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I. The Deterministic Grounding of the Model.- 1. The Observation of a Set of Agents.- 2. The Observation of a Market.- II. The Replica Model.- 3. The Deterministic Replica Model.- 4. The Probabilistic Replica Model.- III. Core and Walras Allocations.- 5. The Definition of the Core.- 6. Walras Allocations.- 7. Core Versus Walras Allocations.- Al Boolean Algebras and Stone Spaces.- A.1.1 Boolean Algebras.- A.1.2 Stone Spaces.- A.1.3 Measure Theoretic Tools.- A2 The Riemann Darboux Integration.- A.2.1 The Generalized Jordan Content.- A.2.2 The Generalized Riemann Integral.- A3 Some Proofs.- A.3.1 Proofs Concerning Chapter I.- A.3.2 A Proof Concerning Chapter III.- A4 The Elementary Model.- A.4.1 The Elementary Representation.- A.4.2 A Final Comment.- References.