The paper presents a set of games of competition between two or three players in which reward is jointly determined by a stochastic biased mechanism and players’ choices. More specifically, a resource can be found with unequal probabilities in one of two locations. The first agent is...

Whether behavior converges toward rational play or fair play in repeated ultimatum games, depends on which player yields first. If responders conceded first by accepting low offers, proposers, would not need to learn to offer more. Play would thus converge toward unequal sharing. If proposers,...