Blockchain phenomena is similar to the last century gold rush. Blockchain technologies are publicized as being the technical solution for fully decentralizing activities that were for centuries centralized such as health, administration or banking. Therefore, prominent socio-economical actors all over the world are attracted and ready to invest in these technologies. Despite their large publicity blockchains are far from being a technology ready to be used in critical economical applications and scientists multiply their effort in warning about the risks of using this technology before understanding and fully mastering it.The main drawback of Bitcoin and other similar blockchains is their limited scalability. Recently, Lightning Networks  have been developed in order to solve this issue through private micro-payments. This technology builds on top of blockchains (e.g. Bitcoin) an overlay of secured channels opened by two agents involved in long term multi-transactions. This overlay is further used to route transactions. So far no theoretical study has been conducted in order to model lightning netwotks. The theses main challenge is to explore the recent field of mean field games [4,5] which have been recently introduced in order to model non-cooperative games with large number of symmetric agents. Mean field games are a promising bases for modeling the interaction of agents in ligthning networks.
Keywords : non cooperative game theory, mean field games, blockchains
This PhD research project has been submitted for a funding request to “Sorbonne Center for Artificial Intelligence (SCAI)”. The PhD candidate selected by the project leader will therefore participate in the project selection process (including a file and an interview) to obtain funding.