Fall 2009 Econ 810: Microeconomic Theory
Solutions to Assignment 5
1.
Strategies
A
B
C
D
E
5, 2
0, 3
0, 4
1, 1
F
0, 0
4, 2
0, 3
1, 2
G
0, 0
0, 5
4, 2
1, 3
Step 1:
for the row player, a mixture of stra
Fall 2009 Econ 810: Microeconomic Theory
Solutions to Assignment 4
1. (i) Deriving the Lagrangian etc., the Marshallian demands for A are:
xAi (p; m) =
m1
1
2 /[ p + p ]
pi
1
2
while that for B (using
Econ 810: Microeconomic Theory
Solutions to Assignment 2
1. From Assignment 1, individuals lifetime utility if he saves is given
the
I +s(1+rs )
1
by: 1/4 1/4 [ I s +
].
(1+i)
2
(1+ 2 (1+i)]
Optimizi
Econ 810: Microeconomic Theory
Solutions to Assignment 3
1. (i) Here, F (x) = 0 for x < 1, F (x) = x+1 for x [1, 1] and
2
F (x) = 1 for x > 1.
G(x) = 0 for x < 0, G(x) = x for x [0, 2] and G(x) = 1 fo
1
Fall 2009 Econ 810 Midterm Examination
Tuesday, 27 th October 2009, 1:00 - 2:15 p.m. Total points: 50
Answer all questions.
1. [10 pts] Dene a consumers indirect utility function, v (p; m), and show
Econ 810: Microeconomic Theory
Assignment 2
Due Date: Thursday, 15th October 2009, in class.
1. In Assignment 1, Q.4, you considered the saving and borrowing decisions of an individual who lives for t
Econ 810: Microeconomic Theory
Assignment 1
Due Date: Thursday, 1 st October 2009, in class.
1. Mr. Smiths preferences over goods 1, 2, ., n are represented by the
utility function:
u(x1 , x2 , ., xn
Econ 810: Microeconomic Theory
Assignment 2
Due Date: Thursday, 9th October 2014, in class.
1. Take a consumer with the following indirect utility function (over 2
goods): (p; ) = 2(1 2 )
+
Suppose t
Econ 810: Microeconomic Theory
Assignment 1
Due Date: Thursday, 25 September 2014, in class.
1. Mr. Smiths preferences over goods 1, 2 are represented by the
utility function:
(1 2 ) =
1 2
1 2
0
0 1
Econ 810: Microeconomic Theory
Assignment 3
Not required to be handed in.
1. Consider a competitive market for good 1 in which there are 100 consumers, all with the utility function over goods 1 and 2
Econ 810: Microeconomic Theory
Assignment 5
Due Date: Thursday, 27th November 2014, in class.
1. Consider the following model of bidding for a government project with incomplete information. There are
Fall 2009 Econ 810: Microeconomic Theory
Assignment 5
Due Date: Tuesday, 1 st December 2009, in class.
1. Consider the following simultaneous move game. Look for strategies that
are strictly dominated
Fall 2009 Econ 810: Microeconomic Theory
Assignment 4
Due Date: Friday, 13th November 2009 (by 3 p.m.).
1. Consider the following two goods and two consumers (2 X 2) exchange
economy. Preferences and
1
Fall 2010 Econ 810 Midterm Examination
Tuesday, 26 th October 2010, 11:30 - 12:50 p.m. Total points: 50
Answer all questions.
1. [12 pts] Consider a competitive rm that uses n inputs to produce a si
1
Econ 810 Final Examination
Monday, 13 December 2010, 9:00 a.m. - 12:00 noon. Total points: 100
Answer ALL questions. Be sure to explain/justify all your steps. You will be wellrewarded for completen
1
Econ 810 Final Examination
Wednesday, 7 December 2011, 9:00 a.m. - 12:00 noon. Total points: 100
Answer ALL questions. Be sure to explain/justify all your steps. You will be wellrewarded for complet
1
Fall 2011 Econ 810 Midterm Examination
Wednesday, 26 October 2011, 1:00 - 2:20 p.m. Total points: 50
Answer all questions. Some hints are given at the bottom of the exam.
1. [22 pts] Lee has the fol
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Econ 810: Microeconomic Theory
Assignment 6
Not required to hand in
1. Consider the following simultaneous-move 3 X 3 game between players
and . The rst element in any square represents the payo to
Fall 2014 Econ 810: Microeconomic Theory
Assignment 4
Due Date: Thursday, 13th November 2014, in class
1. [GE with intertemporal considerations] Consider an exchange
economy with three consumers, and
1
Econ 810 Final Examination
Wednesday, 10 th December 2008, 9:00 a.m. - 12:00 noon. Total points: 100
Answer ALL questions. Be sure to explain/justify all your steps.
1. [10 pts] A consumer who cares
1
Fall 2008 Econ 810 Midterm Examination
Monday, 20 th October 2008, 1:00 - 2:15 p.m. Total points: 50
Answer all questions.
1. [14 pts]
(i) Show that a consumers expenditure function, e(p; u0 ) is co