Syllabus Econ

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Columbia Business School Spring 2013 Economic Analysis B8201003 (PhD) Instructor: Paolo Siconolfi, Email: [email protected] TA: Paolo Siconolfi, Email: [email protected] This part of the sequence is entirely devoted to the study of non-cooperative game theory. Books: The textbook is 1) MWG = Mas-Colell, A., M. Whinston and J. Green (hereafter, MWG), Microeconomic Theory. Oxford University Press, New York, 1995. Other useful books are: 2) V = H. Varian, Microeconomic Analysis, 3rd (or later) edition. Norton, New York - London, 1992. 3) Osborne and Rubinstein, A Course in Game Theory. The MIT press, 1991. 4) G = R. Gibbons' Game Theory for Applied Economists Princeton University Press, 1994. Problem Sets There will be weekly problem sets to be submitted to the TA. Problem sets will be given every Monday and will be collected the next Monday. You can form groups of up to three students and submit one copy per group. Final exam There is a final exam.

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game theory

Transcript of Syllabus Econ

Page 1: Syllabus Econ

ColumbiaBusinessSchoolSpring2013

EconomicAnalysisB8201‐003(PhD) Instructor: Paolo Siconolfi, Email: [email protected] TA: Paolo Siconolfi, Email: [email protected] This part of the sequence is entirely devoted to the study of non-cooperative game theory. Books: The textbook is

1) MWG = Mas-Colell, A., M. Whinston and J. Green (hereafter, MWG), Microeconomic Theory. Oxford University Press, New York, 1995.

Other useful books are:

2) V = H. Varian, Microeconomic Analysis, 3rd (or later) edition. Norton, New York -

London, 1992. 3) Osborne and Rubinstein, A Course in Game Theory. The MIT press, 1991. 4) G = R. Gibbons' Game Theory for Applied Economists Princeton University Press, 1994.

Problem Sets

There will be weekly problem sets to be submitted to the TA. Problem sets will be given every Monday and will be collected the next Monday. You can form groups of up to three students and submit one copy per group.  

Final exam There is a final exam.

Page 2: Syllabus Econ

TopicsTopic 1: Extensive and normal form games

Examples of games (MWG Ch. 7C) Extensive form representation ((MWG Ch. 7C) Normal form representation, (MWG Ch. 7.D). Random choices (MWG Ch. 7E)

Topic 2: Simultaneous-Move Games

Dominant strategies (MWG Ch. 8.B) Rationalizability (MWG Ch. 8.C) Nash Equilibrium (MWG Ch. 8.D) Refinements Trembling-Hand Perfection (MWG Ch. 8.F) Applications to Industrial Organization: Bertrand Price Competition, Cournot Quantity

Competition. (MWG Ch. 12,B) Incomplete information : Bayesian Nash Equilibrium (MWG Ch. 8.E)

Topic 3: Dynamic Games and extensive form refinements

Sequential rationality and Subgame perfection (MWG Ch. 9.A, B) Beliefs and Sequential rationality (MWG Ch. 9.C) Forward induction

Topic 4: Repeated games Repeated games (MWG Ch. 12.D and appendix A) Folk theorem (MWG Ch. 12.D and appendix A) Applications: bargaining, oligopolistic cartels (MWG Ch. 9.appendix A).