Chapter 59 Equilibrium, Hierarchical Game Tendency
The non-cooperative game is the mathematical principle followed by the hierarchical competition, which is the operation of the network, and the achievement of the Nash equilibrium is the steady state of chemical equilibrium, which is the convergence of the rate of change
Transactions, exchanges, exchanges, sequence matching
Memory is a change in a priori probability
The game lies in the exchange, the information determines the degree of loss, that is, the number of round-trips, ideally it is like the low resistance of superconductivity, and the information is related to the resistance of the conversioni=logr; The incomplete game is the structure of the local diffusion velocity of information, and can only make certain choices based on local information, when this property of the individual rises to the overall level, it can present a certain property such as the overall cooperation of physics
The contradiction and selective expression of sub-level equilibrium and high-dimensional equilibrium
A dynamic game is a selective representation of a network, a local optimal with various constraints, or a multi-level equilibrium, a coupling of curves in different directions, the intersection of which is a maximum
Gambling provides the most basic impetus for logical operations
The game of sequences = the game of n people, looking for the equilibrium point: the fixed point principle and the median value theorem
Causal loops are equivalent to path collapse of the network
Due to the equilibrium of the high-dimensional structure, even if a certain amount of change is provided to destroy the damage and produce fluctuations, the potential difference generated will quickly make up for it and re-form the equilibrium. This is the principle of economics www.biquge.info there is no free lunch in the world, and all changes will reach a balance in the probability network (profit is not groundless, but transferred, not enough is an efficient way to use resources, you can collect profits and probabilities at the quantum level, and continue to accumulate to the threshold)
Dynamic equilibrium, different options in the swing of the balance
The distribution of probabilities, multi-level coupling forms a normal distribution
The coupling of the game, the high-dimensional level: the flow of yin and yang is the level of flow
Brain-computer interface technology, that is, recording and interpreting the electrical signals of the brain, and controlling the machine through the signals of the brain, which is through the multi-level decoding of information
Basic theories: network science and probabilistic network system, differential equations (fractal dimensional coupling of long paths) formed by multi-level coupling, sorting out paths through statistical analysis, the structure of the network is the operation of the network, such as the feedback mechanism is the dynamic relationship between the distribution of the central node and the general node, and the further is the periodic oscillation system, the new functional area is the process of qualitative change caused by quantitative change (the complexity of the original network is rising, and it is separated after reaching a certain threshold), the relationship between local and global (the coupling of local optimal and global optimal of sequence matching) , the modules of the sequence as an eigenare are the emergence of the network (multi-level coupling (the sequence itself and different sequences), which can be simulated by oscillating natural selection to make the probability collapse, and eventually form a path), the similarity of levels, the high-level function is traversal (just paths, which can be diffused into networks), the interdependence and compensation of levels (different modules are intrinses, which can be diffusion and reduced to become networks), the combined activation and inhibition form a high-dimensional network, the range convergence of hierarchies (is the mode of node increase), the selection of risks, that is, the game of levels, will reach the Nash equilibrium point (this is the structure of coupling, there are multiple levels of diversity to make the network stable) , adaptability and sensitivity are the selective expression of the network, the expression of the sequence is carried out by the hidden Markov model, and the mutual matching of multiple sequences makes the network between the sequences formed. Chance is the selective expression of the probabilistic network, which is inevitable at a large enough scale according to the law of large numbers; the new nodes of the network tend to be connected with the central node of high connectivity (this is the phenomenon of dominance accumulation); the relationship generated by the relationship in the diffusion of the group is considered to be the causal relationship (the change of a factor triggers the change of secondary factors, and the change of secondary factors can continue to have an impact, which is the process of diffusion, due to the convergence and similarity of the levels, a certain path is finally formed, and there is also a feedback mechanism and attenuation at the same time); exchange is the source power, and the determination of boundaries is the basis of high-level exchange; the direction of sequence connection is determined by probability (unidirectionality determines the cooperation of the whole); the average path length (the convergence of levels, separated by six degrees) is the distribution of probability; annealing is the final probability collapse of the traversal of various choices, and the path formed by it is also a pattern, which also has a probability distribution; the convergence of levels and the attenuation of influence (weak connection is information diffusion, strong connection is exerting influence); connection is the source of combination, and the development of patterns can be produced according to natural selection
The similarity between the high-level level of the network and the social level; the faster the circulation speed of the network, the shorter the average distance, but there is a limit; the diffusion of influences is probabilistic, such as the influence of individuals on the whole; the overall nature of the path of network collapse formed by the connection of the whole, such as the behavior of the social level originates from the connection; the imitation behavior of the network; the law and distribution of power law; the equilibrium of the level of competition, that is, the Nash equilibrium point, and the similarity matching of the same kind of clustering makes us tend to cluster, which is the principle of influence diffusion; there can be positive and negative feedback by changing the parameters of the feedback equation; the inclusiveness of the combination, the connection can be formed at will in theory, but the reality is that due to various constraints (decay of levels), velocity connections form relationships in a certain pattern, and the clustering of networks causes individuals to lose a part of their freedom and form a whole (just as atoms form molecules and release a part of their energy); The game is the result of an internal operation within a sequence, and the sequence itself is a Turing machine; the six-degree separation is essentially an optimization mode, and the probability exceeds the threshold by passing in the direction of higher correlation; the influence is the sum of multiple levels; amplification is the result of information transfer; power-law differentiation can make the steady state easier to achieve, because the network is multi-level, and only enrichment can produce effects; the formation and breaking of boundaries are development; everything is relative, (the sky is round - geocentrism - heliocentrism - It's all the constant amplification of scales)
The formula of Newton's law is the basic function, and the connection f=gm1m2/r^2 at the quantum level is constructed with a certain relationship between quantities, and its high-dimensional level is the network.
Rationale: The intrinsic of the eigen, which is a higher-order derivative;
Six studies came up with six different results, except that the network was selectively expressed and collapsed along different paths
Arrays of independent neurons are associated with complex behaviors
A single criterion is an intrinsic that requires the coupling of multiple intrinses to obtain more objective and high-dimensional data, such as the relationship between IQ and social achievement, they are all networks, so what is more important is that the nature of the network is selectively expressed and emerged on a sufficiently large base. To be expressed in probability, for example, achievement with a high IQ is probabilistic, that is, there is not necessarily a causal relationship. So whether there really is an intrinsic feature is so closely related that we approximate it as cause and effect
Disease states and normal states are a whole-level coupling, such as insulin supplementation in patients with diabetes mellitus who are deficient in hypoglycemic function
With the development of the network, the one-to-one correspondence no longer exists, but the universal correspondence of the probability network, and only the probability accumulation exceeds a certain threshold can be observed
The number of neurons is an intrinsic and its connection is a high-dimensional structure
The ubiquitous presence of backgrounds, such as the non-conservation of the universe
The value of the individual is embodied in the expression of a model close to the intrinsic, which is the equilibrium point of the contradiction between the whole and the individual, and the value of the individual is more certain in the nature of the emergence of the whole
Laws and laws of laws are different intrinses of probability networks, and the paths of collapse according to different criteria. Reduced to the lowest dimensional level, the quantum level 1/0, its operation emerges different eigenproperties due to the convergence of the layers. Connections are the coupling of dimensions and are the properties of topology. Derivation is a natural phenomenon, and the blood supply to the brain is a characteristic change in the network
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