Scarcity occurs when a resource has very limited availability. In other words, scarcity occurs when the supply of a good does not meet the demand of that good.
The most likely effect of ivory scarcity in the Ancient World, thus, was a reduction in the supply of ivory when compared to the demand for the good. Scarcity did not necessarily reduced demand, but it did reduce supply. This very likely made ivory a very expensive good at the time.
The documented that upheld George Washington's policy of the United States not getting entangled in internal European Affairs and existing European Colonies for many years was Known as the Monroe Doctrine. The intent and impact of the Monroe Doctrine was to speerate the spheres of influences between the old world (Europe) and the New world ( America).