Incomplete strategy effect in Minority Game

We perform simulations with the extended Incomplete Minority Game model, and find that limited incompleteness in strategies can improve the system efficiency greatly. There is a critical pIcpIc such that agents in a system can get the best cooperation. The critical strategy density value αcαc decreases monotonously with the increase of pIpI. We also mix incomplete strategy agents with standard strategy agents to study the effect of incompleteness distribution on system properties and group average profit. Concentration of incompleteness weakens its effect. When pIpI is close to zero, agents using incomplete strategies averagely have better profits than those using standard strategies.