Microeconomics 401/501
Assignment 1
due date: January 29, 2015
1. Show that the lexico-graphic preference ordering satises the axioms of completeness, transitivity, reexivity and strict-monotonicity.
2. Draw indierence curves that describe a consumers pre

Econ 401/501
Dipjyoti Majumdar
Econ 401/501: Advanced Microeconomic Theory
FALL 2015
Concordia University
Instructor: Dipjyoti Majumdar
Oce: H-1155-69
Oce Hours: T-1400-1600 Hrs. or by appointment
1
Course Outline
This course is an elective for advanced u

Practice questions on Risk and Uncertainty
These are practice questions on Choice Under Risk and Uncertainty. The relevant chapter in the book is Ch-17 of GR
1. Ms A and Mr L have vNM utility functions v(y) = y and v(y) = y 3/2 ,
respectively. Each of the

Econ 401/501 Homework 2
Department of Economics
Concordia University
Due October 12, 2016
in class
1. Let a consumer have an income of m and face prices p = (p1 , p2 ).
For each of the following preferences, derive the Hicksian and Slutsky
income and subs

Some of you had some problem with the answer to question 3.b in assignment 1. And many have asked me that you could not understand, why
you lost points there. Here is the Clarification. Remember that the utility
function is
u(l, g, t) = mincfw_l2 , g 2 +

Econ 401/501 Homework 2
Department of Economics
Concordia University
October 2016
1. Solution.
(a) The preference is Cobb-Douglas given u(x1 , x2 ) = x1 x1
. As
2
we have shown in class, the Marshallian demand functions are
x1 (p, m) =
m
,
p1
x2 (p, m) =

Econ 401/501 Homework 5
Department of Economics
Concordia University
Due Monday, December 7, 2015
1. Suppose that there are n bidders whose valuations vi s are drawn independently and identically from the distribution F over [0, ]. Describe
and derive the

Econ 401/501 Homework 2
Department of Economics
Concordia University
Due 16th October 2015
BEFORE 5.00 p.m.
You can drop it in my mailbox in the Economics Department, H-1155
1. Let a consumer have an income of m and face prices p = (p1 , p2 ).
For each of

Econ 401/501 Homework 4
Department of Economics
Concordia University
Due November 30, 2015
You can drop your assignments in my mailbox, by 4.00 p.m.,
November 30, 2015.
1. Find the (pure-strategy) Nash equilibria of the following games. Does
any Nash equi

Econ 401/501 Final Examination
Department of Economics
Concordia University December 17, 2014
Time: 1900-2200 Hrs.
Answer all questions. The maximum score is 100 on this exam.
Calculators are allowed. If you cannot completely solve a problem, you can stil

Practice Questions Answer Key
1. (a) In state 1, when the bettor wins, the bettors income becomes
1600, and in state 2, when the bettor loses, the bettors income
becomes 900. Therefore the prospect can be represented as P =
(1/7; 1600, 900). To see which

Practice questions on Risk and Uncertainty
These are practice questions on Choice Under Risk and Uncertainty. The relevant chapter in the book is Ch-17 of GR
1. Ms A and Mr L have vNM utility functions v(y) = y and v(y) = y 3/2 ,
respectively. Each of the

Econ 401/501 Homework 2
Department of Economics
Concordia University
Due 12th February 2015
1. Let a consumer have an income of m and face prices p = (p1 , p2 ).
For each of the following preferences, derive the Hicksian and Slutsky
income and substitutio

Econ 401/501 Homework 2
Department of Economics
Concordia. University
February 2015
1. Solution.
(a) The preference is Cobb-Douglas given u(a:1,a:2) = z‘fzé'“. As
we have shown in class, the Marshallian demand functions are
(1 ~- 00m-
am
a: m = —, (1:2 77

Econ 401/501 Homework 3
Department of Economics
Concordia University
Due March 26, 2015
Provide complete work that leads to each answer. Do the problems in the order given.
1. Consider the following game. There are two players 1 and 2. Player 1
has 4 stra

Econ 401/501 Homework 4
Department of Economics
Concordia University
Due April 2, 2015
1. Find the (pure-strategy) Nash equilibria of the following games. Does
any Nash equilibrium involve weakly dominated strategies?
(a) Hawk and dove.
Hawk
Dove
Hawk
1,

Econ 401/501 Homework 5
Department of Economics
Concordia University
Due April 9, 2015
1. Suppose that there are n bidders whose valuations vi s are drawn independently and identically from the distribution F over [0, ]. Describe
and derive the symmetric

Mid-term Examination
Econ401/501 March5, 2015
Time: 6.00-8.00 p.m.
Answer all questions. You have 120 minutes. The exam is out
of 75
1. (25 points) Consider the utility function u(x1 , x2 ) = ln x1 + x2 , where
x1 is food and x2 is clothing.
(a) (8 points

Econ 401/501 Homework 2
Department of Economics
Concordia University
October 2015
1. Solution.
(a) The preference is Cobb-Douglas given u(x1 , x2 ) = x x1 . As
1 2
we have shown in class, the Marshallian demand functions are
x1 (p, m) =
m
,
p1
x2 (p, m) =