ECON 351: Game Theory

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1 ECON 351: Game Theory Second semester :: course manual ::..

2 1 Description Game Theory is the study of mathematical models of strategic decision making with interacting decision makers. This theory has become a fundamental tool in the study of social interaction in economics, political science, anthropology, sociology, animal behavior, biology, computer science and other disciplines. In this course we introduce basic concepts and tools of game theory and explore a variety of applications. The course focusses more on concepts and illustrative examples rather than on mathematical theory. 2 Learning outcomes The aim of this course is to introduce you to the world of game theory and its application in a wide range of disciplines. After completing this course, you will be able to: demonstrate an understanding of a variety of game theoretic methods of analysing behaviour in strategic situations; apply that understanding to predict behaviour and evaluate business and policy options; reflect on game theoretical methods from a multi-disciplinary perspective; appreciate the impact that game theory has made, and continues to make, in a variety of contexts. 3 Teaching staff Name: Ronald Peeters ronald.peeters@otago.ac.nz Office: 507 Office hours: Tuesday and Wednesday between 11:30 and 12:30 4 Learning resources The main literature is the textbook J. Harrington (2015). Games, Strategies and Decision Making, Second Edition. Palgrave MacMillan. from which almost 90% will be covered. 1

3 5 Course structure There will be four meetings of 50 minutes every week. take place depends on the goals set for the particular meeting. The style in which the meetings Conceptual knowledge is typically introduced via in-class experiments (on Fridays) and (interactive) lectures (on Tuesdays and Wednesdays), while methodological skills are developed in the tutorials (on Thursdays/Fridays) and via challenging hand-in assignments. Table 1 provides the general structure of the course, with Tables 3 and 4 at the end of this course manual providing a detailed description for which materials to be prepared before each of the meetings. Weeks Topic Chapters Introduction to game theory Strategic form games Extensive form games Games of incomplete information Repeated games Evolutionary game theory Table 1: General structure. 6 Roles and responsibilities Literature. You are expected to have read the literature before the meeting for which this is scheduled. You are strongly advised to check your understanding of this literature via the Check Your Understanding problems in the book (for which you find the solutions in the back) upfront. This ensures that you will be able to get most out of the lectures, and know which questions to ask during the lecture. Exercises. These exercises you are expected to make on your own. Results will be discussed during the tutorials. Some exercises are scheduled at lecture-days. Making these exercises help you asking the right questions during the lecture, but solutions may also be discussed at the end of the lecture if time allows. You are expected to be able to present your answers in class, or otherwise lead a discussion towards jointly obtaining the answer (in which case you are expected to know what you do not know). The final grade is partially based on your performance in class. Hand-in exercises. You are encouraged to discuss hand-in exercises with other students in small groups (maximum size of four) and to hand-in solutions as a group, in which case all 2

4 individuals in a group receive the same grade. For full credit problem sets must be written carefully and clearly. Precise deadlines for handing in will be communicated via Blackboard. 7 Assessment Your final score will be based for 20% on the hand-in exercises, 20% on participation and presentation in class, and for 60% on the final examination. The (rounded) final score is transferred into a final grade in accordance to the Otago grading scheme, presented in Table 2. Grade Score Grade Score A C A C A C B D B E B Table 2: Grading scheme. There are two exceptions to this rule. First, the score for the hand-in exercises is replaced by the score in the final examination in case the latter score exceeds the former (that is, the hand-in assignments only work as a plussage towards the final grade). Second, a score below 40 in the final examination, can result in a grade D at maximum. 3

