“…They include kin and group selection [Hamilton, 1964, Traulsen and Nowak, 2006], direct and indirect reciprocities [Ohtsuki and Iwasa, 2006, Krellner and Han, 2020, Nowak and Sigmund, 2005, Han et al, 2012, Okada, 2020], spatial networks [Santos et al, 2006, Perc et al, 2013, Antonioni and Cardillo, 2017, Peña et al, 2016], reward and punishment [Fehr and Gachter, 2000, Boyd et al, 2003, Sigmund et al, 2001, Herrmann et al, 2008, Hauert et al, 2007a, Boyd et al, 2010], and pre-commitments [Nesse, 2001, Han et al, 2013, Martinez-Vaquero et al, 2017, Han et al, 2016, Sasaki et al, 2015]. Institutional incentives, namely, rewards for cooperation and punishment of wrongdoing, are among the most important ones [Wang et al, 2019, Sigmund et al, 2001, Han and Tran-Thanh, 2018, Sigmund et al, 2010, Vasconcelos et al, 2013, Chen et al, 2015, Wu et al, 2014, García and Traulsen, 2019, Góis et al, 2019, Powers et al, 2018]. Differently from other mechanisms, in order to carry out institutional incentives, it is assumed that there exists an external decision maker (e.g.…”