Experiments over a variety of optimization problems indicate that scale-eff
ective convergence is an emergent behavior of certain computer-based agents
, provided these agents are organized into an asynchronous team (A-Team). A
n A-Team is a problem-solving architecture in which the agents are autonomo
us and cooperate by modifying one another's trial solutions. These solution
s circulate continually. Convergence is said to occur if and when a persist
ent solution appears. Convergence is said to be scale-effective if the qual
ity of the persistent solution increases with the number of agents, and the
speed of its appearance increases with the number of computers. This paper
uses a traveling salesman problem to illustrate scale-effective behavior a
nd develops Markov models that explain its occurrence in A-Teams, particula
rly how autonomous agents, without strategic planning or centralized coordi
nation, can converge to solutions of arbitrarily high quality. The models a
lso perdict two properties that remain to be experimentally confirmed:
construction and destruction are dual processes. In other words, adept dest
ruction can compensate for inept construction in an A-Team, and vice-versa.
(Construction refers to the process of creating or changing solutions, des
truction, to the process of erasing solutions.)
solution quality is independent of agent-phylum. In other words, A-Teams pr
ovide an organizational framework in which humans and autonomous mechanical
agents can cooperate effectively.