Fair resource allocation in the presence of a jammer

A game-theoretical model between a base station distributing power among users and a jammer trying to harm the base station is considered. The goal of the base station is to distribute the power among users fairly taking into account its cost. The goal of the jammer is to harm the work of the base station also taking into account the cost of the employed power. The existence and uniqueness of Nash equilibrium are proved and its properties are investigated.