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 consensus algorithms, particularly found in blockchains, naturally fits into this context.
In the context of the recent and rapid development of new blockchain-type technologies, it appears that distributed consensus protocols are intended to be widely used. By allowing a set of economic actors to be able to carry out digital transactions without having to resort to a trusted third party, they have the potential to interfere deeply in economic activity.
In this context, many questions then arise. One of the main challenges is to be able to develop robust analysis tools making it possible to take into account the global nature of these systems, the diversity of possible interactions or the types of players, whether by their difference in location or capacity to invest. A second challenge is then to better identify the externalities resulting from the massive use of such algorithms in the environment but also in traditional markets such as that of computer components.
Medium-field games are modeling tools perfectly suited to this type of situation: they are very good candidates to provide a conceptual and quantitative framework to advance the theory of this type of consensus protocols. An important stake will nevertheless be to develop suitable tools, in particular through the deepening of knowledge at the level of “master equations”.
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 the 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 master equation-type MFG methodologies for the theory of distributed consensus algorithms in the context of blockchain-type games”.
“The development of master-equation-type MFG methodologies for the theory of distributed consensus algorithms in the context of blockchain-type games”; ensure the scientific publication of the results obtained: an article published in a mathematical 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: