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Is there a physical mechanism that determines and maintains the price of cryptocurrencies, be it a robot or a human? Let's say there is a price surge and the first buyer bought a crypto unit at $1. What would make the price click up to, let's say, $2? If there isn't some kind of a software mechanism that reacts to the purchase and increments up, everyone following the first buyer would just buy at $1, right? And why do different exchanges have slightly different prices at any given time?
And I am not talking about rates. A mechanism other than demand must change the price. Otherwise how can the range be so wild with relatively low activity? There must be an algorithm that responds to buys and sells.

Voting to close as duplicate. The TL;DR is "there is no well-defined global exchange rate. People exchange at whatever rates buyes and sellers agree on". – Pieter Wuille – 2017-11-14T21:05:57.010
I am not talking about rates. A mechanism other than demand must change the price. Otherwise how can the range be so wild with relatively low activity? – Bablo – 2017-11-15T06:12:33.377
There is no "the price". There are people who want to sell above a certain price, and people who want to buy up to a certain price. When a match between those is found, a trade happens. That's it, nothing else. "The price" that is often reported is usually a weighed average over the prices at which trades happened recently. – Pieter Wuille – 2017-11-15T06:17:36.473
To some extent, the lower the activity, the more quickly the price can change. High activity leads to accurate price discovery. Low activity means that even a small buy or sell can move the price. – David Schwartz – 2017-11-17T09:08:36.410