There was a big discourse called the "socialist calculation debate" that basically revolved around whether a planned economy could ever "beat" a market economy. To summarize a big complicated thing in a nutshell, a market system is pretty neat because market forces are determine the price (a reflection of the value) of goods and services in an unplanned manner. It's a system that takes in information, and the various actors in the system respond accordingly. It's never 100% accurate, but given enough time and stability, it's usually pretty close.

https://en.wikipedia.org/wiki/Socialist_calculation_debate

However, a pure free-market systems is always a reaction to information, so there's a lag in whether the price accurately reflects the value of a good or service. At the worst of times, prices can suddenly skyrocket and/or plunge, and if this ripples out, this creates the familiar boom and bust cycles in capitalism.

In the socialist calculation debate, proponents of a planned economy say it should be possible to determine the accurate prices of things faster than the market can. Opponents say that the economy is simply too complicated to ever take in enough information to calculate such things.

This discourse was all occurring well before computers and the Internet were common. The most recent serious attempt at a socialist planned economy was in Chile under Allende, who saw the potential of using technology to gather and organize such information. Chile in the 70s effectively built a proto-Internet to send information from manufacturers to a centralized location, where macro-economic decisions could be made based on the information (google "Project Cybersyn"). It would have been a really interesting test of the idea, but unfortunately the United States could not allow a democratically elected socialist leader to stand, and the CIA backed a coup to overthrow Allende. The US then installed Pinochet in his a place, a brutal dictator :(

https://en.wikipedia.org/wiki/Project_Cybersyn

I'm of the opinion that with widespread computer and Internet adoption, such calculations are not only possible but happening all the time. However, such "planned economies" exist to serve capitalist corporations such as Wal-Mart and Amazon rather than the economy at-large. A book called "The People's Republic of Wal-Mart" is a good discussion on that topic: https://en.wikipedia.org/wiki/The_People%27s_Republic_of_Wal...