Mathieu Faure: mathieu.faure[at]univ-amu.fr
Gaëtan Fournier: gaetan.fournier[at]univ-amu.fr
We provide the existence of pairwise stable weighted networks under assumptions similar to Nash equilibrium existence theorem. In particular, as opposed to the case of unweighted networks, the existence of closed improving cycles does not prevent the existence of pairwise stable weighted networks. We also propose a concept that refines pairwise stability concept and prove its existence under general conditions. In this talk, we will give many examples.