Consider a town with $N$ competing sources of content where each one wishes to disseminate its own content and thus to make its content available to as many destination users as possible. The dissemination to the potential destination is done through a fleet of $M$ mobile relays. The rate of dissemination of content of a given source to its potential destinations depends on how many relays have a copy of the content. We therefore focus on the problem of competition over the access to relays. Each source has to trade between the access costs and and the availability of his content in the relays. As access cost we consider here the transmission power used by the source. The power used determines the coverage of the transmission and thus the probability of reaching some relay. We model the competition using stochastic game approaches and then obtain the structure of the equilibrium strategies.