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Established already in the Biblical times, the Matthew effect stands for thefact that in societies rich tend to get richer and the potent even morepowerful. Here we investigate a game theoretical model describing the evolutionof cooperation on structured populations where the distribution of public goodsis driven by the reproductive success of individuals. Phase diagrams revealthat cooperation is promoted irrespective of the uncertainty by strategyadoptions and the type of interaction graph, yet the complete dominance ofcooperators is elusive due to the spontaneous emergence of super-persistentdefectors that owe their survival to extremely rare microscopic patterns. Thisindicates that success-driven mechanisms are crucial for effectively harvestingbenefits from collective actions, but that they may also account for theobserved persistence of maladaptive behavior.

Success-driven distribution of public goods promotes cooperation but preserves defection