Moore(8) neighborhood in the cellular automaton literature.10 The dynamics
is driven by imitation. Individuals imitate the most successful person in the
neighborhood. A generation|an iteration of the discrete dynamics|has two
stages. First each individual plays the divide-ten-dimes game with each of her
neighbors using her current strategy. Summing the payos gives her current
success level. Then each player looks around her neighborhood and changes her
current strategy by imitating her most successful neighbor, providing that her
most successful neighbor is more successful than she is. Otherwise she does not
switch strategies. (Ties are broken by a coin
ip