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It seems highly unlikely that the entire world will coalesce under one political system in only 100 years.
There's such a huge variety of situations in different countries with different communities, histories and cultures.
The rate of political and economic change in the world seems proportional to the aggregate volume of communication, and, therefore, to technological progress. It has changed more in each of the last four centuries than any before that, and the trend looks set to continue. 100 years is a long time
It is difficult for a capitalist society to adapt to inexpensive labour being taken away by communism, and many proletarians, if many of them read correct news, not propaganda, may want communism in their own region.
As per-capita productivity increases through automation and efficiency optimisation, the capitalist labor market system ceases to provide a workable solution for a critical number of people.
Communism isn't the only possibility in world changed by high unemployment due to productivity.
Universal basic income, for example could be implemented without a communist system.
Basic Income, combined with other social welfare policies both approximate and lead to a socialist transition.
As taxation burden rises, and taxation base shrinks, and more people are dependent on basic income and government services, the government will be forced to either to take advantage of productivity rises and operate public services (at little profit) or control prices to ensure services are provided
Communism is a stateless (no Government), classless, moneyless society with collective ownership of the means of production. Neither of the situations you described is communism.
Communism is stateless, and welfare policies require a state.