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4. 3. 2. Economic Optimisation with Exogenous Prices -- 4. 4. THE PARETO SET -- The Welfare Theorem for an Exchange Economy -- Smales Theorem on the Generic Existence of Regular Economies -- 5. SINGULARITY THEORY AND GENERAL EQUILIBRIUM -- 5.l. SINGULARITY THEORY -- 5.1.1. Regular Points: The Inverse and Implicit Function Theorems -- 5.1.2. Singular Points and Transversality -- 5.2. GENERIC EXISTENCE OF REGULAR ECONOMIES -- FURTHER READING -- REVIEW EXERCISES -- INDEX