The Institut Louis Bachelier is committed, within the framework of agreements with its clients, to contribute to fundamental exploratory and collaborative research, with the objective that this research draws avenues of scientific work in the perspective of the creation of a new Institute for fundamental and applied research in mathematics oriented towards fields likely to advance mathematical knowledge having an impact in new information and communications technologies (NTIC).
Fundamental research on MFG methods for distributed high density systems, particularly found in the Internet of Things, naturally fits into this context.
In the context of the development of the Internet of Things, and in the perspective of very large local populations, at high density, of connected objects participating in largely specific projects, such as industrial production processes, for example, the need to Theoretical advances in largely decentralized communication and information flow protocols.
In this context, one of the major challenges is now to be able to develop communication protocols in which strategic decisions are taken in a decentralized and local manner by objects connected, and in which the network operator makes relatively few decisions, focusing on actions of piloting and coordination optimized according to adequate and multiple collective objectives, both in the register of network characteristics (quality, volume , stability, ..) and in the register of local and global energy consumption.
Medium-field games are modeling tools perfectly suited to this type of situation: they are very good candidates for providing a conceptual and quantitative framework to advance the theory of this type of communication protocol.
The IEF as a Research Foundation, provides the appropriate and necessary framework for fundamental research with the objective of advancing scientific knowledge, and has the capacity and attractiveness necessary to mobilize advanced academic skills of the highest level. necessary for this fundamental research leading to scientific publications.
The ILB therefore wishes to entrust a research mission to the IEF on “the development of MFG quantitative modeling methodologies for the theory of decentralized communication protocols in the context of the Internet of very high density connected objects”.
“The development of MFG quantitative modeling methodologies for the theory of decentralized communication protocols in the context of the very high density internet of connected objects”; ensure the scientific publication of the results obtained: an article published in a mathematics journal, and send the ILB a research report on the research carried out, the results obtained, the new avenues opened up by this work, the possible consequences and the expected benefits.
The IEF must therefore: