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

The phenomenon of predating predators requires at least three specimens to whom we refer as players 1, 2, and 3. Player 1 has simply to guess nature when trying to find food. Player 2 is hunting player 1 in the hope that 1 is well fed but must also avoid being hunted by player 3. One major...