Proclamation of game-theoretic emergence

  1. Game theory studies behavior of rational agents. Physical reality has no place for rational agents. Rationality can only exist as epiphenomenon atop stochastic behavior of matter.

  2. Partial ordering exists on the set of stochastic games, defined by IMIT (Is More Interesting Than) relation, such as G1 IMIT G2 if and only if

    1. every optimal (in any sense) strategy of game G2 can be obtained by trivial permutation of some optimal (in any sense) strategy of game G1;

    2. there is optimal (in any sense) strategy in game G1 that can’t be obtained by trivial permutation of any optimal (in any sense) strategies of game G2.

  3. Some material aggregates of uniform elements that turn energy income into stochastic behavior are curious. It means that

    1. if curious aggregate has big enough excess of internal energy for any single game, eventually some of its actors’ behavior stops being random;

    2. if curious aggregate has big enough excess of internal energy for both games G1 IMIT G2, eventually some of its actors’ behavior stops being reductive to optimization of G2.

  4. There is no maximally interesting games. Spontaneous unlimited complication of behavior in curious aggregates induces rationality epiphenomenon.

  5. Liquid solutions of macromolecules are curious. Rationality epiphenomenon, emerging on such scale of conflicts, we commonly call life.

  6. Biological neural circuits are curious. Rationality epiphenomenon, emerging on such scale of conflicts, we commonly call psyche.

  7. Computationally universal systems are curious. Rationality epiphenomenon, that can emerge on such scale of conflicts, doesn’t have a name yet.