IndisputableMonolith.Economics.GameTheoryFromRS
The module derives game-theoretic notions from Recognition Science by characterizing Nash equilibrium as the vanishing of J-cost. Economists and physicists seeking a unified foundation for strategic behavior would cite it to link equilibria to the core J-equation. The module supplies type definitions and characterizations that rest directly on the imported Cost module.
claimIntroduces GameType as a structure for strategic interactions and certifies Nash equilibrium by the condition $J=0$.
background
Recognition Science starts from the single functional equation whose solutions yield the J-cost function satisfying the Recognition Composition Law. The module imports the Cost module, which supplies the definition of J-cost and its algebraic properties. It then introduces GameType to encode games and defines nash_equilibrium together with off_equilibrium and GameTheoryCert to mark the J=0 locus.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the interface that lets Recognition Science reach economics, feeding downstream models that treat strategic choice as a special case of J-cost minimization. It realizes the Nash condition directly from the J-uniqueness property in the forcing chain, closing one step toward deriving economic behavior from the single functional equation without additional postulates.
scope and limits
- Does not compute equilibria for concrete payoff matrices.
- Does not treat mixed or extensive-form games.
- Does not derive the J-function or the Recognition Composition Law.
- Does not connect to mass ladders or physical constants.