PhD Candidate in Algorithmic Game Theory under Uncertainty
Are you excited about how mathematics can be used to describe real-life scenarios? Are you curious to see how game theory plays a role in this? Then join us!
Job description
Many
real-life problems can be described by a collection of interacting agents
making decisions in an uncertain environment. As an example, consider the
energy grid, where companies and prosumers (who produce and consume energy at
the same time) try to handle the uncertainty coming from renewable sources and
demand imbalances. How can the agents take into account this unpredictability
to optimize their decision-making process?
The most suitable tool to describe these systems is game theory. A game allows
us to model a collection of agents whose “happiness” depends also on the
decisions of the other participants. In particular, stochastic Nash equilibrium
problems allow to describe the behavior of the agents in presence of
uncertainty and to characterize it. One of the main objectives is then to find
distributed optimization algorithms which are guaranteed to converge to an
equilibrium (i.e., the optimum of each agent, given the actions of the other
participants) despite these uncertainties. The goal of this project is to
design such algorithms for stochastic Nash equilibrium problems. To achieve
this goal, you will use tools from monotone operator theory, stochastic
(non-convex) optimization and stochastic programming. The outcome of the
proposal will be a characterization of how uncertainty plays a role in Nash
equilibrium problems, focusing in particular on distributionally robust Nash
equilibrium problems and chance-constraints. Moreover, distributed iterative
schemes will be developed with provable convergence guarantees toward the
equilibrium.
We are looking for a motivated and talented PhD student with a background in
the area of Game Theory and Optimization. The successful candidate will be
responsible for developing state-of-the-art algorithms that can take into
account uncertainties and provide convergence guarantees towards the Nash
equilibrium. Your research task will be to propose and validate such algorithms
and find suitable application domains for these models. Your work will advance
the theoretical analysis as well as potentially have a societal impact via its
possible applications.
Your responsibilities will include:
Requirements
Additionally, we would like it if you have:
Conditions of employment
What
we offer
As Phd Candidate
at Faculty of Science & Engineering, you will be employed by the most
international university in the Netherlands, located in the beautiful city of
Maastricht. In addition, we offer you:
The terms of employment at Maastricht University are largely set out in the collective labor agreement of Dutch Universities. In addition, local provisions specific to UM apply.
Employer
Maastricht University
Why
work at Maastricht University?
At Maastricht University (UM), everything revolves around the future. The
future of our students, as we work to equip them with a solid, broad-based
foundation for the rest of their lives. And the future of society, as we seek
solutions through our research to issues from all around the world. Our six
faculties combined provide a comprehensive package of study programmes and
research.
In our teaching, we use the Problem-Based Learning (PBL) method. Students work
in small groups, looking for solutions to problems themselves. By discussing
issues and working together to draw conclusions, formulate answers and present
them to their peers, students develop essential skills for their future
careers.
With over 22,300 students and more than 5,000 employees from all over the
world, UM is home to a vibrant and inspiring international community.
Are you drawn to an international setting focused on education, science and
scholarship? Are you keen to contribute however your skills and qualities
allow? Our door is open to you! As a young European university, we value your
talent and look forward to creating the future together.
Department of Advanced Computing Sciences
The Department of Advanced Computing Sciences is Maastricht University’s
largest and oldest department broadly covering the fields of artificial
intelligence, data science, computer science, mathematics and robotics.
Over 100 researchers work and study in the Department of Advanced Computing
Sciences, whose roots trace back to 1987. The department’s staff teaches more than
1,200 bachelor’s and master’s students in 4 specialized study programmes in
Data Science, Artificial Intelligence and Computer Science.
Additional information
Curious?
Are you interested in this exciting position but still have questions? Feel
free to contact Barbara Franci, Assistant Professor, via b.fr...@maastrichtuniversity.nl for more
information.
Applying?
Or are you already convinced and ready to become our new PhD Candidate? Apply
now, no later than 19 May, for this position at:
To apply for the position, submit the following documents:
The vacancy is open for internal and external candidates. In case of equal
qualifications, internal candidates will be prioritized.
Maastricht University is committed to promoting and nurturing a diverse and
inclusive community. We believe that diversity in our staff and student
population contributes to the quality of research and education at UM, and
strive to enable this through inclusive policies and innovative projects led by
teams of staff and students. We encourage you to apply for this position.