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The procedure of making decisions by
fractional voting -- it goes by a number of names -- is quite common in business, advertising, and economics. Fractional voting is one of those many, many advantages which our rulers use to their own benefit but deny to the rest of us. It is a method usually classified under
social choice theory. There is at least one mathematical proof---which I have examined---that it is not affected by Arrow's Impossibility Theorem. The proof is not well-known. The proof and a brief discussion of its consequences are in the fractional voting link.
The paper is on a Rutger's University site, which I include below:
Arrow's Paradox
A layman should be able to have an intuitive understanding that it escapes the problems of Arrow's Theorem by noting that, obviously, it is exempt from the primary restriction of being a system of preferential ranking of a list of candidates that results in clear and immediate winners and losers. Virtually all systems of voting which today are used and studied are vertically organized, hierarchical systems. They are a barbaric legacy of the past---when robber-kings and feudal despots ruled, and the common people grovelled before them. Some candidates are given the privileges of power, other candidates are excluded from those privileges.
The system which I am beginning to outline here is a horizontally organized system ---
no group of any significance is ever excluded from power; all groups are always in power; no group is ever out of power. Elections determine only one thing: the
degree of power an individual group shall enjoy during a particular administration.
Each lobby group would be elected and given its power by those members of the community who were most concerned and involved with the lobby and its programs---in terms of money, power, or amenity of life---just as is the case today. The lobby groups, of course would have to be financed---a question I will take up later. A lobby group which became corrupt, or incompetent, or otherwise failed to fulfill the program to which its supporters were committed would find its power and finances sharply curtailed when its supporters transferred their votes to competing lobbies at the next election---not all that different from what happens today. This competitive factor would be a strong incentive for the lobby groups to design and deliver successful programs which would, as much as possible, satisfy as many electors as possible.
This is
definitely not similar to the situation which exists today. Each lobby group would need to have trained administrators---just as today; each would employ trained researchers and experts with specialized knowledge---which
all too often is
not the case today, though it is true of worthwhile and effective lobbies. Lobbies would require skilled negotiators and effective propagandists---and here would be a niche where our present-day politicians could find employment; they would be denied their present opportunities for graft, corruption and bilking the public, but they would be able to fulfill their true calling and nature as:
flacks! · ·

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