This is an archived course. A more recent version may be available at ocw.mit.edu.

Syllabus

Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

Recitations: 1 session / week, 1.5 hours / session

Description

This half-semester course discusses decision theory and topics in game theory. We present models of individual decision-making under certainty and uncertainty. Topics include preference orderings, expected utility, risk, stochastic dominance, supermodularity, monotone comparative statics, background risk, game theory, rationalizability, iterated strict dominance multi-stage games, sequential equilibrium, trembling-hand perfection, stability, signaling games, theory of auctions, global games, repeated games, and correlation.

Prerequisites

The prerequisites for this course are 14.121 Microeconomic Theory I and 14.122 Microeconomic Theory II, or permission of the instructor.

Textbooks

Required

Amazon logo [MWG] Mas-Collel, Andreu, Michael D. Whinston, and Jerry R. Green. Microeconomic Theory. New York, NY: Oxford University Press, 1995. ISBN: 9780195073409.

Amazon logo [FT] Fudenberg, Drew, and Jean Tirole. Game Theory. Cambridge, MA: MIT Press, 1991. ISBN: 9780262061414.

Supplementary

Amazon logo Rubinstein, Ariel. Lecture Notes in Microeconomic Theory: The Economic Agent. Princeton, NJ: Princeton University Press, 2006. ISBN: 9780691120317.

Amazon logo Osborne, Martin J., and Ariel Rubinstein. A Course in Game Theory. Cambridge, MA: MIT Press, 1994. ISBN: 9780262650403.

Grading

ACTIVITIES PERCENTAGES
Problem sets (6) 40%
Midterm exam 60%

 

Calendar

SES # TOPICS KEY DATES
1-2

Refresher on preference orderings and utility representation

The expected utility hypothesis

Positive and normative interpretations

Problem set 1 out on Ses #1
3-4

Risk and risk attitudes

Stochastic dominance

Applications of expected utility in insurance and finance

Problem set 1 due and problem set 2 out on Ses #3
5

Supermodularity (supermodularity, log-supermodularity, and quasi-supermodularity) and monotone comparative statics

Background risk; calibrating risk aversion

Problem set 2 due and problem set 3 out
6 Beyond expected utility  
7 Refresher on game theory; rationalizability and iterated strict dominance multi-stage games; iterated conditional dominance in bargaining Problem set 4 out
8 Equilibrium refinements: sequential equilibrium, trembling-hand perfection, and stability Problem set 3 due
9 Signaling games Problem set 4 due and problem set 5 out
10 Positive theory of auctions  
11 Global games Problem set 5 due one day after Ses #11 and problem set 6 out
12 Repeated games with perfect monitoring  
13

On the power of correlation

Review

Problem set 6 due and midterm exam taken one day after Ses #13