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I assume that you aren't aware of fact that marketless economy is just impossible. Even if you eliminate money, people will still exchange goods which defines market. You won't get rid of market regardless whatever you'll do.
Along with others here I'll take exception to your personal understanding of the term 'market' -- a market is only required for the mode of *commodity* production because those commodities are given *exchange* values (prices), in addition to their inherent *use* values.
Prices, then, are compared in the marketplace, for exchanges of products and money.
As revolutionaries we're upholding that a *political* economy is possible, to replace commodity production, prices / exchange values, and material exchanges *altogether*.
It's un-revolutionary-like of you to continue to *insist* that personal-level swapping of items or favors could still be considered "markets" when that kind of activity has nothing to do with *production* -- libertarians commonly mischaracterize secondary-type markets like these as being the same as the *production* that had to happen to make the items in the first place.
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To expand on that you can use computers to manage the economy in a decentrally planned economy.
I'd like to hear more about this, if you would oblige -- I'm very skeptical because computers don't have the capacity for individual autonomy the way *we* do, so they wouldn't actually be *managing* anything in the pro-active sense of the term.
And, a "decentralized" kind of decision-making only begs the question -- if several (productive) entities have the same information in front of them, which one / who would be making the final decision(s) over their coordination in common, as for producing a finished product -- ?
I suppose it could be an *emergent* event, where either cooperation takes place on an ad-hoc basis, or else it doesn't. But, along the way, there could be much 'messiness' where many more entities attempted to coordinate from the beginning but found their efforts fruitless and their time wasted, for whatever reasons. (And this would be very similar politically to the chaos of the market-based planning of today.)