Dear Colin,
Thanks for reading and commenting. Having now read your fine essay, I note the following: You start off prioritizing the problems, showing, if nothing else, that some people worry about anything--even the "death of the universe". You then focus on current issues such as the mal-distribution of wealth.
Your entropy analysis of hot versus cold economy, and the entropic effect of capital concentration is very nicely done. You then use Maxwell's demon to analyze the problem. As you noted, I use "free energy" to analyze the same problem. I think we arrive at similar conclusions. I very much like the attention you pay to "tyranny of the majority". While you note the "influence" of wealth on political systems, I tend to view the entangled nature of government and crony capitalism as one thing.
You then get into the meat of your analysis based on Jaynes. [Note-my 2013 essay had a page of endnotes devoted to Jaynes.] Your example on page 3 is simply masterful, although it requires considerable study to make sense of it. A helluva lot of information in a 4 x 5 table! [Also like your 'players'-Bob, Carol, Ted, Alice--and Kenny (who hasn't been seen since the last election).]
Your summary on page 4 is excellent, despite that the numbers in your example are far from transparent (the consequence of having only nine pages to solve the future of humanity.)
Please note that the distribution says nothing about the freedom of the citizens, only how big a slice of the pie they get. Your treatment of "democratic tyranny" as fascism, and your observation of its inherent instability is very interesting. Your conclusion is also graphically stated--five lifetimes, and your comparison of how short this is by contrasting it with 1664.
Your epilogue (poor Kenny!) nicely captures Ted's machinations to slowly change the weighting over time. I'm sure you were not referring to, for example, GE, which owned the MSNBC/Obama network and paid no taxes.
It's very hard to extract the information from tables, so perhaps a Mathematica-type topology could make things more graphic.
I did not understand whether the ideas underlying this essay are your own, or adapted from your reference [1]. In any case it is a masterful essay, and deserves expansion beyond nine pages. I hope you do very well in the essay contest.
Best regards,
Edwin Eugene Klingman