PhD-student in mathematics within the WASP project Mathematics for AI

Stockholm (Stad) (SE)
den 30 april 2018
den 20 maj 2018
SU FV-1436-18
Alexander Berglund
Offentlig sektor

Ref. No. SU FV-1436-18

at the Department of MathematicsClosing date: 20 May 2018.

Position on a project Combining quantitative and qualitative analysis of multi-player games funded by the Wallenberg Autonomous Systems and Software Program (WASP).

The Department of Mathematics at Stockholm University has with its long tradition of excellent research a prominent place in Scandinavian mathematics. The department consists of two divisions: Mathematics and Mathematical Statistics. Researchers at the Division of Mathematics have competence that ranges over many different areas of mathematics, from algebra, geometry and analysis to mathematical logic.

For further information about PhD studies at the Department of Mathematics, please see: PhD handbook.

Project description
The Knut and Alice Wallenberg Foundation has recently extended its Autonomous Systems, and Software Program (WASP) with an additional one billion Swedish kronor investment in an initiative to boost research in Artificial Intelligence. One of the major directions of that initiative is Mathematics of Artificial Intelligence, which has provided funding for this position on the specific project Combining quantitative and qualitative analysis of multi-player games. The project aims to explore the mathematical aspects of a recently introduced general framework for modelling of intelligent multi-agent systems with both quantitative and qualitative goals and constraints. The main objectives of the project are to develop and apply mathematical methods for analysing dynamic multi-stage games modelled by concurrent game models with payoffs and guards. From purely mathematical perspective this is a study of a special kind of hybrid discrete dynamical systems, generated by multi-agent transition systems where each state is associated with a multi-player strategic form game. The transitions between these games, representing the switching of the play from one game to another, are determined by a transition relation defined in terms of quantitative constraints on the players' accumulated payoffs. This framework generalises substantially both repeated games in normal form and dynamic games in extensive form, traditionally studied in game theory.

This doctoral study project will be supervised by Prof. Valentin Goranko and co-supervised by Prof. Erik Palmgren. The doctoral student will also be a member of the WASP/AI/Math graduate school

Qualification requirements
In order to meet the general entry requirements, the applicant must have completed a second-cycle degree, completed courses equivalent to at least 240 higher education credits, of which 60 credits must be in the second cycle, or have otherwise acquired equivalent knowledge in Sweden or elsewhere.

For information on special eligibility requirements, please see: eligibility and selection

The qualification requirements must, in principle, be met by the deadline for applications.

The selection among the eligible candidates will be based on their capacity to benefit from the training and on their specific knowledge and abilities required by the project. The following criteria will be used to assess this capacity: the earlier studies, grades, quality of theses, references, the written application and, for a smaller group of selected candidates, interviews shortly after the submission deadline.

Admission Regulations for Doctoral Studies at Stockholm University are available at:

Terms of employment 
Only a person who will be or has already been admitted to a third-cycle programme may be appointed to a doctoral studentship.

The term of the initial contract may not exceed one year. The employment may be extended for a maximum of two years at a time. However, the total period of employment may not exceed the equivalent of four years of full-time study.

Doctoral students should primarily devote themselves to their own education, but may engage in teaching, research, and administration corresponding to a maximum of 20 % of a full-time position, which would extend the total duration of the doctoral study to a maximum of five years.

Please note that admission decisions cannot be appealed.

Stockholm University strives to be a workplace free from discrimination and with equal opportunities for all.

For general information, contact the director of PhD studies Alexander Berglund,

For further specific information on this position, please contact Valentin Goranko,

Union representatives
Ingrid Lander (Saco-S), tfn 0708-16 26 64,, Lisbeth Häggberg (Fackförbundet ST och Lärarförbundet), tfn 08-16 20 00 (vx), (SEKO), samt doktorandrepresentant,

Apply for the PhD student position at Stockholm University's recruitment system by clicking the "Apply" button. It is the responsibility of the applicant to ensure that the application is complete in accordance with the instructions in the job advertisement, and that it is submitted before the deadline.

Please include the following information with your application

  • Your contact details and personal data
  • Your highest degree
  • Your language skills
  • Contact details for 2–3 references

Note! Referees should have been contacted in advance by the applicant and will be expected to provide a statement if asked.

and, in addition, please include the following documents

  • Cover letter (at most 2 pages) describing why you are applying and what makes you suitable for doctoral studies.
  • CV – degrees and other completed courses, work experience and a list of degree projects/theses
  • Degree certificates and grades confirming that you meet the general and specific entry requirements (no more than 6 files)
  • Degree projects/theses (no more than 6 files).
  • Any relevant additional documents you would like to submit (at most 3 files).

The instructions for applicants are available at: Instructions – Applicants.

You are welcome to apply!

Stockholm University – our education and research produce results.

Closing date: 20/05/2018

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