Equilibria in a large economy with externalities, non-convex preferences and an infinite-dimensional commodity space via relaxation

By employing a saturated measure space for the set of agents, we take a convexification by randomization approach to prove the existence of competitive equilibria in a large economy with externalities and an infinite-dimensional commodity space without convex preferences. • A relaxed equilibrium existence result for a large relaxed economy • Obtaining an equilibrium for a large economy by purifying its relaxed one • Equilibrium existence results for price and consumption externalities.