“…Until recently, such costly punishment has been perceived as an evolutionary puzzle because punishers accept costs to harm others while third parties benefit from the increased cooperation levels (Dreber et al, 2008;Fehr & Gächter, 2002;Rankin et al, 2009;Sigmund, 2007;Wu et al, 2009). However, if punishers can build up a punishment reputation that affects later decisions of others, punishment can lead to long-term benefits that compensate or even outweigh the immediate costs of punishment (dos Santos et al, 2011;dos Santos et al, 2013;Hilbe & Sigmund, 2010;Hilbe & Traulsen, 2012). This holds for dyadic interactions, but it is unclear whether punishment reputation facilitates the emergence of cooperation also groups larger than 2.…”