The mathematics on this is pretty simple to measure from a perspective of game theory. If you have information and power symmetries all exchanges will tend toward mutual benefit. As information or power asymmetries are introduced, the exchanger who is "upstream" of the asymmetry will tend to end up as the "more equal" partner, all other things being equal.
Math? That is Business 101
Let me ask; does the Math fit the People or the People fit the Math ?
On another matter you sound versed in high order math. I have been working on a formula compression algorithm in ternary logic where the resulting answer from a given formula is a large number resulting in 1's and 0's. But the logic handles 3 states +0- for the calculations.
The concept is to reduce extremely large numbers to a basic formula of x^y^z with each having 256 possibilities. And with encoding the meta data for a file and looping at each stage and keeping track of the loops and metadata while encoding such into the original binary file: to end up with a extremely small file <1000 Kb that represents the variables to be put into a Universal Formula that when decompress represents the original file.
I have achieved a 98% compression on a 1 MB randomly generated file. Most of the remaining 2% is metadata for the program. Scaling is the issue, if versed in complexity theory (which is what most people quote to prove a flaw in the logic) I state that because the resulting answer will "Always" be consist of 1's and 0's that theory does not apply.
I need to prove the algorithm with large files, the down side is on decompression the file must expand to 8-10 times its original size.
Thats fine with relatively small files but in order to add to the Complexity Theory, I need to prove extremely large numbers. That is where thine problem lie.
Any thoughts?
The cool thing so far, is a 1 Gb file can be compress to the 1Mb or less. The bandwidth savings will be a fortune for lots of people. Not to mention say good bye to file sharing. My ultimate goal is to be able to print out a single sheet with the variable and meta data that can be physically entered into a program to be decompressed to the original file.
Track That !!!