After world war ii, what economic systems did the soviet union and the united states want to spread in the world?

I don't know if this is what you wanted as an answer.

Relations between the Soviet Union and the United States were driven by a complex interplay political, and economic factors, which led to shifts between cautious cooperation and often bitter superpower rivalry over the years. The distinct differences in the political systems of the two countries often prevented them from reaching a mutual understanding on key policy issues and even, as in the case of the Cuban missile crisis, brought them to the brink of war.