“…In games of strategy like the prisoner’s dilemma, randomly switching between actions has no clear advantages, and agents do not need to care about their counterpart being able to predict their next move (Axelrod & Hamilton, 1981; Camerer, 2003; Sheldon, 1999). This is different in games of strategy with its equilibrium in mixed strategies, such as hide-and-seek games (Bar-Hillel, 2015; Lahat-Rania & Kareev, 2023), best-shot-weakest link games (Clark & Konrad, 2007), inspection games (Nosenzo et al, 2016), and colonel-blotto and attacker–defender contest games (Chowdhury et al, 2021; Chowdhury & Topolyan, 2016; De Dreu & Gross, 2019b; Hunt & Zhuang, 2023; Roberson, 2006). In hide-and-seek games, for example, hiders want to be where seekers are not looking, yet seekers want to look where hiders are hidden.…”