A Nonlocality Anomaly and Extended Semiquantum Games

A nonlocality anomaly in which a partially entangled state can outperform a maximally entangled state in a task exploiting nonlocality and several ways to remove the anomaly are discussed. A necessary condition for the anomaly to occur is given in terms of joint probabilities of local measurements. By extending semiquantum games to include classical communication, the anomaly is shown to be removed with respect to semiquantum probabilities.