Expectation is a statistical fiction, like having 2.5 children.
Part One, Entropy, Gamblers Ruin, p. 50
Far from preventing gambler's ruin, martingale accelerates it.
Part One, Entropy, Gamblers Ruin, p. 52
Shannon's most radical insight was that meaning was irrelevant.
Part One, Entropy, Randomness, Disorder, Uncertainty, p. 55
In real conversations, we are always trying to outguess each other.
Part One, Entropy, Randomness, Disorder, Uncertainty, p. 56
The more improbable the message, the less "compressible" it is, and the more bandwidth it requires. This is Shannon's point: the essence is its improbability.
Part One, Entropy, Randomness, Disorder, Uncertainty, p. 57
Use "entropy" and you can never lose a debate, von Neumann told Shannon - because no one really knows what "entropy" is.
Part One, Entropy, Randomness, Disorder, Uncertainty, p. 57
The best strategy is one that offers the highest compound return consistent with no ri
How about this tidbit:
Poundstone describes the small group of Kelly economists and money managers who have kept the flame alive: their battles with Paul Samuelson over the logic of their math (“a complete swindle,” wrote the great economist at one point); Economic PrinciplesSamuelson was a smoothie, assumed we could compute a fractional carton of eggs.
The real connection between Shannon and economics comes from Optimal Flow theory, goods are packaged to flow the most with the fewest transaction. Optimal flow theory didn't really come about until a few years ago. I am still trying to locate the author of the theory.
Why am I looking at all this? I am trying to find out why Keynes and Shannon never met. The general theory published in 1936, and Shannon theory in 1948. I think the two just missed each other.
To understand entropy investing, consider the investment opportunities to be a maximum entropy flow. Your hidden information is the aggregations that appear occasionally that are not encoded, those are the ones you jump on. Elliot waves are a form of optimal flow, maximum entropy investing. Everything that is delivered in the economy, eggs to aircraft carriers, offers arbitrage opportunity if the delivery channel, in its entitety, can be observed. The -iLog(i) should fit the Huffamn patterns (all i-Log(i) within an integer) , a known and simple algorithm. The key is that parts of the delivery chain are hidden, but these missing gaps can even be estimated. Why does the market assume a flow? Well, it has to, humans cannot avoid it. And the underlying real economy, the movement of steel and rubber, has to obey optimum flow. There is a mutual entropy thing going on with the real economy and the investment economy.
How did Samuelson miss this? Dunno, never read about Hilbert spaces? Or maybe Gibbs never simplified the theory enough for him to understand. Or maybe Samuelson lived when we still had the illusion of smooth time flow.
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