Game Theory (EC 452)

 

 

Spring 2008

 

Syllabus

 

Required Books (I suggest you buy them from the publisher, on Amazon, or any other site you like.  They will not be stocked in our bookstore).  You will need to read both and we will use both extensively.

Joel Watson, 2007, Strategy: An Introduction to Game Theory. SECOND Edition. From Publisher at 20% discount and free shipping.

 

James Miller, 2003, Game Theory at Work: How to Use Game Theory to Outthink and Outmaneuver Your Competition, Mc Graw Hill

Suggested Reading

Rasmusen Textbook Chapters on Rasmusen's Site

Readings and Links

Joel Watson's (author of our text) website

History of Game Theory from Paul Walker's site

EconLinks

Practice Problems:

 

2x2 Practice Normal Form Game Generator (Excel):

    You can enter payoffs and this tells you the Pure Nash, Mixed Nash, and if there are any strictly dominant strategies.  Great to create lots of games and practice solving for mixed Nash, etc.

 

 

 

Topics

Additional Material
(Plus downloadable problem guides)

Practice Problems From WATSON Text (all are possible for exams)

Concepts from WATSON
INTRODUCTION
Chap 1 - Introduction Miller Chapter 1 and Chap 2 Ex: 1, 2, 3, 4, 5, 6, 7, 8 Game, 3 Major Tensions
Chap 2 - Extensive Form Miller Chap 2 - Threats, Promises, and Sequential Games Ex: 1, 2, 3, 4, 5, 6, 7, 8 Information set, Extensive Form Game
STATIC ANALYSIS
Chap 3 - Strategies and the Normal Form Miller Chap 3 - The Dangers of Price Competition
Miller Chap 4 - Simultaneous  Games
Ex: 1, 2, 3, 4, 5, 6, 7 Strategy, Normal Form Game
Chap 4 - Beliefs, Mixed Strategies, and Expected Payoffs Miller Chap 3 - Chap 4 Ex: 1, 2, 3, 4, 5 Belief, Mixed Strategy,
Chap 5 - General Assumptions and Methodology Miller Chap 3 - Chap 4
Miller Chap 5 - Massive Coordination Games
  Rationality, Common Knowledge
Chap 6 - Dominance and Best Response Miller Chap 3 , Chap 4 & Chap 5 Guided Ex. (pp. 62 - 63)
Ex: 1, 2, 3, 4, 5, 6, 7, 8
Dominated Strategy, Efficiency, Best Response
Chap 7 - Rationalizability and Iterated Dominance Miller Chap 3 , Chap 4 & Chap 5 Guided Ex. (pp. 72 - 73)

Ex: 1, 2, 3, 4, 5, 6

Iterated Dominance,  Rationalizable Strategies, Strategic Uncertainty, Coordination Problem, Various Solutions to Coord Prob, Focal Points
Chap 8 - Location and Partnership Miller Chap 3 , Chap 4 & Chap 5 Ex. 1 & 2  
Chap 9 - Nash Equilibrium Miller Chap 3 , Chap 4 & Chap 5 and
Miller Chapter 6 - Nash Equilibrium
Miller Chapter  7 - Prisoner's Dilemma
Guided Ex. (pp. 102 - 103)

Ex: 1 (a & b), 2, 3, 4, 5, 7, 8, 11,

Nash Equilibrium
Chap 10 - Oligopoly, Tariffs, Crime, and Voting Skipped    
Chap 11 - Mixed Strategy Nash Equilibrium   Guided Ex. (pp. 128 - 129)
Ex: 1, 2, 3, 4, 5, 6, 7, 10, 11
Mixed-Strategy Nash Equilibrium
Chap 12 - Strictly Competitive Games and Security Strategies     Two-player, strictly competitive game, Security strategy
Chap 13 - Contract, Law, and Enforcement in Static Settings   Guided Ex. (pp. 151 - 152)

Ex: 1 & 2

Technology of the relationship, Induced Game, Full verifiability, Limited Verifiabiliy, Breach remedy, Expectation damages, Reliance damages, Restitution damages
EXAM ONE      
DYNAMIC ANALYSIS
Chap 14 - Details of the Extensive Form   Guided Ex + Ex 1 - 5  
Chap 15 - Backward Induction and Subgame Perfection   Guided Ex + Ex 1 - 8  
Chap 16 - Topics in Industrial Organization   skip for now  
INFORMATION
Chap 24 - Random Events and Incomplete Information   Guided Ex + Ex 1 - 4  
Chap 25 - Risk and Incentives in Contracting Miller Chap 13

Additional problems

Guided Ex + Ex 1 - 3  
Chap 26 - Bayesian Nash Equilibrium and Rationalizability      
Chap 27 - Lemons, Auctions, and Information Aggregation      
Chap 28 - Perfect Bayesian Equilibrium   Guided Ex + Ex 1 - 7  
Chap 29 - Job Market Signaling and Reputation   Ex. 1 - 3  
EXAM TWO