VANETs are self-organized networks in which their constituent nodes are vehicles. They can be classified as a subcategory of MANETs. Due to their special characteristics, they demand protocols designed specifically for their scenario of action. Various types of applications can be created for VANETs such as security, traffic management, systems maintenance and comfort for drivers and passengers. In general, applications developed for VANETs make use of broadcast information. However, there are many issues to be considered. One of the central problems is the broadcast storm. In this paper, a temporal probabilistic protocol based on Game Theory and the Statistic Exponentially Weighted Moving Average, entitled E-ProbT, is proposed to mitigate the broadcast storm problem. According to the packet forwarding decisions, rewards and penalties are defined for neighbors, applying the Game Theory. An estimation of the highers forwarding probabilities of the neighbors is executed utilizing the Statistic Exponentially Weighted Moving Average. The E-ProbT performance will be measured and compared to the performance of the protocols: blind flooding, Wheighted p-Persistence, AutoCast, Irresponsible Forwarding and ProbT. Keywords: VANETs. Game Theory. Broadcast Storm. Dissemination of Information