In the spam regime, the system tends to behave very wildly.
Price wars are even a problem when .
Consider a system in this regime with n brokers and n categories. Such a system can accommodate each broker's wish to be a monopolist in a single category. However, if the consumer population slightly favors one category, a system of niche monopolists is unstable, because each broker will cut its price in an effort to own the favored category. Simulations reveal that slightly less favored categories tend to be available much less often than the consumer population would like. Intuitively, any sort of economy consisting of myoptimal agents is likely to be plagued with price-war limit cycles.