China is not like the postcapitalist society depicted in this game. Nor was the USSR. It is imagining a possible future, not an existing one :)
Both of an economy Capitalism and communism have at their end goals an system of distributing goods and services to peoples needs and desires. In practice however, many governments and systems that proclaim communism go to force it through forced distribution. This generally results in a central committee of people either immediately with the creation of or shortly after the governance of a state has become communist that control the means of production. Whilst the rest of the populous has no effective means to govern it. In countries with more capitalist tendencies, the power is split between the government and companies, and further with factions in the government and competing companies respectively, making the division of power much more decentralized. Noted companies in capitalism do lobby companies, a much more subdued version a government secretary of energy, transportation, or agriculture.