`EquilibriumDomain`

definition

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module: IndisputableMonolith.Applied.UniversalEquilibriumResponseC7
domain: Applied
line: 23 · github
papers citing: none yet

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IndisputableMonolith.Applied.UniversalEquilibriumResponseC7 on GitHub at line 23.

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formal source

  20
  21open Foundation.JCostHessianC7
  22
  23inductive EquilibriumDomain where
  24  | gameTheory
  25  | financialMarket
  26  | healthState
  27  deriving DecidableEq, Repr, Fintype
  28
  29theorem equilibriumDomain_count : Fintype.card EquilibriumDomain = 3 := by
  30  decide
  31
  32noncomputable def responseCoefficient (_ : EquilibriumDomain) : ℝ :=
  33  jcostHessianCoefficient
  34
  35theorem responseCoefficient_universal (D : EquilibriumDomain) :
  36    responseCoefficient D = 1 := by
  37  unfold responseCoefficient
  38  exact jcostHessianCoefficient_eq_one
  39
  40structure UniversalResponseCert where
  41  three_domains : Fintype.card EquilibriumDomain = 3
  42  universal_response : ∀ D : EquilibriumDomain, responseCoefficient D = 1
  43  kernel : JCostHessianCert
  44
  45noncomputable def universalResponseCert : UniversalResponseCert where
  46  three_domains := equilibriumDomain_count
  47  universal_response := responseCoefficient_universal
  48  kernel := jcostHessianCert
  49
  50end UniversalEquilibriumResponseC7
  51end Applied
  52end IndisputableMonolith

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