Economics 501b:
Microeconomics
Spring 2008
9:00-10:20 T TH, Room A002, 77 Prospect Street
Discussion
section 3-4:30 TH, Room B8, 28 Hillhouse
Part 1: Games of
Complete Information
Larry Samuelson
30 Hillhouse Avenue, #26
432-6737
Email
Office hours 10:30-11:30 T TH
Part 2: Games of
Incomplete Information and Information Economics
Dirk
Bergemann
30 Hillhouse Avenue, #24
432-3592
Email
Office hours 1:30-3:00 T
Teaching assistants:
Gharad Bryan (Email),
office hours 1-2:30 Tuesday.
Richard van Weeldon (Email),
office hours 4-5:30 Wednesday.
Topic: This
is the second part in the two course sequence in Microeconomic
Theory. The first course covered the basic tools of
microeconomic analysis. The second course provides an
introduction to game theory and information economics.
Game theory is the analysis of strategic interaction
among individual agents. Game theory seeks to provide models
of conflict and cooperation that are relevant in a large class of
situations basic to almost all social sciences. It offers
insight into economic, political or social situations in which
individuals have different goals and preferences. The basic
assumptions of game theory are that decision-makers pursue well-defined
objectives (they are rational) and take into
account their knowledge or expectations of other decision-makers'
behavior (they are strategic).
The first half of this course will introduce basic
notions such as action, strategy and equilibrium for complete
information environments. The second half extends the theory
to cover situations where different agents have different
information. This allows game theory to address situations
where in which agents have private information that is not readily
accessible to all other agents. The resulting asymmetry in
information is pervasive in economic relationships: Customers
know more about their tastes than firms, firms know more about their
own costs than their competitors. As private information
changes the nature of the economic relationships, new tools are
required to analyze exchange and contracting environments. The
basic adverse selection model is introduced first as the relationship
between an informed and an uninformed agent. The general
theory of mechanism design analyzes the problem of how an uniformed
player (principal or designer) can induce privately informed agents to
reveal their information. This will leads us, inter alia, to
the theory of auctions and related optimal trading
problems. In contrast, in signaling models the informed agent
attempts to credible convey its information to the uninformed player or
the market. Finally, optimal contracts are analyzed in
environment where the private information only arises after
contracting, which is referred to as the moral hazard problem.
Requirements:
Grades will be based on:
25%: Mid-term
exam: Thursday, February 28
(in class)
25%: Homework
50%: Final exam: Date
to be announced.
Required texts
(available at Labyrinth Bookstore):
- Andreu Mas-Collel, Michael D. Whinston and Jerry
Green, Microeconomic Theory (Oxford University
Press, 1995).
- Bernard Salanie, The Economics of Contracts
(MIT Press, 2005).
Recommended texts (available
at Labyrinth Bookstore):
- Patrick Bolton and Matthias Dewatripont, Contract
Theory (MIT Press, 2005)
- Drew Fudenberg and Jean Tirole, Game Theory (MIT
Press, 1991)
- Robert Gibbons, Game Theory for Applied
Economists (Princeton University Press, 1992)
Other useful sources:
- Ken Binmore, Essays on the Foundations of
Game Theory (Basil Blackwell, 1990)
- Ken Binmore, Playing for Real (Oxford
University Press, 2007)
- David M. Kreps, A Course in Microeconomic
Theory (Princeton University Press, 1990)
- David M. Kreps, Game Theory and Economic
Modelling (Oxford University Press, 1990)
- Jean-Jacques Laffont and David Martimort, The
Theory of Incentives (Princeton University Press, 1990)
- Jean-Jacques Laffont and Jean Tirole, A
Theory of Incentives in Procurement and Regulation (MIT
Press, 1993)
- George J. Mailath and Larry Samuelson, Repeated
Games and Reputations (Oxford University Press, 2006)
- Roger G. Myerson, Game Theory (Harvard
University Press, 1991)
- Martin J. Osborne and Ariel Rubinstein, Bargaining
and Markets (Academic Press, 1990)\
- Martin J. Osborne and Ariel Rubinstein, A
Course in Game Theory (MIT Press, 1994)
- Klaus Ritzberger, Foundations of
Non-Cooperative Game Theory (Oxford University Press, 2002)
- Jean Tirole, The Theory of Industrial
Organization (MIT Press, 1988)
Schedule (Homework
is due in class on Thursday, one week after being assigned):
- Tuesday, January 15: Normal
form games (MWG chapters 7-8; Gibbons chapter 1, FT chapters 1-2)
- Thursday, January 17: Dominance
Homework
1
Answer
1
- Tuesday, January 22: Nash
equilibrium
- Thursday, January 24: Equilibrium
refinements
Homework
2
Answer
2
- Tuesday, January 29: Extensive
form games (MWG chapter 9, Gibbons chapter 2, FT chapters 3-4)
- Thursday, January 31: Equilibria
in extensive form games
Homework
3
Answer
3
- Tuesday, February 5: Extensive-form
equilibrium refinements
- Thursday, February 7: Extensive-form
equilibrium refinements
Homework
4
Answer
4
- Tuesday, February 12: Repeated
games: perfect monitoring (FT chapter 5, Gibbons chapter 2.3)
- Thursday, February 14: Repeated
games: Folk theorems
Homework
5
Answer
5 and Automaton
- Tuesday, February 19: Repeated
games: Folk theorems
- Thursday, February 21: Repeated
games: Imperfect monitoring
Homework
6
Answer
6
- Tuesday, February 26: Generating
equilibria
- Friday, February 29: MidTerm Exam, 9-11 am, Davies Auditorium
One place to start studying
for this is the midterm
from last year. With the exception of question 4, which you
may ignore, this exam
provides some good practice, as does this exam. A
practice problem on imperfect monitoring is here.
The following lecture notes cover the material presented in the lectures.
- Tuesday, March 4: Introduction
into Information Economics
Akerlof (1970)
- Thursday, March 6: Bayesian
Nash Equilibrium
Homework 7
Answer 7
- Tuesday, March 25: Purification /
Pure Strategy Bayes Nash Equilibrium
Harsanyi (1967)
Morris (2000)
- Thursday, March 27: First
Price Auctions
Homework 8
Answer 8
- Tuesday, April 1: Job Market Signalling
Spence (1973)
- Thursday, April 3: Signalling Games
Homework 9
Answer 9
- Tuesday, April 8: Refinements and Extensive Form
Cho and Kreps (1987)
Kreps and Wilson (1982)
- Thursday, April 10: Mechanism Design, Vickrey Auction
The Nobel Prize: Background
Homework 10
Answer 10
- Tuesday, April 15: Adverse Selection
Rothschild and Stiglitz (1972)
- Thursday, April 17: Incentive Compatibility and Mirrlees Characterization
Homework 11
Answer 11
Mirrlees (1971)
- Tuesday, April 22: Revenue Equivalence, Revenue Maximizing Mechanisms
Stole (1999)
- Thursday, April 24: Moral Hazard
Homework 12
Answer 12
Holmstrom (1979)
Holmstrom and Milgrom (1991)
Final Exam 2007/08
Final Exam 2007/08 Solution
Final Exam 2006/07
Final Exam 2006/07 Solution
Final Exam 2005/06
Final Exam 2005/06 Solution
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