5 8 Detailed schedule: first half Week Date Time Type Literature Exercises Hand-ins 28 Tue 10 Jul 18 10:00 10:50 Lecture Wed 11 Jul 18 10:00 10:50 Lecture Thu 12 Jul 18 12:00 12:50 Fri 13 Jul 18 09:00 09:50 Tutorial Fri 13 Jul 18 10:00 10:50 Lecture Tue 17 Jul 18 10:00 10:50 Lecture , 2.7 Wed 18 Jul 18 10:00 10:50 Lecture , , 2.15 Thu 19 Jul 18 12:00 12:50 Fri 20 Jul 18 09:00 09:50 Tutorial Fri 20 Jul 18 10:00 10:50 Lecture 30 Tue 24 Jul 18 10:00 10:50 Lecture Wed 25 Jul 18 10:00 10:50 Lecture , 3.5, 3.14, , 3.16 Thu 26 Jul 18 12:00 12:50 Fri 27 Jul 18 09:00 09:50 Tutorial , 4.5, , 4.15, 4.18 Fri 27 Jul 18 10:00 10:50 Lecture Tue 31 Jul 18 10:00 10:50 Lecture Wed 1 Aug 18 10:00 10:50 Lecture , 5.13a, 5.15, , 5.19 Thu 2 Aug 18 12:00 12:50 Fri 3 Aug 18 09:00 09:50 Tutorial 6.1, 6.3, 6.9, , 6.14 Fri 3 Aug 18 10:00 10:50 Lecture 6.App, Tue 7 Aug 18 10:00 10:50 Lecture 7.1, 7.3, 3.8, Wed 8 Aug 18 10:00 10:50 Lecture , Thu 9 Aug 18 12:00 12:50 Fri 10 Aug 18 09:00 09:50 Tutorial 7.5, 7.6, , 7.18 Fri 10 Aug 18 10:00 10:50 Lecture 33 Tue 14 Aug 18 10:00 10:50 Lecture Wed 15 Aug 18 10:00 10:50 Lecture , Thu 16 Aug 18 12:00 12:50 Fri 17 Aug 18 09:00 09:50 Tutorial 8.10, , 8.17 Fri 17 Aug 18 10:00 10:50 Lecture 34 Tue 21 Aug 18 10:00 10:50 Lecture Wed 22 Aug 18 10:00 10:50 Lecture , , 9.3 Thu 23 Aug 18 12:00 12:50 Fri 24 Aug 18 09:00 09:50 Tutorial 9.14, , 9.20 Fri 24 Aug 18 10:00 10:50 Lecture Table 3: First half: weeks

6 9 Detailed schedule: second half Week Date Time Type Literature Exercises Hand-ins 36 Tue 4 Sep 18 10:00 10:50 Lecture Wed 5 Sep 18 10:00 10:50 Lecture 10.6, , , Thu 6 Sep 18 12:00 12:50 Fri 7 Sep 18 09:00 09:50 Tutorial 10.3, Fri 7 Sep 18 10:00 10:50 Lecture [10.7], Tue 11 Sep 18 10:00 10:50 Lecture , 11.3(ex.1) Wed 12 Sep 18 10:00 10:50 Lecture 11.6, 11.3(ex.3), , Thu 13 Sep 18 12:00 12:50 Fri 14 Sep 18 09:00 09:50 Tutorial 11.1, Fri 14 Sep 18 10:00 10:50 Lecture 11.7, [11.3(ex.2,ex.4)] 38 Tue 18 Sep 18 10:00 10:50 Lecture Wed 19 Sep 18 10:00 10:50 Lecture , , 12.5 Thu 20 Sep 18 12:00 12:50 Fri 21 Sep 18 09:00 09:50 Tutorial Fri 21 Sep 18 10:00 10:50 Lecture 39 Tue 25 Sep 18 10:00 10:50 Lecture , Wed 26 Sep 18 10:00 10:50 Lecture , Thu 27 Sep 18 12:00 12:50 Fri 28 Sep 18 09:00 09:50 Tutorial 13.10, Fri 28 Sep 18 10:00 10:50 Lecture Tue 2 Oct 18 10:00 10:50 Lecture Wed 3 Oct 18 10:00 10:50 Lecture , Thu 4 Oct 18 12:00 12:50 Fri 5 Oct 18 09:00 09:50 Tutorial 14.6, , 14.8 Fri 5 Oct 18 10:00 10:50 Lecture 41 Tue 9 Oct 18 10:00 10:50 Lecture Wed 10 Oct 18 10:00 10:50 Lecture , 16.3 Thu 11 Oct 18 12:00 12:50 Fri 12 Oct 18 09:00 09:50 Tutorial 17.1 Fri 12 Oct 18 10:00 10:50 Lecture Table 4: Second half: weeks

THE UNIVERSITY OF SYDNEY Semester 2, Information Sheet for MATH2068/2988 Number Theory and Cryptography

THE UNIVERSITY OF SYDNEY Semester 2, 2017 Information Sheet for MATH2068/2988 Number Theory and Cryptography Websites: It is important that you check the following webpages regularly. Intermediate Mathematics