“…The ratio bias represents a clear violation of one of the most basic assumptions of rational choice-invariance across normatively equivalent problem representations. The ratio bias can even cause people to favor options with strictly worse odds (Alonso & Fernández-Berrocal, 2003;Denes-Raj & Epstein, 1994;Yamagishi, 1997; but see Lefebvre, Vieider, & Villeval, 2011), and past studies have shown the ratio bias to be associated with a number of negative traits, such as superstitious thinking (Toplak, West, & Stanovich, 2016) and low numeracy (e.g., Peters et al, 2006). Given the ubiquity of the ratio bias, several theories have been used to explain it, including cognitive-experiential self-theory (CEST; e.g., Epstein, 2013), fuzzy-trace theory (FTT; e.g., Reyna & Brainerd, 2008), anchoring and adjustment (Yamagishi, 1997), and norm theory (Miller et al, 1989).…”