※ 引述《chestnut42 ()》之铭言： : 来源: 台大黄贞颖老师98考古题 : 科目: 个体经济学 : 问题: : 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固定消费1单位， 其他的钱都会用到B上呢？ 准线型无异曲线求解时 要多考虑角解 (M,B)分别等於(1,3).(0(不合,因为M要大於0),4).(4,0) 可知(M,B)=(1,3)时效用最大 : (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 买五本书 : 加上赠送的2张电影票，看三场电影 这题是说送两张电影票 但不能转售 所以新的预算限制线为(M-2)+B=4,M大於等於2 预算空间会往右多一块平行四边形 无异曲线往右移 切在(M,B)=(3,3)处 : (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恒等於1，TA会想把免费的两张电影票换成同样价格的两本书(？) 这题是说可将电影票换成图书兑换券 但维持和(b)小题一样的效用 由於是准线型无异曲线 非线性的部分为中性财 所以若让TA自由兑换 他会回归原本M的最适选择M=1 (b)小题效用=3+ln3=ln1+B' =>B'=3+ln3 最适解会由(3,3)移到(1,3+ln3) 故TA会拿两张电影票换ln3张的图书兑换券 : (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.) : 这跟上一小题都分不太清楚； : 麻烦大家了 : 谢谢<(_)> 这题看不是很清楚 我猜是说TA可借入和(b)小题电影兑换券一样的金钱 并使效用达到最大 新的预算线变成M+B=6 最适解为(M,B)=(1,5) 所以会拿2张电影兑换券换成2张图书兑换券 --

※ 发信站: 批踢踢实业坊(ptt.cc) ◆ From: 218.165.24.215