ECON 713: Microeconomic Analysis II Professor: James Bono Class Location: Ward 301 Class Meeting Time: W 8:10-10:40 Term: Spring 2008 Website: Please See Blackboard Site Office Location: Roper 215 Office Hours: W 5-8pm and by appointment (tentative) Email: bono@american.edu Office Phone: (202) 885-2718 Required Text: Microeconomic Theory, Mas-Colell, Whinston and Green, Oxford University Press, 1995. ISBN 0-19-510268-1. Suggested Reference Text: A Course in Game Theory, Osborne and Rubinstein, MIT Press, 1994. Grading Criteria: • Problems (assigned weekly, 9 total) 1% each • Midterm 1 (Feb. 11) 30% • Midterm 2 (Mar. 25) 30% • Final (May 6) 31% Overview and Objectives: The primary purpose of this course is to familiarize PhD students with the standard theory used by academic economists. The secondary purpose of this course is to help PhD students develop theoretical models for future dissertation research. Email: Class updates will be sent to the course mailing list, so students are required to check the email address that is registered with my.american.edu. Problems: After each lecture that is not followed by an exam, I will assign several problems. You are encouraged to work in groups. However, if you 1 do, each person must submit his or her own problem and write the names of those you worked with on your paper. Problems are due at the beginning of the class after they were assigned. No late problems will be accepted. At the end of the course, I will duplicate your highest score to replace your lowest. Exams: No make-up exams will be given. In the case of a well-documented family or medical emergency, the student will scale the other exam grades proportionately. Cheating and Plagiarism: Written work that you hand in is assumed to be original unless your source material is documented appropriately. Using the ideas or words of another person, even a peer, or a web site, as if it were your own, is plagiarism. Cheating and plagiarism are serious academic offenses. Students should read the Academic Integrity Code section of the Student Handbook. Tentative Outline 1. Game Theory (a) Simultaneous Move Games - Week 1 i. Definition ii. Nash Equilibrium A. Dominance B. Rationalizability C. Best Responses iii. Mixed Strategy NE A. Existence Theorem B. Properties (b) Dynamic Games with Complete Information - Week 2 i. ii. iii. iv. Bargaining Games Subgame Perfect NE Backward Induction Strategic Form Representation 2 (c) Repeated Games & Static Games of Incomplete Information Week 3 i. Repeated Games ii. Bayesian Games (d) Dynamic Games of Incomplete Information & Mechanism Design - Week 4 i. Perfect Bayesian Equilibrium ii. Mechanism Design A. Implementation B. Revelation Principle C. Auctions D. Principal-Agent Model (e) Behavioral Game Theory - Weeks 6 & 7 i. Level-K thinking ii. Fairness Equilibrium iii. Quantal Response Equilibrium (f) Evolutionary Game Theory - Week 8 i. ii. iii. iv. Replicator Dynamic Monomorphic Steady States Polymorphic Steady States Learning (g) Coalitional Game Theory - Week 9 i. ii. iii. iv. v. vi. Core Kernel Bargaining Set Nucleolus Value Nash Bargaining 2. Social Choice Theory - Week 11 (a) Condorcet (b) Arrows Theorem 3 (c) Sen’s Theorem (d) Geometry of Voting 3. General Equilibrium - Week 12 (a) Existence (b) Edgeworth Box 4. Risk and Uncertainty (Finance) - Weeks 13 & 14? (a) Arbitrage (b) Portfolio Choice (c) Black Scholes (d) Mandelbrot 4