Its downfall began with suicides of discontent Samurai after which Ashikaga Takauji assumed the title of shogun.
This polity won a war which saw the defeat of the Retired Emperor Go-Toba and the appointing of jito in the losing side's provinces. That war, the Jokyu War, solidified control of this dynasty by the Hojo clan, It was aided by typhoons in repelling two sea-borne invasions of the Yuan Dynasty, spearheaded by Kublai Khan. Its downfall began with suicides of discontent Samurai after which Ashikaga Takauji assumed the title of shogun. Established after its founder defeated the Taira clan in the Gempei War, for 10 points, name this shogunate established by Minamoto no Yoritomo, the first Shogunate in Japanese history.
This polity won a war which saw the defeat of the Retired Emperor Go-Toba and the appointing of jito in the losing side's provinces.
Kamakura Shogunate [accept "Bakufu" for "Shogunate"]