Syllabus

Example syllabus only – exact content subject to change. Please see your instructor’s syllabus for the current term for your specific course’s guidelines

Instructor: Dr. Xiaoxue Sherry Gao

Email: @email

Office Hour: By Email Appointment

Office: 217B Stockbridge Hall (Zoom 91880837108)

Class Time: Tue/Thu 4:00pm - 5:15pm

Classroom: Stockbridge Hall 301

Course Objectives and Requirements

This is a continuation of Applied Microeconomic Theory I (Res Econ 711). We will cover the follow- ing topics: general equilibrium analysis, social choice and welfare economics, introduction to non- cooperative game theory and information economics. Prerequisite for this course is familiarity with the content covered in Res Econ 711.

Regular attendance is expected and be prepared to discuss the assigned readings.


Course Website

Canvas. I will post class slides, problem sets, supplemental materials, grades, etc. in Moodle. It is important that you check the website frequently.


Textbook

Jehle, Geoffrey A and Reny, Philip J. 2011. Advanced Microeconomic Theory (3rd Edition).

Gibbons, Robert. Game theory for applied economists. Princeton University Press, 1992.

Supplemental materials will be posted on Moodle, mainly drawn from papers relevant to each topic and the following textbooks:

Varian, Hal R. "Microeconomic analysis." (1992).

Mas-Colell, Andreu, Michael Dennis Whinston, and Jerry R. Green. Microeconomic theory. Vol. 1. New York: Oxford university press, 1995.

Osborne, Martin J., and Ariel Rubinstein. A course in game theory. MIT press, 1994.


Evaluation

Grading will be based on problem sets (15%), Midterm exam 1 (25%), Midterm exam 2 (25%), Final exam (35%).


Course Policies

Please check the exam dates and keep in mind the deadlines, and please plan ahead to avoid any conflicts. No late assignments will be accepted. No make-up exams will be granted. Ex- ceptions will only be made when the student has the university-approved reasons for not taking the exams as scheduled and provides all the written documents under such circumstances. A letter grade of the following will be assigned on the basis of your cumulative score.

FDD+C-CC+B-BB+A-A
<6060636770737780838790

Classroom Decorum

Please show respect towards me and your fellow students, and let’s work together to have a classroom that is conducive to learning by following the following rules:

  1. TURN OFF YOUR CELL PHONE! If you are on call for work, please let me know in advance and put your phone on silent. No texting during class – it is not as quiet as you think.
  2. You are welcome to use computers to take notes. However, if you are caught doing other stuff during class time, then you will be asked to turn off your computer.
  3. No negative language, please (no racist, sexist, homophobic remarks, or in other ways that are insensitive to your fellow classmates).
  4. Show up on time, and don’t leave early. Wait for the class to be formally dismissed before you start to pack up your things or get up to leave. It is distracting to me and your fellow classmates.
  5. Avoid other unnecessary distractions: private conversations, reading newspapers, working on as- signments for other classes, eating, sleeping, etc.
  6. If you are having trouble with something, please email or come see me.
  7. When in class, participate and have FUN! Economics is an awesome field, and we are going to be learning some very powerful tools this semester.

Disability Statement

The University of Massachusetts Amherst is committed to making reasonable, effective and appropriate accommodations to meet the needs of students with disabilities and help create a barrier-free campus. If you are in need of accommodation for a documented disability, regis- ter with Disability Services to have an accommodation letter sent to your faculty. It is your responsi- bility to initiate these services and to communicate with faculty ahead of time to manage accommo- dations in a timely manner. For more information, consult the Disability Services website at http://www.umass.edu/disability/.


Academic Honesty Policy Statement

Since the integrity of the academic enterprise of any institution of higher education requires honesty in scholarship and research, academic honesty is required of all students at the University of Massachusetts Amherst.

Academic dishonesty is prohibited in all programs of the University. Academic dishonesty includes but is not limited to: cheating, fabrication, plagiarism, and facilitating dishonesty. Appropriate sanc- tions may be imposed on any student who has committed an act of academic dishonesty. Instructors should take reasonable steps to address academic misconduct. Any person who has reason to believe that a student has committed academic dishonesty should bring such information to the attention of the appropriate course instructor as soon as possible. Instances of academic dishonesty not related to a specific course should be brought to the attention of the appropriate department Head or Chair. The procedures outlined below are intended to provide an efficient and orderly process by which action may be taken if it appears that academic dishonesty has occurred and by which students may appeal such actions.

Since students are expected to be familiar with this policy and the commonly accepted standards of academic integrity, ignorance of such standards is not normally sufficient evidence of lack of intent. For more information about what constitutes academic dishonesty, please see the Dean of Students’ website: http://umass.edu/dean_students/codeofconduct/acadhonesty/.


