IndisputableMonolith.Economics.NashEquilibriumTypesFromConfigDim
The module defines types and certificates for Nash equilibria indexed by configuration dimension in the Recognition Science economics layer. Researchers modeling discrete self-similar markets cite these objects to classify equilibria arising from the phi fixed point. It is a pure definition module that imports the base time quantum from Constants and contains no proofs or theorems.
claimDefines the type family $N : {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N} {N}
background
Recognition Science extends its single functional equation to economics by letting configuration dimension select among self-similar equilibrium structures. The module introduces NashType as the type family indexed by natural numbers, nashType_count as the associated cardinality function, and the pair NashEquilibriumCert with nashEquilibriumCert as the certification interface. These objects rest on the imported constant τ₀ = 1 tick that supplies the discrete time base for all processes.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The definitions supply the type infrastructure for Nash equilibrium analysis in the Recognition Science economics layer. They feed parent results on equilibrium selection and stability that appear in downstream economics modules. The construction aligns with the eight-tick octave and the forcing of D = 3 from the unified chain.