- Summer term 2020
- Lecturer: Prof. Dr. Michael Hintermüller
- Course assistant: Dr. Olivier Huber

**Due to the current Covid-19 outbreak, this course will take place online.**- The lectures and exercise sessions will take on the Zoom platform. Please ensure that you have a working setup for the connecting to a Zoom meeting. This page contains some information pertaining to Zoom and HU-Berlin
- Before every lecture of exercise session, enrolled students with HU email addresses will receive the relevant login information on their respective email addresses

- The lectures will take place on Thursday, 11:00 to 13:00.
- The exercise sessions will take place every other week, starting April 30th 2020

In this class, we will study MPEC, mostly from a nonsmooth perspective. A tentative outline of the course is as follows

- Introduction of MPEC and examples from applications
- Basic results from set-valued and variational analysis
- Introduction to multivalued mapping
- Lipschitzian properties
- Generalized derivatives

- Generalized Equations
- Existence and uniqueness
- Stability of solutions under perturbations
- Differentiation of solution mapping

- Optimality conditions for MPEC

The following references are accessible from the HU network.

*Nonsmooth Approach to Optimization Problems with Equilibrium Constraints*, Outrata J., Kočvara M., Zowe J., 1998.*Mathematical Programs with Equilibrium Constraints*, Luo Z.-Q., Pang J.-S., Ralph D., 1996.

- Prof. Dr. Michael Hintermüller, hint[at]math.hu-berlin.de
- Dr. Olivier Huber, olivier.huber[at]hu-berlin.de

- Prof. Dr. Michael Hintermüller webpage
- Dr. Olivier Huber webpage
- Department of Mathematics
- Mathematics students' council

- 30 April 2020
- 14 Mai 2020
- 28 Mai 2020
- 11 June 2020
- 25 June 2020
- 16 July 2020

- Exercise sheet 1
- Exercise sheet 2
- Exercise sheet 3
- Exercise sheet 4
- Exercise sheet 5
- Exercise sheet 6

- Homework exercises are to be solved ahead of time, in writing, and communicated via email to the course assistant.
- The deadline for submitting the homework is
**36h**before the start of the exercise session. - The submission must be in one of the following formats:
- Legible scan or photograph of hand-written solutions. Those will have to be assembled in a single PDF document, and have the proper orientation. Improper submissions will not be graded. If it is not clear that the participant can achieve this result, the second format is recommended.
- Typeset solutions in the PDF form. The use of the TeX/LaTeX/ConteXt typesetting system is highly encouraged.

- During the week before the exercise session, course participants are expected to fill a poll with the exercises to present.
- The preparation consists of producing a pdf document (legible scan/photograph of hand-written notes or electronic notes)
- During the session, the presenter will be chosen from the poll list. The course participant will present his solution by sharing his screen and explaining orally the steps in the solution.

- The first exam took place on Friday 21st of August 2020 from 9.30 to 12.30
- The second exam will take place on Friday 16th of October 2020 from 9.30 to 12.30
- The following instructions are valid for both exams:
- The students have 30 mins of time (that is until 13.00) to upload their solution to the corresponding section of the MoodleKurs
- The solutions must be provided in handwritten form, with full name, matricule number, and signature on each of them
- The students are required to only use the material provided during the lecture, and no other external material.