Consider someone buying GBP/USD, they want to get some British goods. Some else buying USD/GBP, move goods in the opposite. At the price point, we have an inverse, I can buy the GBP and then sell it and with a 50/50 chance break even over many trials.
Our standard pits selling cash against another digital good, like securities, cannot do that, there is no inverse. So, in a sense, coins which cover an 'economic zone', will invert relative to another 'economic zone'. Economic zones are aggregates of agent packing sphere, and will be tangent.
In the ideal, coin to coin exchanges need very long windows, the market prefers a monopoly, a simple calculator with no round off error.
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