I prove an "average" version of the Lyapunov convexity theorem and apply it to establish some core equivalence results for an atomless economy.
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Find related papers by JEL classification: D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
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