There is an increasing wealth of models trying to explain the evolution of group discrimination and an ingroup bias. This paper sets out to systematically investigate the most fundamental assumption in these models: in what kind of situations do the interactions take place? What strategic structures -games -support the evolution of an ingroup bias? More speci cally, the aim here is to nd the prerequisites for when a bias also with respect to minimal groups -arbitrarily de ned groups void of group-speci c qualities -is selected for, and which cannot be ascribed to kin selection.Through analyses and simulations of minimal models of two-person games, this paper indicates that only some games are conducive to the evolution of ingroup favouritism. In particular, this class does not contain the prisoners' dilemma, but it does contain antico-ordination and co-ordination games. Contrasting to the prisoners' dilemma, these are games where it is not a matter of whether to behave altruistically, but rather one of predicting what the other person will be doing, and where I would bene t from you knowing my intentions.In anti-co-ordination games, on average, not only will agents discriminate between groups, but also in such a way that their choices maximise the sum of the available payo s towards the ingroup more often than towards the outgroup. And in co-ordination games, even if agents do manage to co-ordinate with the whole population, they are more likely to co-ordinate on the socially optimal equilibrium within their group. Simulations show that this occurs most often in games where there is a component of risktaking, and thus trust, involved. A typical such game is the stag hunt or assurance game.Keywords ethnocentrism, minimal groups, cooperation, replicator dynamics, assurance game Graphical Abstract Both analyses and simulations show that an ingroup bias evolves in (anti-)co-ordination games. The simulations further show that the strategy becomes particularly prevalent in stag hunts. The picture depicts, to the left, the games derived from the game matrix, in the middle, for di erent values of x and y. The panel to the right shows the simulated proportional prevalence of an ingroup bias for the di erent games when there are ten groups in the population.