Why did the DS beat the PSP?

Can you explain the factors that contributed to the success of the Nintendo DS over the Sony PSP in the portable gaming market? Did the DS's unique touch screen and stylus functionality provide a more engaging and intuitive gaming experience compared to the PSP's traditional button-based controls? Or did the DS's wider array of titles, targeting both hardcore and casual gamers, play a more significant role in its popularity? Furthermore, was the DS's pricing strategy more appealing to consumers, allowing it to capture a larger market share than the PSP? Ultimately, what factors do you believe were the driving force behind the DS's victory over the PSP?