In the social planner's problem,
z_1^1,z_1^2,z_2^1,z_2^2 in the
objective function must be
x_1^1,x_1^2,x_2^1,x_2^2.
Also, please assume that Pareto weights satisfy \lamba_i>0 for both i.
Lastly, please ignore "From Claim 1."
I apologize if I confused you and thank Kubota-san for letting me know.
P.S. Other minor typos are:
1) problem after (2-iii) must be (2-iv)
2) Pareto otimal, locally nonsatiated. (comma is needed in-between .)
Nakajima
2009年5月31日日曜日
2009年5月28日木曜日
About HW5&6
I marked all your HW 5&6 answer sheets.
In HW 5&6, 5 students got A+, 11 students got A, 4 students got B, and 7 students got C.
I marked A if you could have solved about 75% of problems or more, and marked B if 50% or more.
I awarded Hiraki, Ino, Konishi, Kubota, Matsuda as A+ by their excellent performance.
Comment:
I want to mention that this year's average performance in these HW is significantly improved (maybe equal or silightly higher than last year's average performance).
I continue suggesting you to review all your mistakes.
Anyone who has a question should come to my office.
Murooka
In HW 5&6, 5 students got A+, 11 students got A, 4 students got B, and 7 students got C.
I marked A if you could have solved about 75% of problems or more, and marked B if 50% or more.
I awarded Hiraki, Ino, Konishi, Kubota, Matsuda as A+ by their excellent performance.
Comment:
I want to mention that this year's average performance in these HW is significantly improved (maybe equal or silightly higher than last year's average performance).
I continue suggesting you to review all your mistakes.
Anyone who has a question should come to my office.
Murooka
TA session on 5/29
Next TA session will be held on 5/29, 1st slot.
I will return homework 5&6 in the TA session.
If you can not attend TA session,
please pick up your homework from room 426 mail box
after 5/29.
I will return homework 5&6 in the TA session.
If you can not attend TA session,
please pick up your homework from room 426 mail box
after 5/29.
Comment on Hwk 7-(1-vii)
Regarding the phrase " if we choose $\lambda_1,\lambda_2,\theta_1,\theta_2$ appropriately",
I did not mean that these parameters can be chosen independently.
This question just asks you to chose these parameters which is consistent with
FOCs for social planner's problem and brings FOCs in (1-iv) coincide with FOCs in (1-ii).
I did not mean that these parameters can be chosen independently.
This question just asks you to chose these parameters which is consistent with
FOCs for social planner's problem and brings FOCs in (1-iv) coincide with FOCs in (1-ii).
Comments on homework 7
There was a misleading statement in Problem 1 of hwk 7.
Since there is no producer in this economy,
I should have written "pure endowment economy" instead
of "private ownership economy."
I thank Nobara-san for pointing this out.
Since there is no producer in this economy,
I should have written "pure endowment economy" instead
of "private ownership economy."
I thank Nobara-san for pointing this out.
2009年5月15日金曜日
Correction for HW5
(i) In remarks, "with the answer sheet of HW4" is wrong.
Please staple with the answer sheet of HW6.
(ii) In problem 2, also assume x_1,x_2 \in R_{+}, and
f(0,k)=f(k,0)=0 for all k \in R.
Murooka
Please staple with the answer sheet of HW6.
(ii) In problem 2, also assume x_1,x_2 \in R_{+}, and
f(0,k)=f(k,0)=0 for all k \in R.
Murooka
Correction about TA session on 5/15
In HW4 problem 4 (ii), my explanation was misleading in the TA session.
Regarding the proof of upper-hemicontinuity, the proof of MWG (p.93) is correct.
However, you can't use just same argument
if you want to prove continuity of demand function.
(In other word, "The same argument also establishes continuity ..."
in MWG p.94 is incorrect.)
Thanks to Kubota for letting me know.
Best regards,
Murooka
Regarding the proof of upper-hemicontinuity, the proof of MWG (p.93) is correct.
However, you can't use just same argument
if you want to prove continuity of demand function.
(In other word, "The same argument also establishes continuity ..."
in MWG p.94 is incorrect.)
Thanks to Kubota for letting me know.
Best regards,
Murooka
2009年5月14日木曜日
About HW 3&4
I marked all your HW 3&4 answer sheets.
In HW 3&4, 5 students got A+, 7 students got A, 14 students got B, and 16 students got C.
I marked A if you could have solved about 75% of problems or more, and marked B if 50% or more.
I awarded Ino, Kobayashi, Kanazawa, Konishi, Tsukahara as A+ by their excellent performance.
Comment:
Though some people understand the content very well, it seems that this year's average performance is significantly less than last year's.
I strongly recommend you to review all your mistakes thoroughly.
Anyone who has a question should come to my office.
Murooka
In HW 3&4, 5 students got A+, 7 students got A, 14 students got B, and 16 students got C.
I marked A if you could have solved about 75% of problems or more, and marked B if 50% or more.
I awarded Ino, Kobayashi, Kanazawa, Konishi, Tsukahara as A+ by their excellent performance.
Comment:
Though some people understand the content very well, it seems that this year's average performance is significantly less than last year's.
I strongly recommend you to review all your mistakes thoroughly.
Anyone who has a question should come to my office.
Murooka
2009年5月13日水曜日
TA session on 5/15
Next TA session will be held on 5/15, 1st slot.
I will return homework 3&4 in the TA session.
If you can not attend TA session,
please pick up your homework from room 426 mail box
after 5/15.
I will return homework 3&4 in the TA session.
If you can not attend TA session,
please pick up your homework from room 426 mail box
after 5/15.
2009年5月2日土曜日
OH on May 6 and May 13: Murooka
(i) Since May 6 is a holiday, there is no OH.
(ii) On May 13, TA Murooka's OH will be held at 10:20-12:00,
not at 15:00-16:40. Please keep in mind.
Murooka
(ii) On May 13, TA Murooka's OH will be held at 10:20-12:00,
not at 15:00-16:40. Please keep in mind.
Murooka
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