this : situation. Indicate your TA's chosen consumption of M and B. : (B-2)+M=4, M=1, B=5 買五本書 : 加上贈送的2張電影票，看三場電影 這題是說送兩張電影票 但不能轉售 所以新的預算限制線為(M-2)+B=4,M大於等於2 預算空間會往右多一塊平行四邊形 無異曲線往右移 切在(M,B)=(3,3)處 : (c)(20 points) Your TA wants to save me money. So he proposes a deal to swap : movie tickets for book coupons. Each book coupon allows your TA to buy one : book. In doing so, he tries to keep himself as well off as before in (b) but : at the same time save me the maximum possible amount of money. How many book : coupons will your TA want to swap? How many book coupons will your TA demand : in exchange for the movie tickets? (Note: Tickets and Coupons do not have to : be traded in whole numbers.) : 想法: : 如果M恆等於1，TA會想把免費的兩張電影票換成同樣價格的兩本書(？) 這題是說可將電影票換成圖書兌換券 但維持和(b)小題一樣的效用 由於是準線型無異曲線 非線性的部分為中性財 所以若讓TA自由兌換 他會回歸原本M的最適選擇M=1 (b)小題效用=3+ln3=ln1+B' =>B'=3+ln3 最適解會由(3,3)移到(1,3+ln3) 故TA會拿兩張電影票換ln3張的圖書兌換券 : (d)(20 points) Your TA is smart. So he proposes a deal to swap movie tickets : for book coupons. Each book coupon allows your TA to buy one book. In : doing so, he tries to keep me sending the same amount of money as in (b) : but at the same time make himself as better off as possible. How many : book coupons will your TA want to swap? How many book coupons will your : TA demand in exchange for the movie tickets? (Note: Tickets and Coupons : do not have to be traded in whole numbers.) : 這跟上一小題都分不太清楚； : 麻煩大家了 : 謝謝<(_)> 這題看不是很清楚 我猜是說TA可借入和(b)小題電影兌換券一樣的金錢 並使效用達到最大 新的預算線變成M+B=6 最適解為(M,B)=(1,5) 所以會拿2張電影兌換券換成2張圖書兌換券 --

※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 218.165.24.215