Equilibrium in Nash’s Mind

EasyChair Preprint 3295

Abstract

Capps suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. Nash (1950) proved a generalization of Neumann’s approach. The quotability of “Nash equilibrium” grows exponentially. Nash obtained the Nobel Prize (1994) in economics. The essence of Nash’s equilibrium consists in the aims to be divided between the players disjunctively therefore achieving a more stable equilibrium. On the contrary, they share the aim(s) in Neumann’s approach being always in direct competition conditioning instability and trends to disintegration. The Nash equilibrium can be seen as “strategic”.Schizophrenia is featured by a series of instabilities and trends to disintegration in:

– “Common sense”

– Imagination and perception

– The self

– The perception of the others

– Time perception

– Choice and rationality

– Understanding metaphors

The enumeration can be continued, but all those cases can be described as the severe competition of mental functions with a single winner and the suppression of both defeated and defeating functions, all of which are too important for integrity and psychic health.The Japanese psychiatrists even renamed schizophrenia to “Togo Shitcho Sho”. Two or more Turing machines (i.e. usual computers) can model a normal brain in the Nash equilibrium. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a human brain.

Keyphrases: Nash's equilibrium, Neumann's equilibrium, Schizophrenia, equilibrium, mind

@booklet{EasyChair:3295,
  author    = {Vasil Penchev},
  title     = {Equilibrium in Nash’s Mind},
  howpublished = {EasyChair Preprint 3295},
  year      = {EasyChair, 2020}}