Job description This Ph.D. position is located at the intersection of multiple domains: we plan to employ tools from Game Theory and Control Theory to model resource allocation problems that belong to diverse engineering domains like traffic, energy, robotics, and more. You will have to work towards a dual goal. On the one hand, to further develop the mathematical foundations of the "karma games", by deriving rigorous and principled generalizations to complex resource allocation schemes. On the other hand, you will have to "engineer" these mechanisms and adapt them to practical application domains where they can be impactful and relevant. You will collaborate with experts on these different topics, both in the two laboratories involved in the collaboration and withing the network of partners that form the NCCR Automation. You will publish your results in peer-reviewed journals and present them at international conferences. As member of the NCCR Automation, you will benefit from the many opportunities offered by the NCCR (training, professional development, collaboration with researchers in academia and industry) and are expected to contribute to the NCCR activities when relevant (supervision of students, communication, technology transfer, equal opportunities, outreach). Profile A solid training in the mathematical tools that are needed for the project, including dynamical systems and control systems, is necessary. Knowledge of game theory, multi-agent systems, Markov decision processes, and any of the engineering domains mentioned above are valuable additions. The project will include some numerical experiments, therefore some experience with computational methods and numerical simulations is also useful. Because the project goals lie at the intersection of engineering and economics, we expect the student to be interested in the science of socio-technical systems. As freque