The Generalization of the Kula Ring Conjecture

Fig1 above shows a simple and basic economy much like the Kula Ring conjecture by Szabo. Fig 2 and Fig 3 show the different possibility that might arise as inflection points depending on how different circumstances might arise. Fig 4 shows a complete transition to a land based division in which economies of different fashions might now arise depending on a more boundary and agricultural type expansion.
1) For humans to live, co-habitate, and create a thriving sustainable civilization, 3 (possibly) scare resources are needed: Food, Shelter from the environment, and Fresh water.
2) These 3 crucial resources can either be secured in a civilization’s own lands or bartered for.
3) Nick Szabo’s Kula Ring conjecture shows how money itself might arise from a coincidence of these (or other) wants.
4) The four color map theorem states: “…given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions of the map so that no two adjacent regions have the same color.”
5) A Nash Equilibrium occurs when “…no player can benefit by changing strategies while the other players keep theirs unchanged, then the current set of strategy choices and the corresponding payoffs constitutes a Nash equilibrium.”

This suggests then on a plane/surface, such as the surface of our planet and in relation to the “nature and causes of “wealthy nations”, there is necessitated a minimum of 4 main distinct “resources” (food, shelter, fresh water, “money”) needed to create a natural and basic equilibrium for stability.

(Notes: could probably add in the bargaining problem/solution from Nash to show the value of money in trade and the possibility to extend mutual gain (also see ideal money))


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