Topics and Reading Assignments:

  • Game Theory and Information Economics: [Gibbons] [JR] Chapters 7 and 8
    • Static games of complete information
      • [Gibbons] Chapter 1, [JR] Chapters 7
      • Nash Equilibrium
      • Mixed Strategies
    • Dynamic games of complete information
      • [Gibbons] Chapter 2, [JR] Chapters 8
      • Subgame Perfect Nash Equilibrium
      • Repeated Games
    • Static games of incomplete information
      • [Gibbons] Chapter 3, [JR] Chapters 7
      • Bayesian Nash Equilibrium
      • The Revelation Principle
    • Dynamic games of incomplete information
      • [Gibbons] Chapter 4, [JR] Chapters 7
      • Perfect Bayesian Equilibrium
      • Signaling and screening games
  • General Equilibrium Analysis: [JR] Chapter 5
    • Exchange economy
    • Walras: competitive equilibrium
    • Edgeworth: core
    • Efficiency and welfare theorems
    • [Optional] Uniqueness and stability of competitive equilibrium
    • [Optional] Time and uncertainty
  • Social Choice and Welfare: [JR] Chapter 6
    • Social preference and Arrow’s Impossibility Theorem
    • Cardinal social welfare functions

Course Schedule

The course schedule provides a tentative timeline subject to changes that will be made throughout the semester. In addition, the course schedule prescribes reading assignments for each week’s classes under the “Chapter” column.

DateChapterTopicsDetailsAssignments
Thu 1/29[JR] 7.1, 7.2.1; [Gibbons] Ch. 1Intro to Game Theory; Strategic form games 1Types of non-cooperative game games; Strategic dominance; Pure Strategy Nash equilibrium 
Tue 2/3[JR] 7.2.2; [Gibbons] Ch. 1Strategic form games 2Nash equilibrium in mixed strategy spaces; Applications – Cournot Duopoly, Bertrand Duopoly 
Thu 2/5[JR] 7.2.2; [Gibbons] Ch. 1Strategic form games 3Applications – Tragedy of Commons; Discussion 
Tue 2/10 Catch up / Exercise session  
Thu 2/12[JR] 7.3.1–7.3.5; [Gibbons] Ch. 2Extensive form games 1Elements of extensive form games; Strategies in extensive form gamesPS1 Due (Strategic form games)
Tue 2/17[JR] 7.3.1–7.3.5; [Gibbons] Ch. 2Extensive form games 2Subgame Perfect Nash Equilibrium; Applications – Stackelberg Duopoly 
Tue 2/24 Catch up / Exercise session  
Thu 2/26[JR] 7.3.1–7.3.5; [Gibbons] Ch. 2Extensive form games 3Finitely repeated gamesPS2 Due (Extensive form games 1 and 2)
Tue 3/3[JR] 7.3.1–7.3.5; [Gibbons] Ch. 2Extensive form games 4Infinitely repeated games; the folk theorem 
Thu 3/5 Catch up / Exercise session  
Tue 3/10 Midterm 1Strategic form game, Extensive form games 1–2; [JR] 7.1, 7.2 (excluding 7.2.3), 7.3 (excluding 7.3.6); [Gibbons] Ch. 1, Ch. 2 (excluding 2.3) 
Thu 3/12[JR] 7.2.3; [Gibbons] 3.1Incomplete Information 1Static games of incomplete information; Bayesian Nash EquilibriumPS3 Due (Repeated Games)
Tue 3/24[JR] 7.2.3; [Gibbons] 3.2Incomplete Information 1Applications – Cournot duopoly with asymmetric information; first price sealed bid auction 
Thu 3/26[JR] 7.3.6; [Gibbons] 4.1Incomplete Information 2Dynamic games of incomplete information; Perfect Bayesian Equilibrium 
Tue 3/31[JR] 7.3.6; [Gibbons] 4.2.AIncomplete Information 2Perfect Bayesian Equilibrium in signaling games 
Thu 4/2 Catch up / Exercise session  
Tue 4/7[JR] 5.1; [F] 2The Barter Exchange EconomyIntro to General Equilibrium; Equilibrium and Efficiency in Edgeworth BoxPS4 Due (Incomplete Information)
Thu 4/9[JR] 5.1The Barter Exchange EconomyGeneral Exchange Economy; Pareto Efficiency, Coalitions and the Core 
Tue 4/14 Midterm 2repeated games, incomplete information; [JR] 7.2.3, 7.3.6; [Gibbons] Ch. 2.3, Ch. 3, Ch. 4 
Thu 4/16[JR] 5.2Competitive Markets without ProductionAssumptions; Demand; Definition of Walrasion Equilibrium; How to solve for WE 
Tue 4/21[JR] 5.2Competitive Markets without ProductionWalra’s Law; WE in Edgeworth BoxPS5 Due (Exchange Economy; Solving for WE)
Thu 4/23[JR] 5.2; [V] 17.5Competitive Markets without ProductionExistence of WE, Welfare Theorems 
Tue 4/28[JR] 6.1, 6.2Competitive Markets without ProductionArrow’s Impossibility Theorem 
Thu 4/30 Catch up / Exercise session  
Tue 5/5[JR] 6.3Social Choice and WelfareSocial Welfare FunctionPS6 Due (Existence of WE and Welfare Theorems)
Thu 5/7[V] 17.9, 22.2Social Choice and WelfareApplying SWF 
TBD Final ExamGeneral equilibrium [JR] 5.1, 5.2, 5.3, 5.4, 6.1, 6.2, 6.3; [V] 17.5, 17.9, 22.2PS7 Due (Social Choice and Welfare)