We show that evolution in a population of adaptive agents, repeatedly compe
ting for a limited resource, can come to an abrupt halt. This transition fr
om evolutionary to non-evolutionary behavior arises as the global resource
level is changed, and is reminiscent of a phase transition to a frozen stat
e. Its origin lies in the inductive decision-making of the agents, the limi
ted global information that they possess and the dynamic feedback inherent
in the system. (C) 2000 Elsevier Science B.V. All rights reserved.