Evolution is based on mutation and selection, and as often said, on the survival of the fittest. Selfish individuals, who just care on maximizing their own benefits, are thus expected to spread within any well mixed population at the expense of cooperative individuals. However, as we show here, the existence of a limiting resource necessary for reproduction may alter this situation and act suppressing selfishness. To study this effect we have developed a simple model of a population of interacting individuals. When the resources exchanged in the interactions are small compared to the replication limit (amount of resources necessary for replication), the interactions equal a well mixed prisoner’s dilemma, where selfish individuals are the active ones and overcome the population. However, when the resources exchanged increase the game is modified, leading in some cases to the extinction of selfish individuals.