Constructing Examples with 5 Equilibria for Symmetric 3 × 2 Ces / Les Pure Exchange Economies

This paper explores the existence of multiple equilibria for symmetric 3 individual, 2 good CES / LES pure exchange economies. Analytically, we show that there are no more than 5 equilibria in such economies. The number of equilibria varies from 5 to 3 then to 1. We generalize our analytical results of existence of 1, 3, 5 equilibria for a wide range of parametrizations. We also provide concrete examples of 1, 3, 5 equilibria with parameter zones specified.