O(logN) is a time complexity of an extremely scalable algorithm.
O(logC) is the same as O(C) which is O(1)
What in capitalism is the “constant” such that is costs the same in absolute terms regardless of scale? Why is socialism a tree of people and capitalism not? Why is it scaling with a log?
What are these algorithms you have in your head? What are they doing/ solving?
Sorry, I was busy these days. Here are my observations, from where I live and the history of my country, which practiced central planning in its history:
- In a market economy, the authorities' role is to design and provide small functional systems and let the inner to individuals, they also want to control things to a minimal extent, and the best algorithm to control is likely tree-based/hierarchical. Let's say they want to create a system that allows capital moving to the people need it; example: central bank. There is a hierarchy within the central bank; I do not know how it works internally because I do not study in that field. The general structure of modern capitalism resembles an ensemble of forests (authority) interacting with a swarm/point cloud of individuals/organizations. The purpose of a democratic government/authority is to maximize the 4 conflicting objectives: the expected (maximize) + std (minimize) difference between the total assets/economic power of the ruling party and the opposing party, the expected (maximize) + std (minimize) total asset/economic power of the whole collective and they - the authority controls these games (the forest ensembles). However, every individual in society has one sole objective: how to get as much public good as possible to enrich themselves; a player against the authority. These two players make a capitalism-based society stable, as they are trying to take advantage of each other.
- In a socialist economy, however, the authorities play another game: the creation of systems and "redistribution". The cost to manage such systems is small but the cost to redistribute is not a small thing. Redistribution has to know everyone's diverse needs, and each supervisor can only supervise a limited amount of humans, therefore, to achieve that, they must organize a hierarchy over the whole population somehow; on the other hand, in a market economy, that job is left by "unknown market forces". Therefore, O(logN + logC) = O(logN). In ideal socialist economy, they should focus in the public good due to the lack of opposing parties, however, reality deviates a lot from ideal scenarios but let's think the ideal is true...
When I say modern capitalism is a generalized version of socialism, here is what I meant:
- In a framework of capitalism, the government can make these "forests" bigger to increase their degree of control, and of course, they can extend their degree of control to the level of socialism if the technologies allow them to do so; and in my belief, the governments, in general, is an adversarial force to its citizen (I believe in liberalism and have a bias towards anarchism). However, what stops them from doing so is the cost of managing deterring them to do so not any civil liberty.
Why the logN seems too good to be true, horrible in reality?
There was a small experiment: take 20 children to form a line. Ask the first person to draw what they see, then pass it to the next and next person, the result is normally horrible. More precisely, I believe this is due to information compressing; example: you need to put it into a paper/a vector R^n/...
The algorithm I have in my head is:
- Capitalism: everyone wants to murder each other to achieve some goods and they are really good at playing the games to try to take over the authority to have power to murder the opposing sides or try to survive when authority is not in their control. they also try to cooperate with others in order to murder some other organizations. and of course, its nature seems horrible.
Step 1: see the big cloud
Step 2: do some modifications to the games to adapt the current situation
Step 3: many of them died, ouch
Step 4: update the games' parameters (interest rate, inflation rate, ...)
- Socialism: everyone tries to cooperate with others but they need to have a central planner for everything. this seems very humane but too much burden is put on the authority. and people are also trying to take advantage of this system, passing information that benefits them most.
Non-roots:
Step 1: receive info from child nodes and commands from parent nodes
Step 2: select the information that you want to pass to the parent nodes for your own good
Step 3: pass a part of the command from parent node to child nodes
Step 4: profit
Root:
Step 1: receive info from child nodes
Step 2: try to generate a big picture from these missing info
Step 3: make commands/pruning ill-willed nodes
