"capitalist world" is a correct and usable phrase in written English.
For example, you could use it in the following sentence: "The ever-changing capitalist world can be difficult to keep up with."
Communist ideas in a capitalist world can be very effective.
But it sometimes fails another test of the capitalist world.
The "it" here is our market-driven capitalist world.
We inhabit the hub of the advanced capitalist world.
This new policy has transformed relations between socialist China and the capitalist world.
"Hong Kong is a window to a freer, capitalist world," he said.
In a capitalist world, smoking is a little sub-economy of communism.
Across the capitalist world, once-strutting tycoons are begging for state bail-outs.
Why are small and culturally homogeneous nation-states in the advanced capitalist world so prosperous?
It feels unnatural in our lustrous, capitalist world to have to persevere for long-term gains.
I teach all these 20-year-old students and they were born into a capitalist world.
