We study population game dynamics under which each revising agent tests each
of his strategies a fixed number of times, with each play of each strategy being
against a newly drawn opponent, and chooses the strategy whose total payoff was
highest. In the centipede game, these best experienced payoff dynamics lead to cooperative play. When strategies are tested once, play at the almost globally stable
state is concentrated on the last few nodes of the game, with the proportions of
agents playing each strategy being largely independent of the length of the game.
Testing strategies many times leads to cyclical play.
