“…Some of these rely on altering the rules of the game that specify single, independent strategy choices by allowing repetitions (Aumann & Sorin, 1989; Anderlini & Sabourian, 1995) or costless pre-play “cheap talk” between players (Anderlini, 1999; Ellingsen & Östling, 2010; Farrell, 1988; Rabin, 1994). Social projection theory (Acevedo & Krueger, 2005; Krueger, 2007; Krueger & Acevedo, 2005; Krueger, DiDonato & Freestone, 2012) assumes that players use a form of evidential decision theory according to which people expect their co-players to choose whatever they themselves choose, but evidential decision theory was excoriated by Lewis (1981) and is still generally viewed with skepticism (Chater & Vlaev, 2012; Yamagishi, 2012).…”